KORG OT-12
 マルチテンペラメント機能で 以下古典音律にも対応のチューナー。 12等分平均律、ピュタゴラス、 ミーントーンD#、ミｰントーンE♭、 ヴェルクマイスターIII、 キルンベルガｰIII、ケルナー、 ヴァロッティ、ヤング | Temperament(調整、音律)ピュタゴラス音律や純正律において、ある特定の音程に生じるシントニックコンマ(Syntonic comma)を複数の音程に分散させるアイディア。それを用いて調律された音階自体も指す事もある。 ピュタゴラス音律や純正律はこのような分散の工夫がされていないので、Temperament という概念とは厳密な意味においては外れるが、日本語で「音律」と云う場合はこれらも含めて考えるのが一般的である。 →参考文献 |
wikipedia;音律 wikipedia;ピタゴラス音律 wikipedia;純正律 wikipedia;中全音律 wikipedia;平均律 wikipedia;十二平均律 |
| relative name (center tone=C) | interval | ±mQ±nT | equal Temperament | cent | Common-logarithms | Ratio | Note
|
C,壱越
| perfect 1st, 1st overtone, unison, Das Tonwort;bi
| 0.000000000000
| 0.00000000000000
| 1.0000000000000
| 1/1
| schwebungsfrei
| 8192√100cent
| 0.012207031250
| 0.00000306223547
| 1.0000070510826
| 8192√(12√2)
| Pitch Bend Sensitivity
| 4096√100cent
| 0.024414062500
| 0.00000612447094
| 1.0000141022149
| 4096√(12√2)
| Pitch Bend Sensitivity
| 0.999846432103 | 0.00025081980593 | 1.0005777007510 | 1732/1731 | The nearest whole number ratio for 1 cent
|
| 1cent(1200equal Temperament) | 1/1200 | 1.000000000000 | 0.00025085832972 | 1.0005777895066 | 1200√2 | 1200log音程比/log2=Xcent
|
| 1.000424211062 | 0.00025096474651 | 1.0005780346820 | 1731/1730 |
| 1024equal Temperament | 1/1024 | 1.171875000000 | 0.00029397460514 | 1.0006771306931 | 1024√2 |
| 1milli octave(1000equal Temperament) | 1/1000 | 1.200000000000 | 0.00030102999566 | 1.0006933874626 | 1000√2 |
| 768equal Temperament | 1/768 | 1.562500000000 | 0.00039196614019 | 1.0009029427990 | 768√2 |
His-1 | Schisma(スキスマ) | 8Q+1T | 1.953720787943 | 0.00049010713360 | 1.0011291503906 | 32805/32768 | Pythagoras comma | −Syntonic comma
| 12equal Temperament comma | 1.955000865387 | 0.00049042825169 | 1.0011298906275 | 3/(12√524288) | Pythagoras 5th | −12平均率5th
| 2cent | 2/1200 | 2.000000000000 | 0.00050171665944 | 1.0011559128538 | (1200√2)^2 |
| 3cent | 3/1200 | 3.000000000000 | 0.00075257498916 | 1.0017343702347 | (1200√2)^3 |
| 角度値(360equal Temperament) | 1/360 | 3.333333333333 | 0.00083619443240 | 1.0019272636247 | 360√2 |
| 441(Hz)/440(Hz) | 3.930158439433 | 0.00098591298165 | 1.0022727272727 | 441/440 |
| 440(Hz)/439(Hz) | 3.939100787162 | 0.00098815624407 | 1.0022779043280 | 440/439 |
| 1Savart(サヴァール/300 Equal Temperament), 4cent | 4/1200=1/300 | 4.000000000000 | 0.00100343331888 | 1.0023131618422 | (1200√2)^4 |
| 5cent | 5/1200 | 5.000000000000 | 0.00125429164860 | 1.0028922878694 | (1200√2)^5 |
| 6cent | 6/1200 | 6.000000000000 | 0.00150514997832 | 1.0034717485095 | (1200√2)^6 |
| 7cent | 7/1200 | 7.000000000000 | 0.00175600830804 | 1.0040515439559 | (1200√2)^7 |
| 442(Hz)/440(Hz) | 7.851415040126 | 0.00196959286290 | 1.0045454545455 | 442/440 |
| 440(Hz)/438(Hz) | 7.887184708183 | 0.00197856598208 | 1.0045662100456 | 440/438 |
| 8cent | 8/1200 | 8.000000000000 | 0.00200686663776 | 1.0046316744021 | (1200√2)^8 |
Hisis-1 | Kleisma(クライスマ) | -5Q+6T | 8.107278862068 | 0.00203377843391 | 1.0046939300412 | 15625/15552 |
| 9cent | 9/1200 | 9.000000000000 | 0.00225772496748 | 1.0052121400415 | (1200√2)^9 |
| 10cent | 10/1200 | 10.000000000000 | 0.00250858329720 | 1.0057929410679 | (1200√2)^10 |
| 11cent | 11/1200 | 11.000000000000 | 0.00275944162692 | 1.0063740776750 | (1200√2)^11 |
| 443(Hz)/440(Hz) | 11.763810036430 | 0.00295104973688 | 1.0068181818182 | 443/440 |
| 440(Hz)/437(Hz) | 11.844292828873 | 0.00297123951576 | 1.0068649885583 | 440/437 |
| 1centi octave(100equal Temperament),12cent | 12/1200=1/100 | 12.000000000000 | 0.00301029995664 | 1.0069555500567 | (1200√2)^12 |
| 13cent | 13/1200 | 13.000000000000 | 0.00326115828636 | 1.0075373584071 | (1200√2)^13 |
| 128/127comma | 13.578375873401 | 0.00340624869191 | 1.0078740157480 | 128/127 |
| 14cent | 14/1200 | 14.000000000000 | 0.00351201661608 | 1.0081195029203 | (1200√2)^14 |
| 15cent | 15/1200 | 15.000000000000 | 0.00376287494580 | 1.0087019837904 | (1200√2)^15 |
| 16cent | 16/1200 | 16.000000000000 | 0.00401373327552 | 1.0092848012119 | (1200√2)^16 |
| 17cent | 17/1200 | 17.000000000000 | 0.00426459160524 | 1.0098679553791 | (1200√2)^17 |
| 18cent | 18/1200 | 18.000000000000 | 0.00451544993496 | 1.0104514464868 | (1200√2)^18 |
| 440(Hz)/435.4(Hz;ディアパソン・ノーマル) | 18.194539468578 | 0.00456425178111 | 1.0105649977033 | 440/435.4 | 1859年
|
| 19cent
| 19/1200 | 19.000000000000 | 0.00476630826468 | 1.0110352747294 | (1200√2)^19 |
Deses+2 | Diaschisma | -4Q-2T | 19.552568808781 | 0.00490492475311 | 1.0113580246914 | 2048/2025 | 全音階的half tone | −大クローマ
| 20cent | 20/1200 | 20.000000000000 | 0.00501716659440 | 1.0116194403019 | (1200√2)^20 |
| 21cent | 21/1200 | 21.000000000000 | 0.00526802492412 | 1.0122039433992 | (1200√2)^21 |
C+1,Pramana | Syntonic comma, ディデュモス・comma |
| 4Q-1T
| 21.506289596715
| 0.00539503188671
| 1.0125000000000
| 81/80
| Pythagoras長3rd
| 22cent |
| 22/1200 |
| 22.000000000000
| 0.00551888325384
| 1.0127887842162
| (1200√2)^22
|
| 53equal Temperament,トルコのcomma,Das Tonwort;bo | 1/53 | 22.641509433962 | 0.00567981123894 | 1.0131641430249 | 53√2 | 純正率に近い | [Inv] 2 [x^y] 53
| Arabisches comma(19milli octave) | 19/1000 | 22.800000000000 | 0.00571956991762 | 1.0132569001591 | (1000√2)^19 |
| 23cent | 23/1200 | 23.000000000000 | 0.00576974158356 | 1.0133739629480 | (1200√2)^23 |
His | Pythagoras comma | 12Q | 23.460010384649 | 0.00588513902031 | 1.0136432647705 | 531441/524288 | Schisma x12
|
| approximation to ditonic comma | 23.554568098719 | 0.00590885961052 | 1.0136986301370 | 74/73 |
| 24cent | 24/1200 | 24.000000000000 | 0.00602059991328 | 1.0139594797900 | (1200√2)^24 |
| 25cent | 25/1200 | 25.000000000000 | 0.00627145824300 | 1.0145453349375 | (1200√2)^25 |
| 26cent | 26/1200 | 26.000000000000 | 0.00652231657272 | 1.0151315285860 | (1200√2)^26 |
| 27cent | 27/1200 | 27.000000000000 | 0.00677317490244 | 1.0157180609310 | (1200√2)^27 |
| 第7次comma(ｉ〜B) | 27.264091800100 | 0.00683942453031 | 1.0158730158730 | 64/63 | Pythagorasmin.7th | −第7倍音
| 63/62comma | 27.700335735650 | 0.00694885995533 | 1.0161290322581 | 63/62 |
| 43equal Temperament | 1/43 | 27.906976744186 | 0.00700069757358 | 1.0162503251936 | 43√2 |
| 28cent | 28/1200 | 28.000000000000 | 0.00702403323216 | 1.0163049321682 | (1200√2)^28 |
| 62/61comma | 28.150767388787 | 0.00706185448749 | 1.0163934426230 | 62/61 |
| 61/60comma | 28.616090345241 | 0.00717858462712 | 1.0166666666667 | 61/60 |
