72edo: Difference between revisions

BudjarnLambeth (talk | contribs)
m Renamed my scale to avoid confusion with the temperament aurora
Lhearne (talk | contribs)
Intervals: added SKULO interval names and notation
Line 35: Line 35:
! Approximate Ratios *
! Approximate Ratios *
! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]
! colspan="3" | [[Ups and downs notation|Ups and Downs Notation]]
! colspan="3" |[[SKULO interval names|SKULO interval names and notation]]
|-
|-
| 0
| 0
Line 42: Line 43:
| perfect unison
| perfect unison
| D
| D
|P1
|perfect unison
|D
|-
|-
| 1
| 1
Line 49: Line 53:
| up unison
| up unison
| ^D
| ^D
|K1, L1
|comma-wide unison, large unison
|KD
|-
|-
| 2
| 2
Line 56: Line 63:
| dup unison
| dup unison
| ^^D
| ^^D
|S1, O1
|super unison, on unison
|SD
|-
|-
| 3
| 3
| 50.000
| 50.000
| 33/32
| 33/32
| ^<sup>3</sup>1, <br>v<sup>3</sup>m2
| ^<sup>3</sup>1,  
| trup unison,<br>trudminor 2nd
v<sup>3</sup>m2
| ^<sup>3</sup>D, <br>v<sup>3</sup>Eb
| trup unison,  
trudminor 2nd
| ^<sup>3</sup>D,  
v<sup>3</sup>Eb
|U1, H1,
hm2
|uber unison, hyper unison,
hypominor 2nd
|UD, HD,
uEb
|-
|-
| 4
| 4
Line 70: Line 89:
| dudminor 2nd
| dudminor 2nd
| vvEb
| vvEb
|kkA1, sm2
|classic aug unison, subminor 2nd
|kkD#, sEb
|-
|-
| 5
| 5
Line 77: Line 99:
| downminor 2nd
| downminor 2nd
| vEb
| vEb
|kA1, lm2
|comma-narrow aug unison, little minor 2nd
|kD#, lEb
|-
|-
| 6
| 6
Line 84: Line 109:
| minor 2nd
| minor 2nd
| Eb
| Eb
|m2
|minor 2nd
|Eb
|-
|-
| 7
| 7
Line 91: Line 119:
| upminor 2nd
| upminor 2nd
| ^Eb
| ^Eb
|Km2
|classic minor 2nd
|KEb
|-
|-
| 8
| 8
Line 98: Line 129:
| downmid 2nd
| downmid 2nd
| ^^Eb
| ^^Eb
|Om2
|on minor 2nd
|OEb
|-
|-
| 9
| 9
Line 105: Line 139:
| mid 2nd
| mid 2nd
| v<sup>3</sup>E
| v<sup>3</sup>E
|N2
|neutral 2nd
|UEb/uE
|-
|-
| 10
| 10
Line 112: Line 149:
| upmid 2nd
| upmid 2nd
| vvE
| vvE
|oM2
|off major 2nd
|oE
|-
|-
| 11
| 11
Line 119: Line 159:
| downmajor 2nd
| downmajor 2nd
| vE
| vE
|kM2
|classic/comma-narrow major 2nd
|kE
|-
|-
| 12
| 12
Line 126: Line 169:
| major 2nd
| major 2nd
| E
| E
|M2
|major 2nd
|E
|-
|-
| 13
| 13
Line 133: Line 179:
| upmajor 2nd
| upmajor 2nd
| ^E
| ^E
|LM2
|large major 2nd
|LE
|-
|-
| 14
| 14
Line 140: Line 189:
| dupmajor 2nd
| dupmajor 2nd
| ^^E
| ^^E
|SM2
|supermajor 2nd
|SE
|-
|-
| 15
| 15
Line 147: Line 199:
| trupmajor 2nd,<br>trudminor 3rd
