159edo/Interval names and harmonies: Difference between revisions

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All intervals now have names and descriptions... Now for the next task...
Aura (talk | contribs)
Deleted reduplicated information
Line 1: Line 1:
[[159edo]] contains all the intervals of [[53edo]], however, as some of the interpretations differ due 159edo having different mappings for certain primes, those differences show up in how harmonies are constructed.  It should be noted that since 159edo does a better job of representing the 2.3.11 subgroup than [[24edo]], some of the chords listed on the page for [[24edo interval names and harmonies]] carry over to this page, even though the exact sets of enharmonics differ between the two systems.
[[159edo]] contains all the intervals of [[53edo]], however, as some of the interpretations differ due 159edo having different mappings for certain primes, those differences show up in how harmonies are constructed.  It should be noted that since 159edo does a better job of representing the 2.3.11 subgroup than [[24edo]], some of the chords listed on the page for [[24edo interval names and harmonies]] carry over to this page, even though the exact sets of enharmonics differ between the two systems.
== Interval chart ==


{| class="mw-collapsible mw-collapsed wikitable center-1"
{| class="mw-collapsible mw-collapsed wikitable center-1"
Line 6: Line 8:
! Step
! Step
! Cents
! Cents
! 5 limit
! 7 limit
! 11 limit
! 13 limit
! 17 limit
! colspan="3"| Interval Names
! colspan="3"| Interval Names
! Notes
! Notes
Line 16: Line 13:
| 0
| 0
| 0
| 0
| colspan="5"| '''[[1/1]]'''
| P1
| P1
| Perfect Unison
| Perfect Unison
Line 29: Line 25:
| 1
| 1
| 7.5471698
| 7.5471698
|
| [[225/224]]
| [[243/242]]
| [[196/195]], [[351/350]]
| 256/255
| R1
| R1
| Wide Prime
| Wide Prime
Line 48: Line 39:
| 2
| 2
| 15.0943396
| 15.0943396
|
| ?
| [[121/120]], [[100/99]]
| [[144/143]]
| 120/119
| rK1
| rK1
| Narrow Superprime
| Narrow Superprime
Line 63: Line 49:
| 3
| 3
| 22.6415094
| 22.6415094
| [[81/80]]
| ?
| ?
| [[78/77]]
| 85/84
| K1
| K1
| Lesser Superprime
| Lesser Superprime
Line 84: Line 65:
| 4
| 4
| 30.1886792
| 30.1886792
|
| [[64/63]]
| [[56/55]], [[55/54]]
| ?
| [[52/51]]
| S1, kU1
| S1, kU1
| Greater Superprime, Narrow Inframinor Second
| Greater Superprime, Narrow Inframinor Second
Line 109: Line 85:
| 5
| 5
| 37.7358491
| 37.7358491
|
| ?
| [[45/44]]
| ?
| [[51/50]]
| um2, RkU1
| um2, RkU1
| Inframinor Second, Wide Superprime
| Inframinor Second, Wide Superprime
Line 133: Line 104:
| 6
| 6
| 45.2830189
| 45.2830189
| ?
| ?
| ?
| [[40/39]]
| 192/187
| kkm2, Rum2, rU1
| kkm2, Rum2, rU1
| Wide Inframinor Second, Narrow Ultraprime
| Wide Inframinor Second, Narrow Ultraprime
Line 155: Line 121:
| 7
| 7
| 52.8301887
| 52.8301887
|
| ?
| [[33/32]]
| ?
| [[34/33]]
| U1, rKum2
| U1, rKum2
| Ultraprime, Narrow Subminor Second
| Ultraprime, Narrow Subminor Second
Line 179: Line 140:
| 8
| 8
| 60.3773585
| 60.3773585
|
| [[28/27]]
| ?
| ?
| 88/85
| sm2, Kum2, uA1
| sm2, Kum2, uA1
| Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime
| Lesser Subminor Second, Wide Ultraprime, Infra-Augmented Prime
Line 199: Line 155:
| 9
| 9
| 67.9245283
| 67.9245283
| [[25/24]]
| ?
| ?
| [[26/25]], [[27/26]]
| ?
| km2, RuA1, kkA1
| km2, RuA1, kkA1
| Greater Subminor Second, Diptolemaic Augmented Prime
| Greater Subminor Second, Diptolemaic Augmented Prime
Line 217: Line 168:
| 10
| 10
| 75.4716981
| 75.4716981
|
| ?
| ?
| ?
| 160/153
| Rkm2, rKuA1
| Rkm2, rKuA1
| Wide Subminor Second, Lesser Sub-Augmented Prime
| Wide Subminor Second, Lesser Sub-Augmented Prime
Line 236: Line 182:
| 11
| 11
| 83.0188679
| 83.0188679
|
| [[21/20]]
| [[22/21]]
| ?
| ?
| rm2, KuA1
| rm2, KuA1
| Narrow Minor Second, Greater Sub-Augmented Prime
| Narrow Minor Second, Greater Sub-Augmented Prime
Line 253: Line 194:
| 12
| 12
| 90.5660377
| 90.5660377
| [[256/243]], [[135/128]]
| ?
| ?
| ?
| ?
| m2, kA1
| m2, kA1
| Pythagorean Minor Second, Ptolemaic Augmented Prime
| Pythagorean Minor Second, Ptolemaic Augmented Prime
Line 277: Line 213:
| 13
| 13
| 98.1132075
| 98.1132075
|
| ?
| [[128/121]]
| [[55/52]]
| [[18/17]]
| Rm2, RkA1
| Rm2, RkA1
| Artomean Minor Second, Artomean Augmented Prime  
| Artomean Minor Second, Artomean Augmented Prime  
Line 296: Line 227:
| 14
| 14
| 105.6603774
| 105.6603774
|
| ?
| ?
| ?
| '''[[17/16]]'''
| rKm2, rA1
| rKm2, rA1
| Tendomean Minor Second, Tendomean Augmented Prime  
| Tendomean Minor Second, Tendomean Augmented Prime  
Line 315: Line 241:
| 15
| 15
| 113.2075472
| 113.2075472
| [[16/15]]
| ?
| ?
| ?
| ?
| Km2, A1
| Km2, A1
| Ptolemaic Minor Second, Pythagorean Augmented Prime
| Ptolemaic Minor Second, Pythagorean Augmented Prime
Line 339: Line 260:
| 16
| 16
| 120.7547170
| 120.7547170
|
| [[15/14]]
| 275/256
| ?
| ?