| 29cent | 29/1200 | 29.000000000000 | 0.00727489156188 | 1.0168921424935 | (1200√2)^29 |
| 60/59comma | 29.097055496013 | 0.00729923874150 | 1.0169491525424 | 60/59 |
| 41equal Temperament | 1/41 | 29.268292682927 | 0.00734219501619 | 1.0170497444436 | 41√2 |
| 59/58comma | 29.594465081123 | 0.00742401807921 | 1.0172413793103 | 59/58 |
| 30cent | 30/1200 | 30.000000000000 | 0.00752574989160 | 1.0174796921027 | (1200√2)^30 |
| 58/57comma | 30.109177155397 | 0.00755313789045 | 1.0175438596491 | 58/57 |
| 57/56comma | 30.642110528565 | 0.00768682866629 | 1.0178571428571 | 57/56 |
| 31cent | 31/1200 | 31.000000000000 | 0.00777660822132 | 1.0180675811919 | (1200√2)^31 |
| 56/55comma | 31.194250239533 | 0.00782533751196 | 1.0181818181818 | 56/55 |
| 55/54comma | 31.766653633429 | 0.00796892967128 | 1.0185185185185 | 55/54 |
| 32cent | 32/1200 | 32.000000000000 | 0.00802746655104 | 1.0186558099573 | (1200√2)^32 |
| 54/53comma | 32.360457120323 | 0.00811789022218 | 1.0188679245283 | 54/53 |
| 53/52comma | 32.976883706528 | 0.00827252596599 | 1.0192307692308 | 53/52 |
| 33cent | 33/1200 | 33.000000000000 | 0.00827832488076 | 1.0192443785951 | (1200√2)^33 |
| 52/51comma | 33.617251403516 | 0.00843316753686 | 1.0196078431373 | 52/51 |
| 34cent | 34/1200 | 34.000000000000 | 0.00852918321048 | 1.0198332873016 | (1200√2)^34 |
| 51/50quarter Tone | 34.282982636125 | 0.00860017176192 | 1.0200000000000 | 51/50 |
| 50/49quarter Tone | 34.975614791420 | 0.00877392430751 | 1.0204081632653 | 50/49 |
| 35cent | 35/1200 | 35.000000000000 | 0.00878004154020 | 1.0204225362735 | (1200√2)^35 |
| 49/48quarter Tone | 35.696812072862 | 0.00895484265293 | 1.0208333333333 | 49/48 |
| 36cent | 36/1200 | 36.000000000000 | 0.00903089986992 | 1.0210121257072 | (1200√2)^36 |
| 48/47quarter Tone | 36.448378852223 | 0.00914337943987 | 1.0212765957447 | 48/47 |
| 37cent | 37/1200 | 37.000000000000 | 0.00928175819964 | 1.0216020557995 | (1200√2)^37 |
| 47/46quarter Tone | 37.232274744749 | 0.00934002625414 | 1.0217391304348 | 47/46 |
| 38cent | 38/1200 | 38.000000000000 | 0.00953261652936 | 1.0221923267472 | (1200√2)^38 |
| 46/45quarter Tone | 38.050631672806 | 0.00954531790623 | 1.0222222222222 | 46/45 |
| 31equal Temperament | 1/31 | 38.709677419355 | 0.00971064502142 | 1.0226114356013 | 31√2 | Meantoneに近い
|
| 45/44quarter Tone | 38.905773230853 | 0.00975983728916 | 1.0227272727273 | 45/44 |
| 39cent | 39/1200 | 39.000000000000 | 0.00978347485908 | 1.0227829387473 | (1200√2)^39 |
| 40cent | 40/1200 | 40.000000000000 | 0.01003433318880 | 1.0233738919968 | (1200√2)^40 |
| 41cent | 41/1200 | 41.000000000000 | 0.01028519151852 | 1.0239651866929 | (1200√2)^41 |
Deses+3 | minor diesis/diesis | -3T | 41.058858405496 | 0.01029995663981 | 1.0240000000000 | 128/125 | 純正長3rdｘ３
|
| 42cent | 42/1200 | 42.000000000000 | 0.01053604984824 | 1.0245568230328 | (1200√2)^42 |
| 43cent | 43/1200 | 43.000000000000 | 0.01078690817796 | 1.0251488012140 | (1200√2)^43 |
| 40/39quarter Tone | 43.831051230137 | 0.01099538430146 | 1.0256410256410 | 40/39 |
| 44cent | 44/1200 | 44.000000000000 | 0.01103776650768 | 1.0257411214340 | (1200√2)^44 |
| 39/38quarter Tone | 44.969646502395 | 0.01128101040969 | 1.0263157894737 | 39/38 |
| 45cent | 45/1200 | 45.000000000000 | 0.01128862483740 | 1.0263337838904 | (1200√2)^45 |
| Das Tonwort;bu | 2/53 | 45.283018867925 | 0.01135962247789 | 1.0265015807114 | (53√2)^2 | ([Inv] 2 [x^y] 53) | →[x^y] 2
| 46cent | 46/1200 | 46.000000000000 | 0.01153948316712 | 1.0269267887810 | (1200√2)^46 |
| 38/37quarter Tone | 46.168977377563 | 0.01158187254982 | 1.0270270270270 | 38/37 |
| 47cent | 47/1200 | 47.000000000000 | 0.01179034149684 | 1.0275201363035 | (1200√2)^47 |
| 37/36quarter Tone | 47.434037023965 | 0.01189922329971 | 1.0277777777778 | 37/36 |
| 48cent | 48/1200 | 48.000000000000 | 0.01204119982656 | 1.0281138266561 | (1200√2)^48 |
| 452.5(Hz;フィルハモニック・ピッチ)/440(Hz) | 48.497122135090 | 0.01216590705503 | 1.0284090909091 | 452.5/440 | 1846年
|
| 36/35quarter Tone | 48.770381396815 | 0.01223445641701 | 1.0285714285714 | 36/35 |
| 49cent | 49/1200 | 49.000000000000 | 0.01229205815628 | 1.0287078600367 | (1200√2)^49 |
Cis-3 | -5Q+3T | 49.166137267567 | 0.01233373507373 | 1.0288065843621 | 250/243 |
| 24equal Temperament, 50cent, 4分音 | 1/24=50/1200 | 50.000000000000 | 0.01254291648600 | 1.0293022366435 | 24√2 |
| 35/34quarter Tone | 50.184210833553 | 0.01258912730802 | 1.0294117647059 | 35/34 |
| 51cent | 51/1200 | 51.000000000000 | 0.01279377481572 | 1.0298969566749 | (1200√2)^51 |
| 34/33quarter Tone | 51.682466270263 | 0.01296497716437 | 1.0303030303030 | 34/33 |
| 52cent | 52/1200 | 52.000000000000 | 0.01304463314544 | 1.0304920203293 | (1200√2)^52 |
| 53cent | 53/1200 | 53.000000000000 | 0.01329549147516 | 1.0310874278052 | (1200√2)^53 |
| 33/32quarter Tone | 53.272943230144 | 0.01336396155798 | 1.0312500000000 | 33/32 |
| 54cent | 54/1200 | 54.000000000000 | 0.01354634980488 | 1.0316831793014 | (1200√2)^54 |
| 32/31quarter Tone | 54.964427535750 | 0.01378828448563 | 1.0322580645161 | 32/31 |
| 55cent | 55/1200 | 55.000000000000 | 0.01379720813460 | 1.0322792750165 | (1200√2)^55 |
| 56cent | 56/1200 | 56.000000000000 | 0.01404806646432 | 1.0328757151494 | (1200√2)^56 |
| 31/30quarter Tone | 56.766857734028 | 0.01424043911461 | 1.0333333333333 | 31/30 |
| 57cent | 57/1200 | 57.000000000000 | 0.01429892479404 | 1.0334724998992 | (1200√2)^57 |
| 58cent | 58/1200 | 58.000000000000 | 0.01454978312376 | 1.0340696294649 | (1200√2)^58 |
| 2/41 | 58.536585365854 | 0.01468439003239 | 1.0343901826729 | (41√2)^2 |
| 30/29quarter Tone | 58.691520577136 | 0.01472325682071 | 1.0344827586207 | 30/29 |
| 59cent | 59/1200 | 59.000000000000 | 0.01480064145348 | 1.0346671040459 | (1200√2)^59 |
| 60cent | 60/1200 | 60.000000000000 | 0.01505149978320 | 1.0352649238414 | (1200√2)^60 |
| 29/28quarter Tone | 60.751287683962 | 0.01523996655674 | 1.0357142857143 | 29/28 |
| 61cent | 61/1200 | 61.000000000000 | 0.01530235811292 | 1.0358630890509 | (1200√2)^61 |
| 62cent | 62/1200 | 62.000000000000 | 0.01555321644264 | 1.0364615998740 | (1200√2)^62 |
Deses+4 | Great Diesis | 4Q-4T | 62.565148002210 | 0.01569498852652 | 1.0368000000000 | 648/625 | 純正min.3rdｘ４
|
| アルキュタスのhalf tone,28/27quarter Tone | 62.960903872963 | 0.01579426718323 | 1.0370370370370 | 28/27 | クリ音-大全音
|