| trupmajor 2nd,<br>trudminor 3rd
| ^<sup>3</sup>E, <br>v<sup>3</sup>F
| ^<sup>3</sup>E, <br>v<sup>3</sup>F
|HM2,
hm3
|hypermajor 2nd,
hypominor 3rd
|HE,
hF
|-
|-
| 16
| 16
Line 154: Line 212:
| dudminor 3rd
| dudminor 3rd
| vvF
| vvF
|sm3
|subminor 3rd
|sF
|-
|-
| 17
| 17
Line 161: Line 222:
| downminor 3rd
| downminor 3rd
| vF
| vF
|lm3
|little minor 3rd
|lF
|-
|-
| 18
| 18
Line 168: Line 232:
| minor 3rd
| minor 3rd
| F
| F
|m3
|minor 3rd
|F
|-
|-
| 19
| 19
Line 175: Line 242:
| upminor 3rd
| upminor 3rd
| ^F
| ^F
|Km3
|classic minor 3rd
|KF
|-
|-
| 20
| 20
Line 182: Line 252:
| downmid 3rd
| downmid 3rd
| ^^F
| ^^F
|Om3
|on minor third
|OF
|-
|-
| 21
| 21
Line 189: Line 262:
| mid 3rd
| mid 3rd
| ^<sup>3</sup>F
| ^<sup>3</sup>F
|N3
|neutral 3rd
|UF/uF#
|-
|-
| 22
| 22
Line 196: Line 272:
| upmid 3rd
| upmid 3rd
| vvF#
| vvF#
|oM3
|off major 3rd
|oF#
|-
|-
| 23
| 23
Line 203: Line 282:
| downmajor 3rd
| downmajor 3rd
| vF#
| vF#
|kM3
|classic major 3rd
|kF#
|-
|-
| 24
| 24
Line 210: Line 292:
| major 3rd
| major 3rd
| F#
| F#
|M3
|major 3rd
|F#
|-
|-
| 25
| 25
Line 217: Line 302:
| upmajor 3rd
| upmajor 3rd
| ^F#
| ^F#
|LM3
|large major 3rd
|LF#
|-
|-
| 26
| 26
Line 224: Line 312:
| dupmajor 3rd
| dupmajor 3rd
| ^^F#
| ^^F#
|SM3
|supermajor 3rd
|SF#
|-
|-
| 27
| 27
| 450.000
| 450.000
| 35/27, 13/10
| 35/27, 13/10
| ^<sup>3</sup>M3, v<sup>3</sup>4
| ^<sup>3</sup>M3,  
| trupmajor 3rd, trud 4th
v<sup>3</sup>4
| ^<sup>3</sup>F#, v<sup>3</sup>G
| trupmajor 3rd,  
trud 4th
| ^<sup>3</sup>F#,  
v<sup>3</sup>G
|HM3,
h4
|hypermajor 3rd,
hypo 4th
|HF#,
hG
|-
|-
| 28
| 28
Line 238: Line 338:
| dud 4th
| dud 4th
| vvG
| vvG
|s4
|sub 4th
|sG
|-
|-
| 29
| 29
Line 245: Line 348:
| down 4th
| down 4th
| vG
| vG
|l4
|little 4th
|lG
|-
|-
| 30
| 30
Line 252: Line 358:
| perfect 4th
| perfect 4th
| G
| G
|P4
|perfect 4th
|G
|-
|-
| 31
| 31
Line 259: Line 368:
| up 4th
| up 4th
| ^G
| ^G
|K4
|comma-wide 4th
|KG
|-
|-
| 32
| 32
Line 266: Line 378:
| dup 4th, downmid 4th
| dup 4th, downmid 4th
| ^^G
| ^^G
|O4
|on 4th
|OG
|-
|-
| 33
| 33
Line 273: Line 388:
| mid 4th
| mid 4th
| ^<sup>3</sup>G
| ^<sup>3</sup>G
|U4/N4
|uber 4th / neutral 4th
|UG
|-
|-
| 34
| 34
Line 280: Line 398:
| upmid 4th, dudaug 4th
| upmid 4th, dudaug 4th
| vvG#
| vvG#
|kkA4, sd5
|classic aug 4th, sub dim 5th
|kkG#, sAb
|-
|-
| 35
| 35
Line 287: Line 408:
| downaug 4th, downdim 5th
