72edo: Difference between revisions
m Renamed my scale to avoid confusion with the temperament aurora |
→Intervals: added SKULO interval names and notation |
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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, | | ^<sup>3</sup>1, | ||
| trup unison, | v<sup>3</sup>m2 | ||
| ^<sup>3</sup>D, | | 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 | |||
|} | |} | ||