| 63cent | 63/1200 | 63.000000000000 | 0.01580407477236 | 1.0370604565103 | (1200√2)^63 |
| 19equal Temperament | 1/19 | 63.157894736842 | 0.01584368398231 | 1.0371550444462 | 19√2 |
| 440(Hz)/424.2(Hz;プレトリウスのオルガン) | 63.310683457760 | 0.01588201230564 | 1.0372465818010 | 440/424.2 | 1619年
|
| 64cent | 64/1200 | 64.000000000000 | 0.01605493310208 | 1.0376596591598 | (1200√2)^64 |
| 65cent | 65/1200 | 65.000000000000 | 0.01630579143180 | 1.0382592080222 | (1200√2)^65 |
| 27/26quarter Tone | 65.337340826852 | 0.01639041618817 | 1.0384615384615 | 27/26 |
| 66cent | 66/1200 | 66.000000000000 | 0.01655664976152 | 1.0388591032977 | (1200√2)^66 |
| 67cent | 67/1200 | 67.000000000000 | 0.01680750809124 | 1.0394593451863 | (1200√2)^67 |
| 26/25quarter Tone | 67.900234039641 | 0.01703333929878 | 1.0400000000000 | 26/25 |
| Das Tonwort;re | 3/53 | 67.924528301887 | 0.01703943371683 | 1.0400145943352 | (53√2)^3 |
| 68cent | 68/1200 | 68.000000000000 | 0.01705836642096 | 1.0400599338885 | (1200√2)^68 |
| 69cent | 69/1200 | 69.000000000000 | 0.01730922475068 | 1.0406608696045 | (1200√2)^69 |
| 70cent | 70/1200 | 70.000000000000 | 0.01756008308040 | 1.0412621525348 | (1200√2)^70 |
| 440(Hz)/422.5(Hz;ヘンデルの音叉) | 70.262618826136 | 0.01762596320048 | 1.0414201183432 | 440/422.5 | 1751年
|
Cis-2 | 純正率半音階的小半音(小クローマ),(小)増1st(Ees+1〜E-1),25/24half tone |
| -1Q+2T
|
| 70.672426864282
| 0.01772876696043
| 1.0416666666667
| 25/24
| 小全音−
| 71cent | 71/1200 | 71.000000000000 | 0.01781094141012 | 1.0418637828801 | (1200√2)^71 |
| 72cent | 72/1200 | 72.000000000000 | 0.01806179973984 | 1.0424657608411 | (1200√2)^72 |
| 73cent | 73/1200 | 73.000000000000 | 0.01831265806956 | 1.0430680866187 | (1200√2)^73 |
| approximation to meantone chromatic semitone, 24/23half tone | 73.680653596972 | 0.01848340569401 | 1.0434782608696 | 24/23 |
| 74cent | 74/1200 | 74.000000000000 | 0.01856351639928 | 1.0436707604138 | (1200√2)^74 |
| 75cent | 75/1200 | 75.000000000000 | 0.01881437472900 | 1.0442737824274 | (1200√2)^75 |
| 76cent | 76/1200 | 76.000000000000 | 0.01906523305872 | 1.0448771528609 | (1200√2)^76 |
(Cis-7/4) | Meantone半音階的 half tone(増1st) | 76.048999263461 | 0.01907752493211 | 1.0449067265257 | (4√78125)/16 |
| 23/22half tone | 76.956404903659 | 0.01930515519539 | 1.0454545454546 | 23/22 |
| 77cent | 77/1200 | 77.000000000000 | 0.01931609138844 | 1.0454808719154 | (1200√2)^77 |
| 2/31 | 77.419354838710 | 0.01942129004284 | 1.0457341482225 | (31√2)^2 |
| 78cent | 78/1200 | 78.000000000000 | 0.01956694971816 | 1.0460849397925 | (1200√2)^78 |
| 79cent | 79/1200 | 79.000000000000 | 0.01981780804788 | 1.0466893566937 | (1200√2)^79 |
| 80cent | 80/1200 | 80.000000000000 | 0.02006866637760 | 1.0472941228206 | (1200√2)^80 |
| 22/21half tone | 80.537035030244 | 0.02020338608829 | 1.0476190476191 | 22/21 |
| 81cent | 81/1200 | 81.000000000000 | 0.02031952470732 | 1.0478992383751 | (1200√2)^81 |
| 82cent | 82/1200 | 82.000000000000 | 0.02057038303704 | 1.0485047035589 | (1200√2)^82 |
| 83cent | 83/1200 | 83.000000000000 | 0.02082124136676 | 1.0491105185742 | (1200√2)^83 |
| 84cent | 84/1200 | 84.000000000000 | 0.02107209969648 | 1.0497166836231 | (1200√2)^84 |
| 21/20half tone | 84.467193469678 | 0.02118929906994 | 1.0500000000000 | 21/20 |
| 85cent | 85/1200 | 85.000000000000 | 0.02132295802620 | 1.0503231989077 | (1200√2)^85 |
| 86cent | 86/1200 | 86.000000000000 | 0.02157381635592 | 1.0509300646305 | (1200√2)^86 |
| 87cent | 87/1200 | 87.000000000000 | 0.02182467468564 | 1.0515372809940 | (1200√2)^87 |
| 3/41 | 87.804878048781 | 0.02202658504858 | 1.0520262709424 | (41√2)^3 |
| 88cent
| 88/1200 | 88.000000000000 | 0.02207553301536 | 1.0521448482007 | (1200√2)^88 |
| 20/19half tone,malcolm(dis~e) | 88.800697732532 | 0.02227639471115 | 1.0526315789474 | 20/19 |
| 89cent | 89/1200 | 89.000000000000 | 0.02232639134508 | 1.0527527664534 | (1200√2)^89 |
| 90cent | 90/1200 | 90.000000000000 | 0.02257724967480 | 1.0533610359548 | (1200√2)^90 | Des,断金 | Pythagoras・limma(min.2nd), 古代half tone | -5Q | 90.224995673063 | 0.02263369171354 | 1.0534979423868 | 256/243 | 小全音-大クローマ
|
| Das Tonwort;ri,(バキーイェ) | 4/53 | 90.566037735849 | 0.02271924495577 | 1.0537054952030 | (53√2)^4 |
| 91cent | 91/1200 | 91.000000000000 | 0.02282810800452 | 1.0539696569080 | (1200√2)^91 |
| 92cent | 92/1200 | 92.000000000000 | 0.02307896633424 | 1.0545786295160 | (1200√2)^92 |
Cis-1 | 純正率半音階的大半音(大クローマ),小limma,(大)増1st(F0〜Fis-1) | 3Q+1T | 92.178716460997 | 0.02312379884714 | 1.0546875000000 | 135/128 | 大全音− | ダイアトニックhalf tone
| 93cent | 93/1200 | 93.000000000000 | 0.02332982466396 | 1.0551879539820 | (1200√2)^93 |
| 19/18half tone,malcolm(d~dis) | 93.603014401528 | 0.02348109584952 | 1.0555555555556 | 19/18 |
| 94cent | 94/1200 | 94.000000000000 | 0.02358068299368 | 1.0557976305092 | (1200√2)^94 |
| 95cent | 95/1200 | 95.000000000000 | 0.02383154132340 | 1.0564076593012 | (1200√2)^95 |
| 96cent | 96/1200 | 96.000000000000 | 0.02408239965312 | 1.0570180405614 | (1200√2)^96 |
| Neidhardt 小min.2nd | 96.089998269225 | 0.02410497646861 | 1.0570729911135 | (4√8192)/9 |
| 97cent | 97/1200 | 97.000000000000 | 0.02433325798284 | 1.0576287744935 | (1200√2)^97 |
| 98cent | 98/1200 | 98.000000000000 | 0.02458411631256 | 1.0582398613012 | (1200√2)^98 |
| Galilei'half tone, approximation to semitone of equal temperament | 98.954592230368 | 0.02482358372503 | 1.0588235294118 | 18/17 |
| 99cent | 99/1200 | 99.000000000000 | 0.02483497464228 | 1.0588513011885 | (1200√2)^99 | (100cent近似値) | 99.906604379223 | 0.02506240390256 | 1.0594059405940 | 107/101 |
Cis,Des |
12equal Temperament, 平均率半音(増1st,min.2nd),100cent |
| 1/12=2/24= 100/1200 | 100.000000000000 | 0.02508583297200 | 1.0594630943593 | 12√2 | Pythagoras comma/12
| (12equal Temperament half tone近似値) | 100.099209825165 | 0.02511072058303 | 1.0595238095238 | 89/84 | キルンベンガー第2のmin.2nd | 100.978140471420 | 0.02533120765689 | 1.0600618559999 | 64/27･√5 | Neidhardt 大min.2nd | 101.955000865387 | 0.02557626122369 | 1.0606601717798 | 3/√8 |
| 第17倍音 | 104.955409500407 | 0.02632893872235 | 1.0625000000000 | 17/16 |
| ヴァロッティのmin.2nd | 105.865002596162 | 0.02655711772708 | 1.0630583858488 | 27/3√16384 |
Des+1 | 純正率全音階的half tone,(小)min.2nd,ダイアトニックhalf tone,第1/15倍音 | -1Q-1T | 111.731285269778 | 0.02802872360024 | 1.0666666666667 | 16/15 |
| Das Tonwort;ro | (キュチュク・ミュジュンネプ)
|
| 5/53
| 113.207547169811
| 0.02839905619472