| RKm2, kn2, RA1
| RKm2, kn2, RA1
| Wide Minor Second, Artoretromean Augmented Prime
| Wide Minor Second, Artoretromean Augmented Prime
Line 356: Line 272:
| 17
| 17
| 128.3018868
| 128.3018868
|
| ?
| ?
| [[14/13]]
| 128/119
| kN2, rKA1
| kN2, rKA1
| Lesser Supraminor Second, Tendoretromean Augmented Prime
| Lesser Supraminor Second, Tendoretromean Augmented Prime
Line 375: Line 286:
| 18
| 18
| 135.8490566
| 135.8490566
| [[27/25]]
| ?
| ?
| [[13/12]]
| ?
| KKm2, rn2, KA1
| KKm2, rn2, KA1
| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime
| Greater Supraminor Second, Diptolemaic Limma, Retroptolemaic Augmented Prime
Line 393: Line 299:
| 19
| 19
| 143.3962264
| 143.3962264
|
| ?
| [[88/81]]
| ?
| ?
| n2, SA1
| n2, SA1
| Artoneutral Second, Lesser Super-Augmented Prime
| Artoneutral Second, Lesser Super-Augmented Prime
Line 415: Line 316:
| 20
| 20
| 150.9433962
| 150.9433962
|
| ?
| [[12/11]]
| ?
| ?
| N2, RkUA1
| N2, RkUA1
| Tendoneutral Second, Greater Super-Augmented Prime
| Tendoneutral Second, Greater Super-Augmented Prime
Line 436: Line 332:
|-
|-
| 21
| 21
| 158.4905660
| ?
| ?
| ?
| [[128/117]]
| 561/512, 1024/935
| 561/512, 1024/935
| kkM2, RN2, rUA1
| kkM2, RN2, rUA1
Line 453: Line 344:
| 22
| 22
| 166.0377358
| 166.0377358
|
| Kn2, UA1
| ?
| Greater Submajor Second, Ultra-Augmented Prime
| [[11/10]]
| ?
| ?
| Kn2, UA1
| Greater Submajor Second, Ultra-Augmented Prime
| Ed<↑, Dt#<, Fb↓/
| Ed<↑, Dt#<, Fb↓/
| This interval…
| This interval…
Line 472: Line 358:
| 23
| 23
| 173.5849057
| 173.5849057
|
| 567/512
| 243/220
| ?
| 425/384
| rkM2, KN2
| rkM2, KN2
| Narrow Major Second
| Narrow Major Second
Line 488: Line 369:
| 24
| 24
| 181.1320755
| 181.1320755
| [[10/9]]
| ?
| 256/231
| ?
| ?
| kM2
| kM2
| Ptolemaic Major Second
| Ptolemaic Major Second
Line 510: Line 386:
| 25
| 25
| 188.6792458
| 188.6792458
|
| ?
| ?
| [[143/128]]
| 512/459
| RkM2
| RkM2
| Artomean Major Second
| Artomean Major Second
Line 527: Line 398:
| 26
| 26
| 196.2264151
| 196.2264151
|
| [[28/25]]
| [[121/108]]
| ?
| ?
| rM2
| rM2
| Tendomean Major Second
| Tendomean Major Second
Line 544: Line 410:
| 27
| 27
| 203.7735849
| 203.7735849
| [[9/8]]
| ?
| ?
| ?
| ?
| M2
| M2
| Pythagorean Major Second
| Pythagorean Major Second
Line 567: Line 428:
| 28
| 28
| 211.3207547
| 211.3207547
|
| ?
| ?
| [[44/39]]
| 289/256
| RM2
| RM2
| Wide Major Second
| Wide Major Second
Line 584: Line 440:
| 29
| 29
| 218.8679245
| 218.8679245
|
| ?
| [[25/22]]
| ?
| [[17/15]]
| rKM2
| rKM2
| Narrow Supermajor Second
| Narrow Supermajor Second
Line 604: Line 455:
| 30
| 30
| 226.4150943
| 226.4150943
| [[256/225]]
| ?
| [[154/135]]
| ?
| ?
| KM2
| KM2
| Lesser Supermajor Second
| Lesser Supermajor Second
Line 623: Line 469:
| 31
| 31
| 233.9622642
| 233.9622642
|
| '''[[8/7]]'''
| [[55/48]]
| ?
| ?
| SM2, kUM2
| SM2, kUM2
| Greater Supermajor Second, Narrow Inframinor Third
| Greater Supermajor Second, Narrow Inframinor Third
Line 644: Line 485:
| 32
| 32
| 241.5094340
| 241.5094340
|
| um3, RkUM2
| ?
| 1024/891
| ?
| ?
| um3, RkUM2
| Inframinor Third, Wide Supermajor Second
| Inframinor Third, Wide Supermajor Second
| Fd>, Et>↓
| Fd>, Et>↓
Line 662: Line 498:
| 33
| 33
| 249.0566038
| 249.0566038
| ?
| ?
| ?
| [[15/13]]
| ?
| kkm3, KKM2, Rum3, rUM2
| kkm3, KKM2, Rum3, rUM2
| Wide Inframinor Third, Narrow Ultramajor Second, Semifourth
| Wide Inframinor Third, Narrow Ultramajor Second, Semifourth
Line 681: Line 512:
| 34
| 34
| 256.6037736
| 256.6037736
|
| ?
| 297/256
| ?
| ?
| UM2, rKum3
| UM2, rKum3
| Ultramajor Second, Narrow Subminor Third
| Ultramajor Second, Narrow Subminor Third
Line 698: Line 524:
| 35
| 35
| 264.1509434
| 264.1509434
|
| [[7/6]]
| [[64/55]]
| ?
| ?
| sm3, Kum3
| sm3, Kum3
| Lesser Subminor Third, Wide Ultramajor Second
| Lesser Subminor Third, Wide Ultramajor Second
Line 718: Line 539:
| 36
| 36
| 271.6981132
| 271.6981132
| [[75/64]]
| ?
| ?
| 117/100
| ?
| km3
| km3
| Greater Subminor Third
| Greater Subminor Third
Line 738: Line 554:
| 37
| 37
| 279.2452830
| 279.2452830
|
| ?
| ?
| ?
| [[20/17]]
| Rkm3
| Rkm3
| Wide Subminor Third
| Wide Subminor Third
Line 755: Line 566:
| 38
| 38
| 286.7924528
| 286.7924528
|
| ?