| downaug 4th, downdim 5th
| vG#, vAb
| vG#, vAb
|kA4, ld5
|comma-narrow aug 4th, little dim 5th
|kG#, lAb
|-
|-
| 36
| 36
Line 294: Line 418:
| aug 4th, dim 5th
| aug 4th, dim 5th
| G#, Ab
| G#, Ab
|A4, d5
|aug 4th, dim 5th
|G#, Ab
|-
|-
| 37
| 37
Line 301: Line 428:
| upaug 4th, updim 5th
| upaug 4th, updim 5th
| ^G#, ^Ab
| ^G#, ^Ab
|LA4, Kd5
|large aug 4th, comma-wide dim 5th
|LG#, KAb
|-
|-
| 38
| 38
Line 308: Line 438:
| downmid 5th, dupdim 5th
| downmid 5th, dupdim 5th
| ^^Ab
| ^^Ab
|SA4, KKd5
|super aug 4th, classic dim 5th
|SG#, KKAb
|-
|-
| 39
| 39
Line 315: Line 448:
| mid 5th
| mid 5th
| v<sup>3</sup>A
| v<sup>3</sup>A
|u5/N5
|unter 5th / neutral 5th
|uA
|-
|-
| 40
| 40
Line 322: Line 458:
| dud 5th, upmid 5th
| dud 5th, upmid 5th
| vvA
| vvA
|o5
|off 5th
|oA
|-
|-
| 41
| 41
Line 329: Line 468:
| down 5th
| down 5th
| vA
| vA
|k5
|comma-narrow 5th
|kA
|-
|-
| 42
| 42
Line 336: Line 478:
| perfect 5th
| perfect 5th
| A
| A
|P5
|perfect 5th
|A
|-
|-
| 43
| 43
Line 343: Line 488:
| up 5th
| up 5th
| ^A
| ^A
|L5
|large fifth
|LA
|-
|-
| 44
| 44
Line 350: Line 498:
| dup 5th
| dup 5th
| ^^A
| ^^A
|S5
|super fifth
|SA
|-
|-
| 45
| 45
| 750.000
| 750.000
| 54/35, 17/11
| 54/35, 17/11
| ^<sup>3</sup>5, v<sup>3</sup>m6
| ^<sup>3</sup>5,  
| trup 5th, trudminor 6th
v<sup>3</sup>m6
| ^<sup>3</sup>A, v<sup>3</sup>Bb
| trup 5th,  
trudminor 6th
| ^<sup>3</sup>A,  
v<sup>3</sup>Bb
|H5,
hm6
|hyper fifth,
hypominor 6th
|HA,
hBb
|-
|-
| 46
| 46
Line 364: Line 524:
| dudminor 6th
| dudminor 6th
| vvBb
| vvBb
|sm6
|superminor 6th
|sBb
|-
|-
| 47
| 47
Line 371: Line 534:
| downminor 6th
| downminor 6th
| vBb
| vBb
|lm6
|little minor 6th
|lBb
|-
|-
| 48
| 48
Line 378: Line 544:
| minor 6th
| minor 6th
| Bb
| Bb
|m6
|minor 6th
|Bb
|-
|-
| 49
| 49
Line 385: Line 554:
| upminor 6th
| upminor 6th
| ^Bb
| ^Bb
|Km6
|classic minor 6th
|kBb
|-
|-
| 50
| 50
Line 392: Line 564:
| downmid 6th
| downmid 6th
| ^^Bb
| ^^Bb
|Om6
|on minor 6th
|oBb
|-
|-
| 51
| 51
Line 399: Line 574:
| mid 6th
| mid 6th
| v<sup>3</sup>B
| v<sup>3</sup>B
|N6
|neutral 6th
|UBb, uB
|-
|-
| 52
| 52
Line 406: Line 584:
| upmid 6th
| upmid 6th
| vvB
| vvB
|oM6
|off major 6th
|oB
|-
|-
| 53
| 53
Line 413: Line 594:
| downmajor 6th
| downmajor 6th
| vB
| vB
|kM6
|classic major 6th
|kB
|-
|-
| 54
| 54
Line 420: Line 604:
| major 6th
| major 6th
| B
| B
|M6
|major 6th
|B
|-
|-
| 55
| 55