| 1.0675766250480
| (53√2)^5 Cis | Pythagoras・アポドメー(増1st),古代嬰half tone | 7Q | 113.685006057712 | 0.02851883073384 | 1.0678710937500 | 2187/2048 | 大全音− | Pythagoras・limma
| 3/31 | 116.129032258065 | 0.02913193506426 | 1.0693796985711 | (31√2)^3 |
| 4/41 | 117.073170731707 | 0.02936878006478 | 1.0699630500100 | (41√2)^4 |
(Des+5/4) | Meantone全音階的half tone(min.2nd, Cis〜D) | 117.107857668956 | 0.02937748157192 | 1.0699844879623 | 8/(4√3125) | (5^-5/4)ｘ(2^3)
|
| approximation to meantone diatonic
semitone,15/14half tone | 119.442808261097 | 0.02996322337744 | 1.0714285714286 | 15/14 |
| 10equal Temperament | 1/10 | 120.000000000000 | 0.03010299956640 | 1.0717734625363 | 10√2 |
| 2/19 | 126.315789473684 | 0.03168736796463 | 1.0756905862202 | (19√2)~2 |
| 14/13half tone | 128.298244699814 | 0.03218468337140 | 1.0769230769231 | 14/13 | Des+2 | 大limma(min.3rd-小全音), 和声的嬰half tone | 3Q-2T | 133.237574866493 | 0.03342375548695 | 1.0800000000000 | 27/25 | 大全音-小クロマ
| 9equal Temperament | 1/9 | 133.333333333333 | 0.03344777729600 | 1.0800597388923 | 9√2 |
| Das Tonwort;ru | 6/53 | 135.849056603774 | 0.03407886743366 | 1.0816303564302 | (53√2)^6 |
| 13/12half tone | 138.572660903923 | 0.03476210625921 | 1.0833333333333 | 13/12 |
| 5/41 | 146.341463414634 | 0.03671097508097 | 1.0882056465768 | (41√2)^5 |
| 150cent | 3/24=150/1200 | 150.000000000000 | 0.03762874945800 | 1.0905077326653 | (24√2)^3 |
| トランペット3/4音(k〜G),12/11half tone | 150.637058500631 | 0.03778856088940 | 1.0909090909091 | 12/11 | perfect5th | −第11倍音
| 4/31 | 154.838709677419 | 0.03884258008568 | 1.0935599087586 | (31√2)^4 |
| Das Tonwort;te, | 7/53 | 158.490566037736 | 0.03975867867260 | 1.0958690931423 | (53√2)^7 |
D-2 | -6Q+2T | 160.897422537345 | 0.04036245867397 | 1.0973936899863 | 800/729 |
Cisis-3 | 純正率2重増1st | 2Q+3T | 162.851143325279 | 0.04085256580757 | 1.0986328125000 | 1125/1024 |
| 11/10half tone | 165.004228499922 | 0.04139268515823 | 1.1000000000000 | 11/10 |
| 7equal Temperament | 1/7 | 171.428571428571 | 0.04300428509485 | 1.1040895136738 | 7√2 | タイの音律に近い
|
| 6/41 | 175.609756097561 | 0.04405317009717 | 1.1067592747530 | (41√2)^6 |
Eses | Pythagoras減3rd | -10Q | 180.449991346126 | 0.04526738342707 | 1.1098579146133 | 65536/59049 |
| Das Tonwort;ti | (ビュユク・ミュジェンネプ) 8/53 | 181.132075471698 | 0.04543848991154 | 1.1102952706211 | (53√2)^8 |
D-1 | 小全音,純正率長2nd(D〜E-1),第9倍音〜第10倍音 | -2Q+1T | 182.403712134060 | 0.04575749056068 | 1.1111111111111 | 10/9 | 純正率長3rd | −大全音
| 3/19 | 189.473684210526 | 0.04753105194694 | 1.1156579177615 | (19√2)~3 |
| Malcolm(cis~dis) | 192.557606631895 | 0.04830467957456 | 1.1176470588235 | 19/17 |
(D-1/2) | 中全音(Meantone長2nd) | 193.156856932417 | 0.04845500650403 | 1.1180339887499 | √5/2 |
| 5/31 | 193.548387096774 | 0.04855322510709 | 1.1182868682116 | (31√2)^5 |
| 193.756107232940 | 0.04860533343350 | 1.1184210526316 | 85/76 |
| ヴァロッティの長2nd | 196.089998269225 | 0.04919080944061 | 1.1199298221288 | 3√1024/9 |
D,Cisis,Eses |
12平均率全音(長2nd),200cent |
| 2/12=4/24=200/1200 | 200.000000000000 | 0.05017166594400 | 1.1224620483094 | (12√2)^2 |
|
| (12平均率全音近似値) | 200.058533959707 | 0.05018634967536 | 1.1225000000000 | 449/400 |
| 200.531983002310 | 0.05030511831140 | 1.1228070175439 | 64/57 |
| Das Tonwort;to | (タニーニー) 9/53 | 203.773584905660 | 0.05111830115049 | 1.1249113563634 | (53√2)^9 |
D,平調 | 大全音,Pythagoras長2nd,トノス, 純正率長2nd,第9倍音 | 2Q | 203.910001730775 | 0.05115252244738 | 1.1250000000000 | 9/8 | Pythagoras limmaｘ２ | +Pythagoras comma
| 7/41 | 204.878048780488 | 0.05139536511336 | 1.1256292375482 | (41√2)^7
|
| 210.685877500145 | 0.05285230732528 | 1.1294117647059 | 96/85 | 216.686694770185 | 0.05435766232259 | 1.1333333333333 | 17/15 |
Eses+2 | 純正率減3rd | -2Q-2T | 223.462570539556 | 0.05605744720049 | 1.1377777777778 | 256/225 |
D+1 | 6Q-1T | 225.416291327490 | 0.05654755433409 | 1.1390625000000 | 729/640 |
| Das Tonwort;tu | 10/53 | 226.415094339623 | 0.05679811238943 | 1.1397198503489 | (53√2)^10 |
| 第1/7倍音,SuperSecond | 231.174093530875 | 0.05799194697769 | 1.1428571428571 | 8/7 | (｛1/7}/{1/4})
|
| 6/31 | 232.258064516129 | 0.05826387012851 | 1.1435729397160 | (31√2)^6 |
| 8/41 | 234.146341463415 | 0.05873756012956 | 1.1448209283866 | (41√2)^8 |
| 5equal Temperament | 1/5=2/10=240/1200 | 240.000000000000 | 0.06020599913280 | 1.1486983549970 | 5√2 |
Eses+3 | 2Q-3T | 244.968860136270 | 0.06145247908719 | 1.1520000000000 | 144/125 |
| 247.741052960912 | 0.06214790674884 | 1.1538461538462 | 15/13 |
| Das Tonwort;ta | 11/53 | 249.056603773585 | 0.06247792362837 | 1.1547232854672 | (53√2)^11 |
| 250cent | 5/24=250/1200 | 250.000000000000 | 0.06271458243000 | 1.1553526968723 | (24√2)^5 |
| 4/19 | 252.631578947368 | 0.06337473592926 | 1.1571102372827 | (19√2)~4 |
Dis-3 | SubminorThird | -3Q+3T | 253.076138998342 | 0.06348625752111 | 1.1574074074074 | 125/108 |
| 9/41 | 263.414634146341 | 0.06607975514575 | 1.1643398326493 | (41√2)^9 |
| 2/9 | 266.666666666667 | 0.06689555459200 | 1.1665290395761 | (9√2)^2 |
| 第7次min.3rd(G〜i),クリ音 | 266.870905603738 | 0.06694678963061 | 1.1666666666667 | 7/6 |
(Dis-9/4) | Meantone増2nd | 269.205856195878 | 0.06753253143614 | 1.1682412353291 | (4√1953125)/32 | {(4√3125)/4｝ | ÷(8/5)
| 7/31 | 270.967741935484 | 0.06797451514993 | 1.1694307655977 | (31√2)^7 |
| Das Tonwort;mi | (アルテゥク・イキリ) 12/53 | 271.698113207547 | 0.06815773486732 | 1.1699242279513 | (53√2)^12 |
Dis-2 | 純正率増2nd | 1Q+2T | 274.582428595057 | 0.06888128940781 | 1.1718750000000 | 75/64 |
| 281.358304364428 | 0.07058107428571 | 1.1764705882353 | 20/17 |
| 287.359121634467 | 0.07208642928302 | 1.1805555555556 | 85/72 |
| 289.209719404554 | 0.07255066714861 | 1.1818181818182 | 13/11 |
| 10/41 | 292.682926829268 | 0.07342195016195 | 1.1841915292415 | (41√2)^10 |
| 292.710699463307 | 0.07342891715853 | 1.1842105263158 | 45/38 |
Es,勝絶 | Pythagorasmin.3rd | -3Q | 294.134997403838 | 0.07378621416092 | 1.1851851851852 | 32/27 |
| Das Tonwort;mo | 13/53 | 294.339622641509 | 0.07383754610626 | 1.1853252778164 | (53√2)^13 |
Dis-1 | 5Q+1T | 296.088718191772 | 0.07427632129452 | 1.1865234375000 | 1215/1024 |
| 第19倍音 | 297.513016132303 | 0.07463361829690 | 1.1875000000000 | 19/16 |
| (12平均率min.3rd近似値) | 299.973903610017 | 0.07525095241919 | 1.1891891891892 | 44/37 |
Dis,Es |
12平均率増2nd,min.3rd,300cent |
| 3/12=6/24=300/1200 300.000000000000 | 0.07525749891600 | 1.1892071150027 | (12√2)^3 |