| [[33/28]]
| [[13/11]]
| 85/72
| rm3
| rm3
| Narrow Minor Third
| Narrow Minor Third
Line 773: Line 579:
| 39
| 39
| 294.3396226
| 294.3396226
| [[32/27]]
| ?
| ?
| ?
| ?
| m3
| m3
| Pythagorean Minor Third
| Pythagorean Minor Third
Line 793: Line 594:
| 40
| 40
| 301.8867925
| 301.8867925
|
| [[25/21]]
| 144/121
| ?
| ?
| Rm3
| Rm3
| Artomean Minor Third
| Artomean Minor Third
Line 810: Line 606:
| 41
| 41
| 309.4339622
| 309.4339622
|
| rKm3
| ?
| ?
| 512/429
| [[153/128]]
| rKm3
| Tendomean Minor Third  
| Tendomean Minor Third  
| F↑\
| F↑\
Line 829: Line 620:
| 42
| 42
| 316.9811321
| 316.9811321
| [[6/5]]
| ?
| [[77/64]]
| ?
| ?
| Km3
| Km3
| Ptolemaic Minor Third
| Ptolemaic Minor Third
Line 850: Line 636:
| 43
| 43
| 324.5283019
| 324.5283019
|
| [[135/112]]
| ?
| ?
| 512/425
| RKm3, kn3
| RKm3, kn3
| Wide Minor Third
| Wide Minor Third
Line 868: Line 649:
| 44
| 44
| 332.0754717
| 332.0754717
|
| ?
| [[40/33]], [[121/100]]
| ?
| 144/119, 165/136
| kN3, ud4
| kN3, ud4
| Lesser Supraminor Third, Infra-Diminished Fourth
| Lesser Supraminor Third, Infra-Diminished Fourth
Line 884: Line 660:
| 45
| 45
| 339.6226415
| 339.6226415
| ?
| ?
| ?
| [[39/32]]
| [[17/14]]
| KKm3, rn3, Rud4
| KKm3, rn3, Rud4
| Greater Supraminor Third, Diretroptolemaic Diminished Fourth
| Greater Supraminor Third, Diretroptolemaic Diminished Fourth
Line 904: Line 675:
| 46
| 46
| 347.1698113
| 347.1698113
|
| ?
| [[11/9]]
| ?
| ?
| n3, rKud4
| n3, rKud4
| Artoneutral Third, Lesser Sub-Diminished Fourth
| Artoneutral Third, Lesser Sub-Diminished Fourth
Line 927: Line 693:
| 47
| 47
| 354.7169811
| 354.7169811
|
| ?
| [[27/22]]
| ?
| ?
| N3, sd4, Kud4
| N3, sd4, Kud4
| Tendoneutral Third, Greater Sub-Diminished Fourth
| Tendoneutral Third, Greater Sub-Diminished Fourth
Line 947: Line 708:
| 48
| 48
| 362.2641509
| 362.2641509
| ?
| ?
| ?
| '''[[16/13]]'''
| [[21/17]]
| kkM3, RN3, kd4
| kkM3, RN3, kd4
| Lesser Submajor Third, Retroptolemaic Diminished Fourth
| Lesser Submajor Third, Retroptolemaic Diminished Fourth
Line 965: Line 721:
| 49
| 49
| 369.8113208
| 369.8113208
|
| ?
| ?
| [[26/21]]
| 68/55
| Kn3, Rkd4
| Kn3, Rkd4
| Greater Submajor Third, Artoretromean Diminished Fourth
| Greater Submajor Third, Artoretromean Diminished Fourth
Line 982: Line 733:
| 50
| 50
| 377.3584906
| 377.3584906
|
| [[56/45]]
| 1024/825
| ?
| ?
| rkM3, KN3, rd4
| rkM3, KN3, rd4
| Narrow Major Third, Tendoretromean Diminished Fourth
| Narrow Major Third, Tendoretromean Diminished Fourth
Line 1,001: Line 747:
| 51
| 51
| 384.9056604
| 384.9056604
| '''[[5/4]]'''
| ?
| [[96/77]]
| ?
| ?
| kM3, d4
| kM3, d4
| Ptolemaic Major Third, Pythagorean Diminished Fourth
| Ptolemaic Major Third, Pythagorean Diminished Fourth
Line 1,025: Line 766:
| 52
| 52
| 392.4528302
| 392.4528302
|
| ?
| ?
| ?
| [[64/51]]
| RkM3, Rd4
| RkM3, Rd4
| Artomean Major Third, Artomean Diminished Fourth
| Artomean Major Third, Artomean Diminished Fourth
Line 1,040: Line 776:
| 53
| 53
| 400
| 400
|
| [[63/50]]
| [[121/96]]
| ?
| [[34/27]]
| rM3, rKd4
| rM3, rKd4
| Tendomean Major Third, Tendomean Diminished Fourth
| Tendomean Major Third, Tendomean Diminished Fourth
Line 1,059: Line 790:
| 54
| 54
| 407.5471698
| 407.5471698
| [[81/64]]
| ?
| ?
| ?
| ?
| M3, Kd4
| M3, Kd4
| Pythagorean Major Third, Ptolemaic Diminished Fourth
| Pythagorean Major Third, Ptolemaic Diminished Fourth
Line 1,081: Line 807:
| 55
| 55
| 415.0943396
| 415.0943396
|
| ?
| [[14/11]]
| [[33/26]]
| 108/85
| RM3, kUd4
| RM3, kUd4
| Wide Major Third, Lesser Super-Diminished Fourth
| Wide Major Third, Lesser Super-Diminished Fourth
Line 1,100: Line 821:
| 56
| 56
| 422.6415094
| 422.6415094
|
| ?
| ?
| 143/112
| [[51/40]]
| rKM3, RkUd4
| rKM3, RkUd4
| Narrow Supermajor Third, Greater Super-Diminished Fourth
| Narrow Supermajor Third, Greater Super-Diminished Fourth
Line 1,117: Line 833:
| 57
| 57
| 430.1886792
| 430.1886792
| [[32/25]]
| ?
| ?
| ?
| ?
| KM3, rUd4, KKd4
| KM3, rUd4, KKd4
| Lesser Supermajor Third, Diptolemaic Diminished Fourth
| Lesser Supermajor Third, Diptolemaic Diminished Fourth
Line 1,134: Line 845:
| 58
| 58
| 437.7358491
| 437.7358491
|
| [[9/7]]
| [[165/128]]
| ?
| ?