Line 427: Line 614:
| upmajor 6th
| upmajor 6th
| ^B
| ^B
|LM6
|large major 6th
|LB
|-
|-
| 56
| 56
Line 434: Line 624:
| dupmajor 6th
| dupmajor 6th
| ^^B
| ^^B
|SM6
|supermajor 6th
|SB
|-
|-
| 57
| 57
Line 441: Line 634:
| trupmajor 6th,<br>trudminor 7th
| trupmajor 6th,<br>trudminor 7th
| ^<sup>3</sup>B, <br>v<sup>3</sup>C
| ^<sup>3</sup>B, <br>v<sup>3</sup>C
|HM6,
hm7
|hypermajor 6th,
hypominor 7th
|HB,
hC
|-
|-
| 58
| 58
Line 448: Line 647:
| dudminor 7th
| dudminor 7th
| vvC
| vvC
|sm7
|subminor 7th
|sC
|-
|-
| 59
| 59
Line 455: Line 657:
| downminor 7th
| downminor 7th
| vC
| vC
|lm7
|little minor 7th
|lC
|-
|-
| 60
| 60
Line 462: Line 667:
| minor 7th
| minor 7th
| C
| C
|m7
|minor 7th
|C
|-
|-
| 61
| 61
Line 469: Line 677:
| upminor 7th
| upminor 7th
| ^C
| ^C
|Km7
|classic/comma-wide minor 7th
|KC
|-
|-
| 62
| 62
Line 476: Line 687:
| downmid 7th
| downmid 7th
| ^^C
| ^^C
|Om7
|on minor 7th
|OC
|-
|-
| 63
| 63
Line 483: Line 697:
| mid 7th
| mid 7th
| ^<sup>3</sup>C
| ^<sup>3</sup>C
|N7, hd8
|neutral 7th, hypo dim 8ve
|UC/uC#, hDb
|-
|-
| 64
| 64
Line 490: Line 707:
| upmid 7th
| upmid 7th
| vvC#
| vvC#
|oM7, sd8
|off major 7th, sub dim 8ve
|oC#, sDb
|-
|-
| 65
| 65
Line 497: Line 717:
| downmajor 7th
| downmajor 7th
| vC#
| vC#
|kM7, ld8
|classic major 7th, little dim 8ve
|kC#, lDb
|-
|-
| 66
| 66
Line 504: Line 727:
| major 7th
| major 7th
| C#
| C#
|M7, d8
|major 7th, dim 8ve
|C#, Db
|-
|-
| 67
| 67
Line 511: Line 737:
| upmajor 7th
| upmajor 7th
| ^C#
| ^C#
|LM7, Kd8
|large major 7th, comma-wide dim 8ve
|LC#, KDb
|-
|-
| 68
| 68
| 1133.333
| 1133.333
| 27/14
| 27/14, 48/25
| ^^M7
| ^^M7
| dupmajor 7th
| dupmajor 7th
| ^^C#
| ^^C#
|SM7, KKd8
|supermajor 7th, classic dim 8ve
|SC#, KKDb
|-
|-
| 69
| 69
| 1150.000
| 1150.000
| 35/18
| 35/18
| ^<sup>3</sup>M7, v<sup>3</sup>8
| ^<sup>3</sup>M7,  
| trupmajor 7th, trud octave
v<sup>3</sup>8
| ^<sup>3</sup>C#, v<sup>3</sup>D
| trupmajor 7th,  
trud octave
| ^<sup>3</sup>C#,  
v<sup>3</sup>D
|HM7,
u8, h8
|hypermajor 7th,
unter 8ve, hypo 8ve
|HC#,
uD, hD
|-
|-
| 70
| 70
Line 532: Line 773:
| dud octave
| dud octave
| vvD
| vvD
|s8, o8
|sub 8ve, off 8ve
|sD, oD
|-
|-
| 71
| 71
Line 539: Line 783:
| down octave
| down octave
| vD
| vD
|k8, l8
|comma-narrow 8ve, little 8ve
|kD, lD
|-
|-
| 72
| 72
Line 546: Line 793:
| perfect octave
| perfect octave
| D
| D
|P8
|perfect octave
|D
|}
|}