| ペルシアの3rd | 302.864593961142 | 0.07597610617241 | 1.1911764705882 | 81/68 | Kirnberger第2のmin.3rd | 304.888142202195 | 0.07648373010427 | 1.1925695879999 | 8/3･√5 | 305.487392502717 | 0.07663405703374 | 1.1929824561404 | 68/57 | ヴァロッティのmin.3rd | 305.865002596162 | 0.07672878367107 | 1.1932426932523 | 27/6√134217728 |
| 8/31 | 309.677419354839 | 0.07768516017135 | 1.1958732740441 | (31√2)^8 |
(Es+3/4) | Meantonemin.3rd | 310.264714601374 | 0.07783248807595 | 1.1962790249770 | 4(4√5)/5 |
Es+1 | 純正率min.3rd | 1Q-1T | 315.641287000553 | 0.07918124604762 | 1.2000000000000 | 6/5 |
| 5/19 | 315.789473684211 | 0.07921841991157 | 1.2001027195781 | (19√2)~5 |
| Das Tonwort;mu | 14/53 | 316.981132075472 | 0.07951735734520 | 1.2009290693046 | (53√2)^14 |
Dis | Pythagoras +2nd | 9Q | 317.595007788487 | 0.07967135318123 | 1.2013549804688 | 19683/16384 |
| 11/41 | 321.951219512195 | 0.08076414517814 | 1.2043816921874 | (41√2)^11 |
Feses+3 | -3Q-3T | 335.193855809333 | 0.08408617080073 | 1.2136296296296 | 4096/3375 |
Es+2 | 5Q-2T | 337.147576597267 | 0.08457627793433 | 1.2150000000000 | 243/200 |
| Das Tonwort;ma | 15/53 | 339.622641509434 | 0.08519716858415 | 1.2167382713357 | (53√2)^15 |
| 2/7 | 342.857142857143 | 0.08600857018971 | 1.2190136542045 | (7√2)^2 |
| 11/9(Ptolemaios 3rd) | 347.407940633982 | 0.08715017571890 | 1.2222222222222 | 11/9 |
| 9/31 | 348.387096774193 | 0.08739580519277 | 1.2229136855675 | (31√2)^9 |
| 350cent | 7/24=350/1200 | 350.000000000000 | 0.08780041540199 | 1.2240535433047 | (24√2)^7 |
| 12/41 | 351.219512195122 | 0.08810634019434 | 1.2249160922518 | (41√2)^12 |
| ザルザルの中立3rd(ザルザルの中指) | 354.547060231406 | 0.08894108333678 | 1.2272727272727 | 27/22 |
| 第1/13倍音 | 359.472338230689 | 0.09017663034909 | 1.2307692307692 | 16/13 | (1/13)÷(1/8)
|
| 3/10 | 360.000000000000 | 0.09030899869919 | 1.2311444133449 | (10√2)^3 |
| Das Tonwort;gi | 16/53 | 362.264150943396 | 0.09087697982309 | 1.2327555879635 | (53√2)^16 |
E-2 | -4Q+2T | 364.807424268120 | 0.09151498112135 | 1.2345679012346 | 100/81 |
| 365.825497834105 | 0.09177037335565 | 1.2352941176471 | 105/85 |
| 6/19 | 378.947368421053 | 0.09506210389389 | 1.2446925894640 | (19√2)~6 |
| サリナスの長3rd | 379.144950665930 | 0.09511166904582 | 1.2448346518214 | (3√625)/(3√4)(3√81) |
| 13/41 | 380.487804878049 | 0.09544853521053 | 1.2458005985896 | (41√2)^13 |
Fes | ピュタゴタス減4th | -8Q | 384.359993076901 | 0.09641990587446 | 1.2485901539400 | 8192/6561 |
| Das Tonwort;go | 17/53 | 384.905660377359 | 0.09655679106203 | 1.2489837588382 | (53√2)^17 |
E-1 | 純正率長3rd,Meantone長3rd,第3倍音, アルキタスの3rd | 386.313713864835 | 0.09691001300806 | 1.2500000000000 | 5/4 | 大全音+小全音
|
| 10/31 | 387.096774193548 | 0.09710645021419 | 1.2505655196146 | (31√2)^10 |
| 393.089589634205 | 0.09860979788595 | 1.2549019607843 | 64/51 |
| 399.090406904245 | 0.10011515288327 | 1.2592592592593 | 34/27 |
E,Disis,Fes |
12平均率長3rd,400cent |
|
4/12=8/24=3/9=400/1200 |
400.000000000000 |
0.10034333188799 |
1.2599210498949 |
(12√2)^4 | (12平均率長3rd近似値) | 400.108480470230 | 0.10037054511756 | 1.2600000000000 | 63/50 | ガナッシの長3rd | 404.441984733085 | 0.10145764075878 | 1.2631578947368 | 24/19 |
Fes+1 | (小)減4th | -4Q-1T | 405.866282673616 | 0.10181493776116 | 1.2641975308642 | 512/405 |
| Das Tonwort;gu | 18/53 | 407.547169811321 | 0.10223660230098 | 1.2654255596753 | (53√2)^18 |
E,下無 | Pythagoras長3rd,2全音,ディトヌス | 4Q | 407.820003461550 | 0.10230504489476 | 1.2656250000000 | 81/64 |
| 409.244301402080 | 0.10266234189715 | 1.2666666666667 | 19/15 |
| 14/41 | 409.756097560976 | 0.10279073022673 | 1.2670411804232 | (41√2)^14 |
| 417.507964104368 | 0.10473535052001 | 1.2727272727273 | 14/11 |
| マルカムの長3rd | 420.596696500960 | 0.10551018476997 | 1.2750000000000 | 51/40 |
| 11/31 | 425.806451612903 | 0.10681709523561 | 1.2788426013265 | (31√2)^11 |
Fes+2 | (大)減4th,第1/25倍音 | -2T | 427.372572270330 | 0.10720996964787 | 1.2800000000000 | 32/25 |
| Das Tonwort;ga | 19/53 | 430.188679245283 | 0.10791641353992 | 1.2820838027303 | (53√2)^19 |
| SuperMajorThird | 435.084095261650 | 0.10914446942507 | 1.2857142857143 | 9/7 |
| 15/41 | 439.024390243902 | 0.11013292524292 | 1.2886439087490 | (41√2)^15 |
| 7/19 | 442.105263157895 | 0.11090578787620 | 1.2909391979474 | (19√2)~7 |
Fes+3 | 4Q-3T | 448.878861867045 | 0.11260500153458 | 1.2960000000000 | 162/125 |
| 450cent | 9/24=450/1200 | 450.000000000000 | 0.11288624837399 | 1.2968395546510 | (24√2)^9 |
| Das Tonwort;ge | 20/53 | 452.830188679245 | 0.11359622477886 | 1.2989613372793 | (53√2)^20 |
| 454.213947904476 | 0.11394335230684 | 1.3000000000000 | 13/10 |
Eis-3 | (小)増3rd | -1Q+3T | 456.986140729117 | 0.11463877996849 | 1.3020833333333 | 125/96 |
| 12/31 | 464.516129032258 | 0.11652774025703 | 1.3077590684506 | (31√2)^12 |
| 16/41 | 468.292682926829 | 0.11747512025912 | 1.3106149580720 | (41√2)^16 |
| 第21倍音 | 470.780907334512 | 0.11809931207800 | 1.3125000000000 | 21/16 | Das Tonwort;so | 21/53 | 475.471698113208 | 0.11927603601780 | 1.3160610501071 | (53√2)^21 |
F-1 | 狭い4th | -5Q+1T | 476.538709537898 | 0.11954370472159 | 1.3168724279835 | 320/243 |
Eis-2 | (大)増3rd | 3Q+2T | 478.492430325832 | 0.12003381185519 | 1.3183593750000 | 675/512 |
| 2/5=4/10=480/1200 | 480.000000000000 | 0.12041199826559 | 1.3195079107729 | (5√2)^2
|
| 485.268306095202 | 0.12173359673309 | 1.3235294117647 | 45/34 |
| 491.269123365242 | 0.12323895173041 | 1.3281250000000 | 85/64 |
| 17/41 | 497.560975609756 | 0.12481731527531 | 1.3329606081711 | (41√2)^17 |
F | Pythagorasperfect4th,純正率perfect4th, 第1/3倍音 | -1Q | 498.044999134613 | 0.12493873660830 | 1.3333333333333 | 4/3 | octave− | perfect5th
| Das Tonwort;su | 22/53 | 498.113207547170 | 0.12495584725675 | 1.3333858660003 | (53√2)^22 |
| (12平均率4th近似値) | 499.950595418443 | 0.12541677130918 | 1.3348017621145 | 303/227 |
F,Eis,Geses |
12平均率4th,500cent |
| 5/12=10/24=500/1200 | 500.000000000000 | 0.12542916485999 | 1.3348398541700 | (12√2)^5 |
|
| 13/31 | 503.225806451613 | 0.12623838527844 | 1.3373293784088 | (31√2)^13 |
(F+1/4) | Meantoneperfect4th | 503.421571533791 | 0.12628749457998 | 1.3374806099528 | 2/(4√5) |
| 8/19 | 505.263157894737 | 0.12674947185852 | 1.3389041012245 | (19√2)~8 |
| 508.198893632448 | 0.12748592562218 | 1.3411764705882 | 114/85 |
| 509.397394233492 | 0.12778657948113 | 1.3421052631579 | 51/38 |
| 3/7 | 514.285714285714 | 0.12901285528456 | 1.3459001926324 | (7√2)^3 |