| SM3, kUM3, rm4, Ud4
| SM3, kUM3, rm4, Ud4
| Greater Supermajor Third, Ultra-Diminished Fourth
| Greater Supermajor Third, Ultra-Diminished Fourth
Line 1,152: Line 858:
| 59
| 59
| 445.2830189
| 445.2830189
|
| ?
| [[128/99]]
| ?
| [[22/17]]
| m4, RkUM3
| m4, RkUM3
| Paraminor Fourth, Wide Supermajor Third
| Paraminor Fourth, Wide Supermajor Third
Line 1,173: Line 874:
| 60
| 60
| 452.8301887
| 452.8301887
| ?
| ?
| ?
| [[13/10]]
| ?
| Rm4, KKM3, rUM3
| Rm4, KKM3, rUM3
| Wide Paraminor Fourth, Narrow Ultramajor Third
| Wide Paraminor Fourth, Narrow Ultramajor Third
Line 1,189: Line 885:
| 61
| 61
| 460.3773585
| 460.3773585
|
| ?
| 176/135
| ?
| ?
| UM3, rKm4
| UM3, rKm4
| Ultramajor Third, Narrow Grave Fourth
| Ultramajor Third, Narrow Grave Fourth
Line 1,207: Line 898:
| 62
| 62
| 467.9245283
| 467.9245283
|
| [[21/16]]
| [[55/42]], [[72/55]]
| ?
| [[17/13]]
| s4, Km4
| s4, Km4
| Lesser Grave Fourth, Wide Ultramajor Third
| Lesser Grave Fourth, Wide Ultramajor Third
Line 1,224: Line 910:
| 63
| 63
| 475.4716981
| 475.4716981
| 320/243, 675/512
| ?
| ?
| ?
| ?
| k4
| k4
| Greater Grave Fourth
| Greater Grave Fourth
Line 1,239: Line 920:
| 64
| 64
| 483.0188679
| 483.0188679
|
| ?
| [[33/25]]
| ?
| [[45/34]]
| Rk4
| Rk4
| Wide Grave Fourth
| Wide Grave Fourth
Line 1,255: Line 931:
| 65
| 65
| 490.5660377
| 490.5660377
|
| ?
| ?
| ?
| [[85/64]]
| r4
| r4
| Narrow Fourth
| Narrow Fourth
Line 1,273: Line 944:
| 66
| 66
| 498.1132075
| 498.1132075
| '''[[4/3]]'''
| ?
| ?
| ?
| ?
| P4
| P4
| Perfect Fourth
| Perfect Fourth
Line 1,301: Line 967:
| 67
| 67
| 505.6603774
| 505.6603774
|
| [[75/56]]
| [[162/121]]
| ?
| ?
| R4
| R4
| Wide Fourth
| Wide Fourth
Line 1,319: Line 980:
| 68
| 68
| 513.2075472
| 513.2075472
|
| ?
| [[121/90]]
| ?
| ?
| rK4
| rK4
| Narrow Acute Fourth
| Narrow Acute Fourth
Line 1,336: Line 992:
| 69
| 69
| 520.7547170
| 520.7547170
| [[27/20]]
| ?
| ?
| [[104/77]]
| ?
| K4
| K4
| Lesser Acute Fourth
| Lesser Acute Fourth
Line 1,355: Line 1,006:
| 70
| 70
| 528.3018868
| 528.3018868
|
| [[256/189]]
| [[110/81]]
| ?
| ?
| S4, kM4
| S4, kM4
| Greater Acute Fourth
| Greater Acute Fourth
Line 1,371: Line 1,017:
| 71
| 71
| 535.8490566
| 535.8490566
|
| RkM4, ud5
| ?
| Wide Acute Fourth, Infra-Diminished Fifth
| [[15/11]]
| ?
| ?
| RkM4, ud5
| Wide Acute Fourth, Infra-Diminished Fifth
| Gt>↓, Adb>
| Gt>↓, Adb>
| This interval…
| This interval…
Line 1,389: Line 1,030:
| 72
| 72
| 543.3962264
| 543.3962264
| ?
| ?
| ?
| 160/117
| 256/187
| rM4, Rud5
| rM4, Rud5
| Narrow Paramajor Fourth, Diretroptolemaic Diminished Fifth
| Narrow Paramajor Fourth, Diretroptolemaic Diminished Fifth
Line 1,406: Line 1,042:
| 73
| 73
| 550.9433962
| 550.9433962
|
| ?
| '''[[11/8]]'''
| ?
| ?
| M4, rKud5
| M4, rKud5
| Paramajor Fourth, Lesser Sub-Diminished Fifth
| Paramajor Fourth, Lesser Sub-Diminished Fifth
Line 1,430: Line 1,061:
| 74
| 74
| 558.4905660
| 558.4905660
|
| [[112/81]]
| ?
| ?
| ?
| RM4, uA4, Kud5
| RM4, uA4, Kud5
| Infra-Augmented Fourth, Greater Sub-Diminished Fifth
| Infra-Augmented Fourth, Greater Sub-Diminished Fifth
Line 1,468: Line 1,094:
| 76
| 76
| 573.5849057
| 573.5849057
|
| ?
| ?
| ?
| 357/256
| rKuA4, Rkd5
| rKuA4, Rkd5
| Lesser Sub-Augmented Fourth, Artoretromean Diminished Fifth
| Lesser Sub-Augmented Fourth, Artoretromean Diminished Fifth
Line 1,484: Line 1,105:
| 77
| 77
| 581.1320755
| 581.1320755
|
| [[7/5]]
| ?
| ?
| ?
| KuA4, rd5
| KuA4, rd5
| Greater Sub-Augmented Fourth, Tendoretromean Diminished Fifth
| Greater Sub-Augmented Fourth, Tendoretromean Diminished Fifth
Line 1,501: Line 1,117:
| 78
| 78
| 588.6792458
| 588.6792458
| [[1024/729]], [[45/32]]
| ?
| ?
| ?
| ?
| kA4, d5
| kA4, d5
| Ptolemaic Augmented Fourth, Pythagorean Diminished Fifth
| Ptolemaic Augmented Fourth, Pythagorean Diminished Fifth
Line 1,519: Line 1,130:
| 79
| 79
| 596.2264151
| 596.2264151
|
| ?
| ?
| ?
| [[24/17]]
| RkA4, Rd5
| RkA4, Rd5
| Artomean Augmented Fourth, Artomean Diminished Fifth
| Artomean Augmented Fourth, Artomean Diminished Fifth
Line 1,537: Line 1,143:
| 80
| 80
| 603.7735849
| 603.7735849
|
| ?