F+1 | 3Q-1T | 519.551288731327 | 0.13033376849501 | 1.3500000000000 | 27/20 |
| Das Tonwort;sa | 23/53 | 520.754716981132 | 0.13063565849569 | 1.3509387482477 | (53√2)^23 |
Eis | Pythagoras増3rd | 11Q | 521.505009519262 | 0.13082387562861 | 1.3515243530273 | 177147/131072 |
| 18/41 | 526.829268292683 | 0.13215951029150 | 1.3556872458939 | (41√2)^18 |
| 4/9 | 533.333333333333 | 0.13379110918399 | 1.3607900001744 | (9√2)^4 |
| 536.950772365466 | 0.13469857389746 | 1.3636363636364 | 15/11 |
Geses+3 | 2重減5th | -1Q-3T | 539.103857540108 | 0.13523869324811 | 1.3653333333333 | 512/375 |
| 14/31 | 541.935483870968 | 0.13594903029986 | 1.3675683155264 | (31√2)^14 |
| Das Tonwort;se | 24/53 | 543.396226415094 | 0.13631546973463 | 1.3687226991475 | (53√2)^24 |
Fis-3 | -6Q+3T | 547.211136402180 | 0.13727247168203 | 1.3717421124829 | 1000/729 |
| 550cent | 11/24=550/1200 | 550.000000000000 | 0.13797208134599 | 1.3739536474581 | (24√2)^11 |
K | アルプホルン・ファ,第11倍音 | 551.317942364757 | 0.13830269816628 | 1.3750000000000 | 11/8 |
| 19/41 | 556.097560975610 | 0.13950170530770 | 1.3788013669819 | (41√2)^19 |
| Das Tonwort;po | 25/53 | 566.037735849057 | 0.14199528097358 | 1.3867407605205 | (53√2)^25 |
| 9/19 | 568.421052631579 | 0.14259315584083 | 1.3886511426147 | (19√2)~9 |
Fis-2 | -2Q+2T | 568.717425998895 | 0.14266750356873 | 1.3888888888889 | 25/18 |
(Fis-3/2) | Meantone増4th | 579.470570797252 | 0.14536501951209 | 1.3975424859374 | (4√15625)/8 | ｛(4√125)/2｝÷{4(4√5)}/5｝
|
| 15/31 | 580.645161290323 | 0.14565967532128 | 1.3984909984233 | (31√2)^15 |
| 第7次5th(E-1〜i),SubminorFifth | 582.512192604290 | 0.14612803567824 | 1.4000000000000 | 7/5 |
| 20/41 | 585.365853658537 | 0.14684390032389 | 1.4023095779274 | (41√2)^20 |
| 586.845696867145 | 0.14721513131945 | 1.4035087719298 | 80/57 |
Fes,鳧鐘 | Pythagoras減5th | -6Q | 588.269994807676 | 0.14757242832184 | 1.4046639231824 | 1024/729 |
| Das Tonwort;pu | 26/53 | 588.679245283019 | 0.14767509221252 | 1.4049960142305 | (53√2)^26 |
Fis-1 | 純正律増4th,3全音,トライトーン | 2Q+1T | 590.223715595610 | 0.14806253545544 | 1.4062500000000 | 45/32 |
| 591.648013536140 | 0.14841983245782 | 1.4074074074074 | 38/27 |
| ガナッシの減5th | 596.999591364980 | 0.14976232033333 | 1.4117647058824 | 24/17 |
Fis,Ges |
12平均率増4th,減5th,600cent |
| 6/12=5/10=12/24=600/1200 | 600.000000000000 | 0.15051499783199 | 1.4142135623731 | (12√2)^6 |
| 603.000408635020 | 0.15126767533065 | 1.4166666666667 | 17/12 | 608.351986463860 | 0.15261016320616 | 1.4210526315790 | 27/19 |
Ges+1 | 純正律減5th | -2Q-1T | 609.776284404390 | 0.15296746020854 | 1.4222222222222 | 64/45 |
| Das Tonwort;pa | 27/53 | 611.320754716981 | 0.15335490345146 | 1.4234915827113 | (53√2)^27 |
Fis | Pythagoras増4th(Pythagoras3全音) | 6Q | 611.730005192324 | 0.15345756734214 | 1.4238281250000 | 729/512 |
| マルカムの減5th | 613.154303132855 | 0.15381486434453 | 1.4250000000000 | 57/40 |
| 21/41 | 614.634146341463 | 0.15418609534009 | 1.4262185978619 | (41√2)^21 |
| 10/7増4th | 617.487807395710 | 0.15490195998574 | 1.4285714285714 | 10/7 |
| 16/31 | 619.354838709677 | 0.15537032034270 | 1.4301128875731 | (31√2)^16 |
(Ges+5/2) | Meantone減5th | 620.529429202748 | 0.15566497615190 | 1.4310835055999 | 64/√125 |
| 第23倍音 | 628.274347268416 | 0.15760785336167 | 1.4375000000000 | 23/16 |
Ges+2 | 2Q-2T | 631.282574001105 | 0.15836249209525 | 1.4400000000000 | 36/25 |
| 10/19 | 631.578947368421 | 0.15843683982315 | 1.4402465375388 | (19√2)~10 |
| Das Tonwort;pe | 28/53 | 633.962264150943 | 0.15903471469041 | 1.4422306295008 | (53√2)^28 |
| 14/9減5th | 636.617660038536 | 0.15970084286751 | 1.4444444444444 | 13/9 |
| 22/41 | 643.902439024390 | 0.16152829035628 | 1.4505352604762 | (41√2)^22 |
| 648.682057635243 | 0.16272729749770 | 1.4545454545455 | 16/11 |
| 650cent | 13/24=650/1200 | 650.000000000000 | 0.16305791431799 | 1.4556531828422 | (24√2)^13 |
Ges+3 | 6Q-3T | 652.788863597820 | 0.16375752398196 | 1.4580000000000 | 729/500 |
| Das Tonwort;lo | 29/53 | 656.603773584906 | 0.16471452592935 | 1.4612163597825 | (53√2)^29 |
| 17/31 | 658.064516129032 | 0.16508096536412 | 1.4624497930330 | (31√2)^17 |
Fisis-3 | 2重増4th | 1Q+3T | 660.896142459892 | 0.16579130241587 | 1.4648437500000 | 375/256 |
| 5/9 | 666.666666666667 | 0.16723888647999 | 1.4697344922756 | (9√2)^5 |
| 23/41 | 673.170731707317 | 0.16887048537248 | 1.4752665159738 | (41√2)^23 |
Ases | Pythagoras減6th(ウルフの5th) | -11Q | 678.494990480738 | 0.17020612003538 | 1.4798105528177 | 262144/177147 |
| Das Tonwort;lu | 30/53 | 679.245283018868 | 0.17039433716829 | 1.4804520209330 | (53√2)^30 |
G-1 | 狭い5th | -3Q+1T | 680.448711268673 | 0.17069622716898 | 1.4814814814815 | 40/27 |
| 4/7 | 685.714285714286 | 0.17201714037942 | 1.4859942891370 | (7√2)^4 |
| 690.602605766508 | 0.17324341618286 | 1.4901960784314 | 76/51 |
| 691.801106367552 | 0.17354407004180 | 1.4912280701754 | 85/57 |
| マールプルクの5th | 694.134997403838 | 0.17412954604891 | 1.4932397628384 |
| 11/19 | 694.736842105263 | 0.17428052380546 | 1.4937589616545 | (19√2)~11 |
| サリナスの5th | 694.786237666483 | 0.17429291509345 | 1.4938015821857 | (3√2)(3√5)/(3√3) |
(G-1/4) | Meantone5th | 696.578428466209 | 0.17474250108401 | 1.4953487812212 | 4√5 | Pythagoras 5th-(Syntonic comma/4)
|
| 18/31 | 696.774193548387 | 0.17479161038554 | 1.4955178823482 | (31√2)^18 |
| Neidhardt 5th | 698.044999134613 | 0.17511040255230 | 1.4966160644125 | (6√8192)/3 |
| (12平均率5th近似値) | 699.957038671255 | 0.17559005359682 | 1.4982698961938 | 433/289 |
G,Fisis,Ases |
12平均率5th,700cent |
| 7/12=14=24=700/1200 | 700.000000000000 | 0.17560083080399 | 1.4983070768767 | (12√2)^7 |
|
| Das Tonwort;la | 31/53 | 701.886792452830 | 0.17607414840723 | 1.4999409030781 | (53√2)^31 |
G,黄鐘 | Pythagorasperfect5th,純正律perfect5th,第3倍音,ヘミオリア | 1Q | 701.955000865388 | 0.17609125905568 | 1.5000000000000 | 3/2 |
| 24/41 | 702.439024390244 | 0.17621268038867 | 1.5004194330574 | (41√2)^24 |
| 708.730876634758 | 0.17779104393358 | 1.5058823529412 | 128/85 |
| 714.731693904798 | 0.17929639893089 | 1.5111111111111 | 68/45 |
| 3/5=6/10=720/1200 | 720.000000000000 | 0.18061799739839 | 1.5157165665104 | (5√2)^3
|
Ases+2 | (小)減6th | -3Q-2T | 721.507569674168 | 0.18099618380879 | 1.5170370370370 | 1024/675 |
G+1 | 広い5th | 5Q-1T | 723.461290462102 | 0.18148629094239 | 1.5187500000000 | 243/160 |
| Das Tonwort;le | 32/53 | 724.528301886793 | 0.18175395964618 | 1.5196863396552 | (53√2)^32 |
| 729.219092665488 | 0.18293068358599 | 1.5238095238095 | 32/21 |
| 25/41 | 731.707317073171 | 0.18355487540487 | 1.5260012009493 | (41√2)^25 |
| 19/31 | 735.483870967742 | 0.18450225540696 | 1.5293336886355 | (31√2)^19 |
(G+3/2) | 中全音率(大)5th | 737.637286871704 | 0.18504245772382 | 1.5312371519705 | 128/(4√48828125 |
Ases+3 | (大)減6th | 1Q-3T | 743.013859270883 | 0.18639121569549 | 1.5360000000000 | 192/125 |
| Das Tonwort;li | 33/53 | 747.169811320755 | 0.18743377088512 | 1.5396917079834 | (53√2)^33 |
| 750cent | 15/24=750/1200 | 750.000000000000 | 0.18814374728999 | 1.5422108254079 | (24√2)^15 |
Gis-3 | -4Q+3T | 751.121138132955 | 0.18842499412941 | 1.5432098765432 | 125/81 |
| 12/19 | 757.894736842105 | 0.19012420778778 | 1.5492596422667 | (19√2)~12 |
| 26/41 | 760.975609756098 | 0.19089707042106 | 1.5520191314461 | (41√2)^26 |
| アルキュタスの減6th | 764.915904738350 | 0.19188552623891 | 1.5555555555556 | 14/9 |
| Das Tonwort;du | 34/53 | 769.811320754717 | 0.19311358212406 | 1.5599604298416 | (53√2)^34 |
Gis-2 | 純正律(小)増5th,Meantone増5th,第25倍音 | 2T | 772.627427729670 | 0.19382002601611 | 1.5625000000000 | 25/16 |
| 20/31 | 774.193548387097 | 0.19421290042838 | 1.5639141188489 | (31√2)^20 |
| 779.403303499040 | 0.19551981089401 | 1.5686274509804 | 80/51 |
| 11/7(Ptolemaios 6th) | 782.492035895632 | 0.19629464514397 | 1.5714285714286 | 11/7 |
| 785.404120769080 | 0.19702516589132 | 1.5740740740741 | 85/54 |
| 27/41 | 790.243902439025 | 0.19823926543726 | 1.5784806610089 | (41√2)^27 |
| 790.755698597920 | 0.19836765376683 | 1.5789473684211 | 30/19 |
A,鸞鐘 | Pythagorasmin.6th | -4Q | 792.179996538450 | 0.19872495076922 | 1.5802469135803 | 128/81 |
| Das Tonwort;da | 35/53 | 792.452830188679 | 0.19879339336301 | 1.5804959720532 | (53√2)^35 |
Gis-1 | 純正律(大)増5th(F〜Cis-1) | 4Q+1T | 794.133717326385 | 0.19921505790282 | 1.5820312500000 | 405/256 |
| 795.558015266915 | 0.19957235490520 | 1.5833333333333 | 19/12 |
| (12平均率min.6th近似値) | 799.891519529770 | 0.20065945054642 | 1.5873015873016 | 100/63 |
Gis,As |
12平均率増5th,min.6th,800cent |
| 8/12=16/24=6/9=800/1200 | 800.000000000000 | 0.20068666377599 | 1.5874010519682 | (12√2)^8 |
| 800.909593095755 | 0.20091484278071 | 1.5882352941177 | 27/17 | 806.910410365795 | 0.20242019777803 | 1.5937500000000 | 51/32 |
| 21/31 | 812.903225806452 | 0.20392354544979 | 1.5992764622332 | (31√2)^21 |
As+1 | 純正律min.6th,Meantonemin.6th,第1/5倍音 | 813.686286135165 | 0.20411998265593 | 1.6000000000000 | 8/5 |
| Das Tonwort;de | 36/53 | 815.094339622642 | 0.20447320460195 | 1.6013018470796 | (53√2)^36 |
Gis,As | Pythagoras増5th | 8Q | 815.640006923099 | 0.20461008978953 | 1.6018066406250 | 6561/4096 |
| 28/41 | 819.512195121951 | 0.20558146045345 | 1.6053933528883 | (41√2)^28 |
| 13/19 | 821.052631578947 | 0.20596789177009 | 1.6068224531338 | (19√2)~13 |
As+2 | 4Q-2T | 835.192575731880 | 0.20951501454263 | 1.6200000000000 | 81/50 |
| Das Tonwort;di | 37/53 | 837.735849056604 | 0.21015301584089 | 1.6223816136206 | (53√2)^37 |
| 7/10 | 840.000000000000 | 0.21072099696479 | 1.6245047927125 | (10√2)^7 |
| 第13倍音 | 840.527661769311 | 0.21085336531489 | 1.6250000000000 | 13/8 |
| 29/41 | 848.780487804878 | 0.21292365546965 | 1.6327648992866 | (41√2)^29 |
| 850cent | 17/24=850/1200 | 850.000000000000 | 0.21322958026199 | 1.6339154532411 | (24√2)^17 |
| 22/31 | 851.612903225806 | 0.21363419047121 | 1.6354383989676 | (31√2)^22 |
| ザルザルの中立6th | 852.592059366018 | 0.21387981994508 | 1.6363636363636 | 18/11 |
| 5/7 | 857.142857142857 | 0.21502142547427 | 1.6406707120153 | (7√2)^5 |
| Das Tonwort;fu | 38/53 | 860.377358490566 | 0.21583282707984 | 1.6437388772233 | (53√2)^38 |
A-2 | -5Q+2T | 862.852423402733 | 0.21645371772965 | 1.6460905349794 | 400/243 |
Gisis-3 | 2重増5th | 3Q+3T | 864.806144190667 | 0.21694382486325 | 1.6479492187500 | 3375/2048 | 30/41 | 878.048780487805 | 0.22026585048584 | 1.6606031235559 | (41√2)^30 |
Heses | Pythagoras減7th | -9T | 882.404992211513 | 0.22135864248276 | 1.6647868719199 | 32768/19683 |
| Das Tonwort;fa | 39/53 | 883.018867924528 | 0.22151263831878 | 1.6653772908987 | (53√2)^39 |
| 14/19 | 884.210526315789 | 0.22181157575241 | 1.6665240127971 | (19√2)~14 |
A-1 | 純正律長6th | -1Q+1T | 884.358712999448 | 0.22184874961636 | 1.6666666666667 | 5/3 |
(A-3/4) | Meantone長6th | 889.735285398626 | 0.22319750758803 | 1.6718507624411 | (4√125)/2 |
| 23/31 | 890.322580645161 | 0.22334483549263 | 1.6724180090057 | (31√2)^23 |
| 894.512607497283 | 0.22439593863024 | 1.6764705882353 | 57/34 |
A,Gisis,Heses |
12平均率長6th,減7th,900cent |
| 9/12=18/24=900/1200 | 900.000000000000 | 0.22577249674799 | 1.6817928305074 | (12√2)^9 |
|
| (12平均率長6th近似値) | 900.026096389983 | 0.22577904324479 | 1.6818181818182 | 37/22 |
| 902.486983867697 | 0.22639637736708 | 1.6842105263158 | 32/19 |
Heses+1 | -5Q-1T | 903.911281808228 | 0.22675367436946 | 1.6855967078189 | 2048/1215 |
| Das Tonwort;fe | 40/53 | 905.660377358491 | 0.22719244955772 | 1.6873005557465 | (53√2)^40 |
A,盤渉 | Pythagoras長6th,第27倍音 | 3Q | 905.865002596162 | 0.22724378150306 | 1.6875000000000 | 27/16 |
| 907.289300536693 | 0.22760107850545 | 1.6888888888889 | 76/45 |
| 31/41 | 907.317073170732 | 0.22760804550204 | 1.6889159824349 | (41√2)^31 |
| ガナッシの長6th | 912.640878365533 | 0.22894356638096 | 1.6941176470588 | 144/85 |
| マルカムの長6th | 918.641695635573 | 0.23044892137827 | 1.7000000000000 | 17/10 |
Heses+2 | 純正律減7th | -1Q-2T | 925.417571404943 | 0.23214870625617 | 1.7066666666667 | 128/75 |
| Das Tonwort;fi | 41/53 | 928.301886792453 | 0.23287226079667 | 1.7095124215884 | (53√2)^41 |
| 24/31 | 929.032258064516 | 0.23305548051405 | 1.7102337811147 | (31√2)^24 |
| 12/7(スレンドロより) | 933.129094396262 | 0.23408320603337 | 1.7142857142857 | 12/7 |
| 7/9 | 933.333333333333 | 0.23413444107199 | 1.7144879657062 | (9√2)^7 |
| 32/41 | 936.585365853659 | 0.23495024051823 | 1.7177115683221 | (41√2)^32 |
Heses+3 | 3Q-3T | 946.923861001658 | 0.23754373814288 | 1.7280000000000 | 216/125 |
| 15/19 | 947.368421052632 | 0.23765525973472 | 1.7284437865632 | (19√2)~15 |
| 950cent | 19/24=950/1200 | 950.000000000000 | 0.23831541323399 | 1.7310731220123 | (24√2)^19 |
| Das Tonwort;fo | 42/53 | 950.943396226415 | 0.23855207203561 | 1.7320166876091 | (53√2)^42 |
Ais-3 | -2Q+3T | 955.031139863730 | 0.23957751657679 | 1.7361111111111 | 125/72 |