| ?
| ?
| [[17/12]]
| rKd5, rA4
| rKd5, rA4
| Tendomean Diminished Fifth, Tendomean Augmented Fourth
| Tendomean Diminished Fifth, Tendomean Augmented Fourth
Line 1,555: Line 1,156:
| 81
| 81
| 611.3207547
| 611.3207547
| [[729/512]], [[64/45]]
| ?
| ?
| ?
| ?
| Kd5, A4
| Kd5, A4
| Ptolemaic Diminished Fifth, Pythagorean Augmented Fourth
| Ptolemaic Diminished Fifth, Pythagorean Augmented Fourth
Line 1,573: Line 1,169:
| 82
| 82
| 618.8679245
| 618.8679245
|
| [[10/7]]
| ?
| ?
| ?
| kUd5, RA4
| kUd5, RA4
| Lesser Super-Diminished Fifth, Artoretromean Augmented Fourth
| Lesser Super-Diminished Fifth, Artoretromean Augmented Fourth
Line 1,590: Line 1,181:
| 83
| 83
| 626.4150943
| 626.4150943
|
| ?
| ?
| ?
| 512/357
| RkUd5, rKA4
| RkUd5, rKA4
| Greater Super-Diminished Fifth, Tendoretromean Augmented Fourth
| Greater Super-Diminished Fifth, Tendoretromean Augmented Fourth
Line 1,606: Line 1,192:
| 84
| 84
| 633.9622642
| 633.9622642
| [[36/25]]
| ?
| ?
| [[13/9]]
| ?
| KKd5, rUDd5, KA4
| KKd5, rUDd5, KA4
| Diptolemaic Diminished Fifth, Retroptolemaic Augmented Fourth
| Diptolemaic Diminished Fifth, Retroptolemaic Augmented Fourth
Line 1,626: Line 1,207:
| 85
| 85
| 641.5094340
| 641.5094340
|
| [[81/56]]
| ?
| ?
| ?
| rm5, Ud5, kUA4
| rm5, Ud5, kUA4
| Ultra-Diminished Fifth, Lesser Super-Augmented Fourth
| Ultra-Diminished Fifth, Lesser Super-Augmented Fourth
Line 1,643: Line 1,219:
| 86
| 86
| 649.0566038
| 649.0566038
|
| ?
| '''[[16/11]]'''
| ?
| ?
| m5, RkUA4
| m5, RkUA4
| Paraminor Fifth, Greater Super-Augmented Fourth
| Paraminor Fifth, Greater Super-Augmented Fourth
Line 1,667: Line 1,238:
| 87
| 87
| 656.6037736
| 656.6037736
| ?
| ?
| ?
| 117/80
| 187/128
| Rm5, rUA4
| Rm5, rUA4
| Wide Paraminor Fifth, Diretroptolemaic Augmented Fourth
| Wide Paraminor Fifth, Diretroptolemaic Augmented Fourth
Line 1,684: Line 1,250:
| 88
| 88
| 664.1509434
| 664.1509434
|
| ?
| [[22/15]]
| ?
| ?
| rKm5, UA4
| rKm5, UA4
| Narrow Grave Fifth, Ultra-Augmented Fourth
| Narrow Grave Fifth, Ultra-Augmented Fourth
Line 1,702: Line 1,263:
| 89
| 89
| 671.6981132
| 671.6981132
|
| [[189/128]]
| [[81/55]]
| ?
| ?
| s5, Km5
| s5, Km5
| Lesser Grave Fifth
| Lesser Grave Fifth
Line 1,717: Line 1,273:
| 90
| 90
| 679.2452830
| 679.2452830
| [[40/27]]
| ?
| ?
| [[77/52]]
| ?
| k5
| k5
| Greater Grave Fifth
| Greater Grave Fifth
Line 1,736: Line 1,287:
| 91
| 91
| 686.7924528
| 686.7924528
|
| ?
| [[180/121]]
| ?
| ?
| Rk5
| Rk5
| Wide Grave Fifth
| Wide Grave Fifth
Line 1,753: Line 1,299:
| 92
| 92
| 694.3396226
| 694.3396226
|
| [[112/75]]
| [[121/81]]
| ?
| ?
| r5
| r5
| Narrow Fifth
| Narrow Fifth
Line 1,772: Line 1,313:
| 93
| 93
| 701.8867925
| 701.8867925
| '''[[3/2]]'''
| ?
| ?
| ?
| ?
| P5
| P5
| Perfect Fifth
| Perfect Fifth
Line 1,800: Line 1,336:
| 94
| 94
| 709.4339622
| 709.4339622
|
| ?
| ?
| ?
| [[128/85]]
| R5
| R5
| Wide Fifth
| Wide Fifth
Line 1,819: Line 1,350:
| 95
| 95
| 716.9811321
| 716.9811321
|
| ?
| [[50/33]]
| ?
| [[68/45]]
| rK5
| rK5
| Narrow Acute Fifth
| Narrow Acute Fifth
Line 1,835: Line 1,361:
| 96
| 96
| 724.5283019
| 724.5283019
| 243/160, 1024/675
| ?
| ?
| ?
| ?
| K5
| K5
| Lesser Acute Fifth
| Lesser Acute Fifth
Line 1,866: Line 1,387:
| 98
| 98
| 739.6226415
| 739.6226415
|
| ?
| 135/88
| ?
| ?
| um6, RkM5
| um6, RkM5
| Inframinor Sixth, Wide Acute Fifth
| Inframinor Sixth, Wide Acute Fifth
Line 1,883: Line 1,399:
| 99
| 99
| 747.1698113
| 747.1698113
| ?
 
| ?
| ?
| [[20/13]]
| ?
| Rm4, KKM3, rUM3
| Rm4, KKM3, rUM3
| Narrow Paramajor Fifth, Wide Inframinor Sixth
| Narrow Paramajor Fifth, Wide Inframinor Sixth
Line 1,899: Line 1,411:
| 100
| 100
| 754.7169811
| 754.7169811
|
| ?
| [[99/64]]
| ?
| [[17/11]]
| M5, rKum6
| M5, rKum6
| Paramajor Fifth, Narrow Subminor Sixth
| Paramajor Fifth, Narrow Subminor Sixth
Line 1,920: Line 1,427:
| 101
| 101
| 762.2641509
| 762.2641509
|
| [[14/9]]
| [[256/165]]
| ?
| ?
| sm6, Kum6, RM5, uA5
| sm6, Kum6, RM5, uA5
| Lesser Subminor Sixth, Infra-Augmented Fifth
| Lesser Subminor Sixth, Infra-Augmented Fifth
Line 1,937: Line 1,439:
| 102
| 102
| 769.8113208
| 769.8113208
| [[25/16]]
| ?
| ?
| ?
| ?
| km6, RuA5, kkA5
| km6, RuA5, kkA5
| Greater Subminor Sixth, Diptolemaic Augmented Fifth
| Greater Subminor Sixth, Diptolemaic Augmented Fifth
Line 1,956: Line 1,453:
| 103
| 103
| 777.3584906
| 777.3584906
|
| ?
| ?
| 224/143
| [[80/51]]
| Rkm6, rKuA5
| Rkm6, rKuA5
| Wide Subminor Sixth, Lesser Sub-Augmented Fifth
| Wide Subminor Sixth, Lesser Sub-Augmented Fifth
Line 1,973: Line 1,465:
| 104
| 104
| 784.9056604
| 784.9056604
|
| ?
| [[11/7]]
| [[52/33]]
| 85/54
| rm6, KuA5
| rm6, KuA5
| Narrow Minor Sixth, Greater Sub-Augmented Fifth
| Narrow Minor Sixth, Greater Sub-Augmented Fifth
Line 1,991: Line 1,478:
| 105
| 105
| 792.4528302
| 792.4528302
| [[128/81]]
| ?
| ?
| ?
| ?
| m6, kA5
| m6, kA5
| Pythagorean Minor Sixth, Ptolemaic Augmented Fifth
| Pythagorean Minor Sixth, Ptolemaic Augmented Fifth
Line 2,011: Line 1,493:
| 106
| 106
| 800
| 800
|
| [[100/63]]
| [[192/121]]
| ?
| [[27/17]]
| Rm6, RkA5
| Rm6, RkA5
| Artomean Minor Sixth, Artomean Augmented Fifth
| Artomean Minor Sixth, Artomean Augmented Fifth
Line 2,028: Line 1,505:
| 107
| 107
| 807.5471698
| 807.5471698
|
| ?
| ?
| ?
| [[51/32]]
| rKm6, rA5
| rKm6, rA5
| Tendomean Minor Sixth, Tendomean Augmented Fifth
| Tendomean Minor Sixth, Tendomean Augmented Fifth
Line 2,042: Line 1,514:
| 108
| 108
| 815.0943396
| 815.0943396
| '''[[8/5]]'''
| ?
| [[77/48]]
| ?
| ?
| Km6, A5
| Km6, A5
| Ptolemaic Minor Sixth, Pythagorean Augmented Fifth
| Ptolemaic Minor Sixth, Pythagorean Augmented Fifth
Line 2,066: Line 1,533:
| 109
| 109
| 822.6415094
| 822.6415094
|
| [[45/28]]
| 825/512
| ?
| ?
| RKm6, kn6, RA5
| RKm6, kn6, RA5
|Wide Minor Sixth, Artoretromean Augmented Fifth
|Wide Minor Sixth, Artoretromean Augmented Fifth
Line 2,084: Line 1,546:
| 110
| 110
| 830.1886792
| 830.1886792
|
| ?
| ?
| [[21/13]]
| 55/34
| kN6, rKA5
| kN6, rKA5
| Lesser Supraminor Sixth, Tendoretromean Augmented Fifth
| Lesser Supraminor Sixth, Tendoretromean Augmented Fifth
Line 2,100: Line 1,557:
| 111
| 111
| 837.7358491
| 837.7358491
| ?
| ?
| ?
| '''[[13/8]]'''
| [[34/21]]
| KKm6, rn6, KA5
| KKm6, rn6, KA5
| Greater Supraminor Sixth, Retroptolemaic Augmented Fifth
| Greater Supraminor Sixth, Retroptolemaic Augmented Fifth
Line 2,118: Line 1,570:
| 112
| 112
| 845.2830189
| 845.2830189
|
| ?
| [[44/27]]
| ?
| ?
| n6, SA5, kUA5
| n6, SA5, kUA5
| Artoneutral Sixth, Lesser Super-Augmented Fifth
| Artoneutral Sixth, Lesser Super-Augmented Fifth
Line 2,137: Line 1,584:
| 113
| 113
| 852.8301887
| 852.8301887
|
| ?
| [[18/11]]
| ?
| ?
| N6, RkUA5
| N6, RkUA5
| Tendoneutral Sixth, Greater Super-Augmented Fifth
| Tendoneutral Sixth, Greater Super-Augmented Fifth
Line 2,160: Line 1,602:
| 114
| 114
| 860.3773585
| 860.3773585
| ?
| ?
| ?
| [[64/39]]
| [[28/17]]
| kkM6, RN6, rUA5
| kkM6, RN6, rUA5
| Lesser Submajor Sixth, Diretroptolemaic Augmented Fifth
| Lesser Submajor Sixth, Diretroptolemaic Augmented Fifth
Line 2,179: Line 1,616:
| 115
| 115
| 867.9245283
| 867.9245283
|
| ?
| [[33/20]], [[200/121]]
| ?
| 119/72, 272/165
| Kn6, UA5
| Kn6, UA5
| Greater Submajor Sixth, Ultra-Augmented Fifth
| Greater Submajor Sixth, Ultra-Augmented Fifth
Line 2,193: Line 1,625:
| 116
| 116
| 875.4716981
| 875.4716981
|
| [[224/135]]
| ?
| ?
| 425/256
| rkM6, KN6
| rkM6, KN6
| Narrow Major Sixth
| Narrow Major Sixth
Line 2,209: Line 1,636:
| 117
| 117
| 883.0188679
| 883.0188679
| [[5/3]]
| ?
| [[128/77]]
| ?
| ?
| kM6
| kM6
| Ptolemaic Major Sixth
| Ptolemaic Major Sixth
Line 2,231: Line 1,653:
| 118
| 118
| 890.5660377
| 890.5660377
|
| ?
| ?
| 429/256
| [[256/153]]
| RkM6
| RkM6
| Artomean Major Sixth
| Artomean Major Sixth
Line 2,247: Line 1,664:
| 119
| 119
| 898.1132075
| 898.1132075
|
| [[42/25]]
| 121/72
| ?
| ?
| rM6
| rM6
| Tendomean Major Sixth
| Tendomean Major Sixth
Line 2,263: Line 1,675:
| 120
| 120
| 905.6603774
| 905.6603774
| [[27/16]]
| ?
| ?
| ?
| ?