| 4/5=8/10=960/1200 | 960.000000000000 | 0.24082399653119 | 1.7411011265923 | (5√2)^4
|
| 33/41 | 965.853658536586 | 0.24229243553442 | 1.7469981115899 | (41√2)^33 |
| 25/31 | 967.741935483871 | 0.24276612553547 | 1.7489046221195 | (31√2)^25 |
.i |
自然(和声的)min.7th,第7倍音,SubminorSeventh | 968.825906469125 | 0.24303804868629 | 1.7500000000000 | 7/4 |
| Das Tonwort;ka | 43/53 | 973.584905660377 | 0.24423188327455 | 1.7548172030063 | (53√2)^43 |
B-1 | -6Q+1T | 974.583708672510 | 0.24448244132989 | 1.7558299039781 | 1280/729 | Ais-2 純正律増6th | 2Q+2T | 976.537429460445 | 0.24497254846349 | 1.7578125000000 | 225/128 | 989.314122499855 | 0.24817768833871 | 1.7708333333333 | 85/48 |
| 34/41 | 995.121951219512 | 0.24963463055062 | 1.7767839829360 | (41√2)^34 |
B,神仙 | Pythagorasmin.7th,純正律min.7th(D〜C),第1/9倍音 | -2Q | 996.089998269225 | 0.24987747321660 | 1.7777777777778 | 16/9 |
| Das Tonwort;ke | 44/53 | 996.226415094340 | 0.24991169451349 | 1.7779178676492 | (53√2)^44 |
Ais,B |
12平均率増6th,min.7th,1000cent |
| 10/12=20/24=1000/1200 | 1000.000000000000 | 0.25085832971998 | 1.7817974362807 | (12√2)^10 |
|
| (12平均率min.7th近似値) | 1000.020156708660 | 0.25086338619825 | 1.7818181818182 | 98/55 |
| 1006.243892767060 | 0.25242466223048 | 1.7882352941177 | 152/85 | 26/31 | 1006.451612903230 | 0.25247677055689 | 1.7884498663553 | (31√2)^26 |
(B+1/2) | Meantonemin.7th | 1006.843143067580 | 0.25257498915995 | 1.7888543819998 | 4/√5 |
| 1007.442393368100 | 0.25272531608943 | 1.7894736842105 | 34/19 |
| 16/19 | 1010.526315789470 | 0.25349894371704 | 1.7926641922757 | (19√2)~16 |
B+1 | 純正律min.7th(E-1〜D) | 2Q-1T | 1017.596287865940 | 0.25527250510331 | 1.8000000000000 | 9/5 |
| Das Tonwort;ki | 45/53 | 1018.867924528300 | 0.25559150575244 | 1.8013226327455 | (53√2)^45 |
Ais | Pythagoras増6th | 10Q | 1019.550008653870 | 0.25576261223691 | 1.8020324707031 | 59049/32768 |
| 35/41 | 1024.390243902440 | 0.25697682556681 | 1.8070776957766 | (41√2)^35 |
| 6/7 | 1028.571428571430 | 0.25802571056913 | 1.8114473285278 | (7√2)^6 |
| 第29倍音 | 1029.577194153090 | 0.25827801524303 | 1.8125000000000 | 29/16 |
| 1034.995771500080 | 0.25963731050576 | 1.8181818181818 | 20/11 |
Ceses'+3 | 2重減8th | -2Q-3T | 1037.148856674720 | 0.26017742985641 | 1.8204444444444 | 2048/1125 |
B+2 | 6Q-2T | 1039.102577462650 | 0.26066753699001 | 1.8225000000000 | 729/400 |
| Das Tonwort;ko | 46/53 | 1041.509433962260 | 0.26127131699138 | 1.8250355015170 | (53√2)^46 |
| 27/31 | 1045.161290322580 | 0.26218741557831 | 1.8288892853345 | (31√2)^27 |
| 11/6(Ptolemaios7th) | 1049.362941499370 | 0.26324143477458 | 1.8333333333333 | 11/6 |
| 1050cent | 21/24=1050/1200 | 1050.000000000000 | 0.26340124620598 | 1.8340080864093 | (24√2)^21 |
| 36/41 | 1053.658536585370 | 0.26431902058301 | 1.8378879086793 | (41√2)^36 |
| Das Tonwort;na | 47/53 | 1064.150943396230 | 0.26695112823032 | 1.8490605298845 | (53√2)^47 |
| 8/9 | 1066.666666666670 | 0.26758221836798 | 1.8517494245746 | (9√2)^8 |
H-2 | (小)長7th | -3Q+2T | 1066.762425133510 | 0.26760624017703 | 1.8518518518519 | 50/27 |
| 13/7長7th | 1071.701755300190 | 0.26884531229258 | 1.8571428571429 | 13/7 |
| 17/19 | 1073.684210526320 | 0.26934262769935 | 1.8592707100168 | (19√2)~17 |
| 9/10 | 1080.000000000000 | 0.27092699609758 | 1.8660659830736 | (10√2)^9 |
(H-5/4) | Meantone長7th | 1082.892142331040 | 0.27165251409206 | 1.8691859765265 | (4√3125)/4 |
| 37/41 | 1082.926829268290 | 0.27166121559920 | 1.8692234278384 | (41√2)^37 |
| 28/31 | 1083.870967741940 | 0.27189806059973 | 1.8702430976317 | (31√2)^28 |
Ces',上無 | Pythagoras減8th | -7Q | 1086.314993942290 | 0.27251116493014 | 1.8728852309099 | 4096/2187 |
| Das Tonwort;ne | 48/53 | 1086.792452830190 | 0.27263093946927 | 1.8734018271616 | (53√2)^48 |
H-1 | 純正律(大)長7th,第15倍音 | 1Q+1T | 1088.268714730220 | 0.27300127206374 | 1.8750000000000 | 15/8 |
| 1095.044590499590 | 0.27470105694163 | 1.8823529411765 | 32/17 |
| (12平均率長7th近似値) | 1099.900790174840 | 0.27591927508095 | 1.8876404494382 | 168/89 |
H,Aisis,Ces' |
12平均率長7th,1100cent |
| 11/12=22/24=1100/1200 | 1100.000000000000 | 0.27594416269198 | 1.8877486253634 | (12√2)^11 | 17/9長7th | 1101.045407769630 | 0.27620641193895 | 1.8888888888889 | 17/9 | ガナッシの長7th | 1106.396985598470 | 0.27754889981446 | 1.8947368421053 | 36/19 |
Ces'+1 | 純正律(小)減8th(Cis-1〜C) | -3Q-1T | 1107.821283539000 | 0.27790619681684 | 1.8962962962963 | 256/135 |
| Das Tonwort;ni | 49/53 | 1109.433962264150 | 0.27831075070821 | 1.8980635567575 | (53√2)^49 |
H | Pythagoras長7th | 5Q | 1109.775004326940 | 0.27839630395044 | 1.8984375000000 | 243/128 |
| マルカムの長7th | 1111.199302267470 | 0.27875360095283 | 1.9000000000000 | 19/10 |
| 38/41 | 1112.195121951220 | 0.27900341061540 | 1.9010932095910 | (41√2)^38 |
| 1115.532806530320 | 0.27984069659404 | 1.9047619047619 | 40/21 |
| 29/31 | 1122.580645161290 | 0.28160870562114 | 1.9125319789925 | (31√2)^29 |
Ces'+2 | 純正律(大)減8th(Cis-2〜C) | 1Q-2T | 1129.327573135720 | 0.28330122870355 | 1.9200000000000 | 48/25 |
| Das Tonwort;no | 50/53 | 1132.075471698110 | 0.28399056194715 | 1.9230499368891 | (53√2)^50 |
| 18/19 | 1136.842105263160 | 0.28518631168167 | 1.9283519958850 | (19√2)~18 |
| 39/41 | 1141.463414634150 | 0.28634560563159 | 1.9335063629781 | (41√2)^39 |
| 第31倍音 | 1145.035572464250 | 0.28724171117835 | 1.9375000000000 | 31/16 |
| 1146.727056769860 | 0.28766603410600 | 1.9393939393939 | 64/33 |
| 1150cent | 23/24=1150/1200 | 1150.000000000000 | 0.28848707917798 | 1.9430638823072 | (24√2)^23 |
Ces'+3 | 5Q-3T | 1150.833862732430 | 0.28869626059026 | 1.9440000000000 | 243/125 |
| Das Tonwort;ba | 51/53 | 1154.716981132080 | 0.28967037318610 | 1.9483652413023 | (53√2)^51 |
His-3 | 3T | 1158.941141594500 | 0.29073003902417 | 1.9531250000000 | 125/64 |
| 30/31 | 1161.290322580650 | 0.29131935064256 | 1.9557770726709 | (31√2)^30 |
| 40/41 | 1170.731707317070 | 0.29368780064779 | 1.9664721523470 | (41√2)^40 |
Deses' | Pythagoras減9th | -12Q | 1176.539989615350 | 0.29514485664368 | 1.9730807370903 | 1048576/531441 |
| Das Tonwort;be | 52/53 | 1177.358490566040 | 0.29535018442504 | 1.9740138000036 | (53√2)^52 |
C'-1 | -4Q+1T | 1178.493710403290 | 0.29563496377728 | 1.9753086419753 | 160/81 |
His-2 | 4Q+2T | 1180.447431191220 | 0.29612507091088 | 1.9775390625000 | 2025/1024 |
C',壱越 | perfect8th,octave,第2倍音 | 0Q+0T | 1200.000000000000 | 0.30102999566398 | 2.0000000000000 | 2/1 | |