| M6
| M6
| Pythagorean Major Sixth
| Pythagorean Major Sixth
Line 2,284: Line 1,691:
| 121
| 121
| 913.2075472
| 913.2075472
|
| ?
| [[56/33]]
| [[22/13]]
| 144/85
| RM6
| RM6
| Wide Major Sixth
| Wide Major Sixth
Line 2,301: Line 1,703:
| 122
| 122
| 920.7547170
| 920.7547170
|
| ?
| ?
| ?
| [[17/10]]
| rKM6
| rKM6
| Narrow Supermajor Sixth
| Narrow Supermajor Sixth
Line 2,318: Line 1,715:
| 123
| 123
| 928.3018868
| 928.3018868
| [[128/75]]
| ?
| ?
| 200/117
| ?
| KM6
| KM6
| Lesser Supermajor Sixth
| Lesser Supermajor Sixth
Line 2,338: Line 1,730:
| 124
| 124
| 935.8490566
| 935.8490566
|
| [[12/7]]
| [[55/32]]
| ?
| ?
| SM6, kUM6
| SM6, kUM6
| Greater Supermajor Second, Narrow Inframinor Seventh
| Greater Supermajor Second, Narrow Inframinor Seventh
Line 2,357: Line 1,744:
| 125
| 125
| 943.3962264
| 943.3962264
|
| ?
| 512/297
| ?
| ?
| um7, RkUM6
| um7, RkUM6
| Inframinor Seventh, Wide Supermajor Sixth
| Inframinor Seventh, Wide Supermajor Sixth
Line 2,373: Line 1,755:
| 126
| 126
| 950.9433962
| 950.9433962
| ?
| ?
| ?
| [[26/15]]
| ?
| KKM6, kkm7, rUM6, Rum7
| KKM6, kkm7, rUM6, Rum7
| Narrow Ultramajor Sixth, Wide Inframinor Seventh, Semitwelfth
| Narrow Ultramajor Sixth, Wide Inframinor Seventh, Semitwelfth
Line 2,392: Line 1,769:
| 127
| 127
| 958.4905660
| 958.4905660
|
| ?
| 891/512
| ?
| ?
| UM6, rKum7
| UM6, rKum7
| Ultramajor Sixth, Narrow Subminor Seventh
| Ultramajor Sixth, Narrow Subminor Seventh
Line 2,409: Line 1,781:
| 128
| 128
| 966.0377358
| 966.0377358
|
| '''[[7/4]]'''
| [[96/55]]
| ?
| ?
| sm7, Kum7
| sm7, Kum7
| Lesser Subminor Seventh, Wide Ultramajor Sixth
| Lesser Subminor Seventh, Wide Ultramajor Sixth
Line 2,429: Line 1,796:
| 129
| 129
| 973.5849057
| 973.5849057
| [[225/128]]
| ?
| [[135/77]]
| ?
| ?
| km7
| km7
| Greater Subminor Seventh
| Greater Subminor Seventh
Line 2,448: Line 1,810:
| 130
| 130
| 981.1320755
| 981.1320755
|
| ?
| [[44/25]]
| ?
| [[30/17]]
| Rkm7
| Rkm7
| Wide Subminor Seventh
| Wide Subminor Seventh
Line 2,467: Line 1,824:
| 131
| 131
| 988.6792458
| 988.6792458
|
| ?
| ?
| [[39/22]]
| 512/289
| rm7
| rm7
| Narrow Minor Seventh
| Narrow Minor Seventh
Line 2,483: Line 1,835:
| 132
| 132
| 996.2264151
| 996.2264151
| [[16/9]]
| ?
| ?
| ?
| ?
| m7
| m7
| Pythagorean Minor Seventh
| Pythagorean Minor Seventh
Line 2,503: Line 1,850:
| 133
| 133
| 1003.7735849
| 1003.7735849
|
| [[25/14]]
| [[216/121]]
| ?
| ?
| Rm7
| Rm7
| Artomean Minor Seventh
| Artomean Minor Seventh
Line 2,520: Line 1,862:
| 134
| 134
| 1011.3207547
| 1011.3207547
|
| ?
| ?
| [[256/143]]
| 459/256
| rKm7
| rKm7
| Tendomean Minor Seventh
| Tendomean Minor Seventh
Line 2,536: Line 1,873:
| 135
| 135
| 1018.8679245
| 1018.8679245
| [[9/5]]
| ?
| 231/128
| ?
| ?
| kM2
| kM2
| Ptolemaic Minor Seventh
| Ptolemaic Minor Seventh
Line 2,556: Line 1,888:
| 136
| 136
| 1026.4150943
| 1026.4150943
|
| 1024/567
| 440/243
| ?
| 768/425
| RKm7, kn7
| RKm7, kn7
| Wide Minor Seventh
| Wide Minor Seventh
Line 2,571: Line 1,898:
| 137
| 137
| 1033.9622642
| 1033.9622642
|
| ?
| [[20/11]]
| ?
| ?
| kN7, ud8
| kN7, ud8
| Lesser Supraminor Seventh, Infra-Diminished Octave
| Lesser Supraminor Seventh, Infra-Diminished Octave
Line 2,589: Line 1,911:
| 138
| 138
| 1041.5094340
| 1041.5094340
| ?
| ?
| ?
| [[117/64]]
| 1024/561, 935/512
| KKm7, rn7, Rud8
| KKm7, rn7, Rud8
| Greater Supraminor Seventh, Diretroptolemaic Diminished Octave
| Greater Supraminor Seventh, Diretroptolemaic Diminished Octave
Line 2,604: Line 1,921:
| 139
| 139
| 1049.0566038
| 1049.0566038
|
| ?
| [[11/6]]
| ?
| ?
| n7, rKud8
| n7, rKud8
| Artoneutral Seventh, Lesser Sub-Diminished Octave
| Artoneutral Seventh, Lesser Sub-Diminished Octave
Line 2,624: Line 1,936:
| 140
| 140
| 1056.6037736
| 1056.6037736
|
| ?
| [[81/44]]
| ?
| ?
| N7, sd8
| N7, sd8
| Tendoneutral Seventh, Greater Sub-Diminished Octave
| Tendoneutral Seventh, Greater Sub-Diminished Octave
Line 2,643: Line 1,950:
| 141
| 141
| 1064.1509434
| 1064.1509434
| [[50/27]]
| ?
| ?
| [[24/13]]
| ?
| kkM7, RN7, kd8
| kkM7, RN7, kd8
| Lesser Submajor Seventh, Diptolemaic Major Seventh, Retroptolemaic Diminished Octave
| Lesser Submajor Seventh, Diptolemaic Major Seventh, Retroptolemaic Diminished Octave
Line 2,659: Line 1,961:
| 142
| 142
| 1071.6981132
| 1071.6981132
|
| ?
| ?
| [[13/7]]
| 119/64
| Kn7, Rkd8
| Kn7, Rkd8
| Greater Submajor Seventh, Artoretromean Diminished Octave
| Greater Submajor Seventh, Artoretromean Diminished Octave
Line 2,677: Line 1,974:
| 143
| 143
| 1079.2452830
| 1079.2452830
|
| [[28/15]]
| 512/275
| ?
| ?
| rkM7, KN7, rd8
| rkM7, KN7, rd8
| Narrow Major Seventh, Tendoretromean Diminished Octave
| Narrow Major Seventh, Tendoretromean Diminished Octave
Line 2,693: Line 1,985:
| 144
| 144
| 1086.7924528
| 1086.7924528
| [[15/8]]
| ?
| ?
| ?
| ?
| kM7, d8
| kM7, d8
| Ptolemaic Major Seventh, Pythagorean Diminished Octave
| Ptolemaic Major Seventh, Pythagorean Diminished Octave
Line 2,714: Line 2,001:
| 145
| 145
| 1094.3396226
| 1094.3396226
|
| ?
| ?
| ?
| '''[[32/17]]'''
| RkM7, Rd8
| RkM7, Rd8
| Artomean Major Seventh, Artomean Diminished Octave  
| Artomean Major Seventh, Artomean Diminished Octave  
Line 2,733: Line 2,015:
| 146
| 146
| 1101.8867925
| 1101.8867925
|
| ?
| [[121/64]]
| [[104/55]]
| [[17/9]]
| rM7, rKd8
| rM7, rKd8
| Tendomean Major Seventh, Tendomean Diminished Octave
| Tendomean Major Seventh, Tendomean Diminished Octave
Line 2,751: Line 2,028:
| 147
| 147
| 1109.4339622
| 1109.4339622
| [[243/128]], [[256/135]]
| ?
| ?
| ?
| ?
| M7, Kd8
| M7, Kd8
| Pythagorean Major Seventh, Ptolemaic Diminished Octave
| Pythagorean Major Seventh, Ptolemaic Diminished Octave
Line 2,772: Line 2,044:
| 148
| 148
| 1116.9811321
| 1116.9811321
|
| [[40/21]]
| [[21/11]]
| ?
| ?
| RM7, kUd8
| RM7, kUd8
| Wide Major Seventh, Lesser Super-Diminished Octave
| Wide Major Seventh, Lesser Super-Diminished Octave
Line 2,788: Line 2,055:
| 149
| 149
| 1124.5283019
| 1124.5283019
|
| ?
| ?
| ?
| 153/80
| rKM7, RkUd8
| rKM7, RkUd8
| Narrow Supermajor Seventh, Greater Super-Diminished Octave
| Narrow Supermajor Seventh, Greater Super-Diminished Octave
Line 2,806: Line 2,068:
| 150
| 150
| 1132.0754717
| 1132.0754717
| [[48/25]]
| ?
| ?
| [[25/13]], [[52/27]]
| ?
| km2, RuA1, kkA1
| km2, RuA1, kkA1
| Lesser Supermajor Seventh, Diptolemaic Diminished Octave
| Lesser Supermajor Seventh, Diptolemaic Diminished Octave
Line 2,823: Line 2,080:
| 151
| 151
| 1139.6226415
| 1139.6226415
|
| [[27/14]]
| ?
| ?
| 85/44
| SM7, kUM7, Ud8
| SM7, kUM7, Ud8
| Greater Supermajor Seventh, Narrow Infraoctave, Ultra-Diminished Octave
| Greater Supermajor Seventh, Narrow Infraoctave, Ultra-Diminished Octave
Line 2,842: Line 2,094:
| 152
| 152
| 1147.1698113
| 1147.1698113
|  
| u8, RkUM7
| ?
| [[64/33]]
| ?
| [[33/17]]
| U1, rKum2
| Infraoctave, Wide Supermajor Seventh
| Infraoctave, Wide Supermajor Seventh
| Dd>, Ct#>↓
| Dd>, Ct#>↓
Line 2,865: Line 2,112:
| 153
| 153
| 1154.7169811
| 1154.7169811
| ?
| ?
| ?
| [[39/20]]
| 187/96
| KKM7, rUM7, Ru8
| KKM7, rUM7, Ru8
| Narrow Ultramajor Seventh, Wide Infraoctave
| Narrow Ultramajor Seventh, Wide Infraoctave
Line 2,886: Line 2,128:
| 154
| 154
| 1162.2641509
| 1162.2641509
|
| ?
| [[88/45]]
| ?
| [[100/51]]
| UM7, rKu8
| UM7, rKu8
| Inframinor Second, Wide Superprime
| Inframinor Second, Wide Superprime
Line 2,909: Line 2,146:
| 155
| 155
| 1169.8113208
| 1169.8113208
|
| [[63/32]]
| [[55/28]], [[108/55]]
| ?
| [[51/26]]
| s8, Ku8
| s8, Ku8
| Lesser Suboctave, Wide Ultramajor Seventh
| Lesser Suboctave, Wide Ultramajor Seventh
Line 2,933: Line 2,165:
| 156
| 156
| 1177.3584906
| 1177.3584906
| [[160/81]]
| ?
| ?
| [[77/39]]
| 168/85
| k8
| k8
| Greater Suboctave
| Greater Suboctave
Line 2,952: Line 2,179:
| 157
| 157
| 1184.9056604
| 1184.9056604
|
| ?
| [[240/121]], [[99/50]]
| [[143/72]]
| 119/60
| Rk8
| Rk8
| Wide Suboctave
| Wide Suboctave
Line 2,967: Line 2,189:
| 158
| 158
| 1192.4528302
| 1192.4528302
|
| [[448/225]]
| [[484/243]]
| [[195/98]], [[700/351]]
| 255/128
| r8
| r8
| Narrow Octave
| Narrow Octave
Line 2,984: Line 2,201:
| 159
| 159
| 1200
| 1200
| colspan="5"| '''[[2/1]]'''
| P8
| P8
| Perfect Octave
| Perfect Octave
Line 2,996: Line 2,212:
|-
|-
|}
|}
== Harmonies ==


== References ==
== References ==