72edo: Difference between revisions

TallKite (talk | contribs)
TallKite (talk | contribs)
Intervals: added trup and trud
Line 58: Line 58:
| 33/32
| 33/32
| ^<sup>3</sup>1, <br>v<sup>3</sup>m2
| ^<sup>3</sup>1, <br>v<sup>3</sup>m2
| triple-up unison,<br>triple-down minor 2nd
| trup unison,<br>trudminor 2nd
| ^<sup>3</sup>D, <br>v<sup>3</sup>Eb
| ^<sup>3</sup>D, <br>v<sup>3</sup>Eb
|-
|-
Line 142: Line 142:
| 81/70,  15/13
| 81/70,  15/13
| ^<sup>3</sup>M2, <br>v<sup>3</sup>m3
| ^<sup>3</sup>M2, <br>v<sup>3</sup>m3
| triple-up major 2nd,<br>triple-down minor 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
|-
|-
Line 225: Line 225:
| 450.000
| 450.000
| 35/27, 13/10
| 35/27, 13/10
| ^<sup>3</sup>M3, <br>v<sup>3</sup>4
| ^<sup>3</sup>M3, v<sup>3</sup>4
| triple-up major 3rd,<br>triple-down 4th
| trupmajor 3rd, trud 4th
| ^<sup>3</sup>F#, <br>v<sup>3</sup>G
| ^<sup>3</sup>F#, v<sup>3</sup>G
|-
|-
| 28
| 28
Line 260: Line 260:
| 533.333
| 533.333
| 15/11
| 15/11
| v~4
| ^^4, v~4
| downmid 4th
| dup 4th, downmid 4th
| ^^G
| ^^G
|-
|-
Line 274: Line 274:
| 566.667
| 566.667
| 25/18, 18/13
| 25/18, 18/13
| ^~4
| ^~4, vvA4
| upmid 4th
| upmid 4th, dudaug 4th
| vvG#
| vvG#
|-
|-
Line 282: Line 282:
| 7/5
| 7/5
| vA4, vd5
| vA4, vd5
| downaug 4th, updim 5th
| downaug 4th, downdim 5th
| vG#, vAb
| vG#, vAb
|-
|-
Line 296: Line 296:
| 10/7
| 10/7
| ^A4, ^d5
| ^A4, ^d5
| upaug 4th, downdim 5th
| upaug 4th, updim 5th
| ^G#, ^Ab
| ^G#, ^Ab
|-
|-
Line 302: Line 302:
| 633.333
| 633.333
| 36/25, 13/9
| 36/25, 13/9
| v~5
| v~5, ^^d5
| downmid 5th
| downmid 5th, dupdim 5th
| ^^Ab
| ^^Ab
|-
|-
Line 316: Line 316:
| 666.667
| 666.667
| 22/15
| 22/15
| ^~5
| vv5, ^~5
| upmid 5th
| dud 5th, upmid 5th
| vvA
| vvA
|-
|-
Line 351: Line 351:
| 750.000
| 750.000
| 54/35, 17/11
| 54/35, 17/11
| ^<sup>3</sup>5, <br>v<sup>3</sup>m6
| ^<sup>3</sup>5, v<sup>3</sup>m6
| triple-up 5th,<br>triple-down minor 6th
| trup 5th, trudminor 6th
| ^<sup>3</sup>A, <br>v<sup>3</sup>Bb
| ^<sup>3</sup>A, v<sup>3</sup>Bb
|-
|-
| 46
| 46
Line 436: Line 436:
| 121/70
| 121/70
| ^<sup>3</sup>M6, <br>v<sup>3</sup>m7
| ^<sup>3</sup>M6, <br>v<sup>3</sup>m7
| triple-up major 6th,<br>triple-down minor 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
|-
|-
Line 519: Line 519:
| 1150.000
| 1150.000
| 35/18
| 35/18
| ^<sup>3</sup>M7, <br>v<sup>3</sup>8
| ^<sup>3</sup>M7, v<sup>3</sup>8
| triple-up major 7th,<br>triple-down octave
| trupmajor 7th, trud octave
| ^<sup>3</sup>C#, <br>v<sup>3</sup>D
| ^<sup>3</sup>C#, v<sup>3</sup>D
|-
|-
| 70
| 70
Line 556: Line 556:
! examples
! examples
|-
|-
| dud minor
| dudminor
| zo
| zo
| {a, b, 0, 1}
| (a b 0 1)
| 7/6, 7/4
| 7/6, 7/40
|-
|-
| minor
| minor
| fourthward wa
| fourthward wa
| {a, b}, b &lt; -1
| (a b), b &lt; -1
| 32/27, 16/9
| 32/27, 16/9
|-
|-
| upminor
| upminor
| gu
| gu
| {a, b, -1}
| (a b -1)
| 6/5, 9/5
| 6/5, 9/5
|-
|-
| mid
| rowspan="2" |downmid
|luyo
|(a b 1 0 -1)
|15/11
|-
|tho
|(a b 0 0 0 1)
|13/8, 13/9
|-
| rowspan="2" | mid
| ilo
| ilo
| {a, b, 0, 0, 1}
| (a, b, 0, 0, 1)
| 11/9, 11/6
| 11/9, 11/6
|-
|-
| "
| lu
| lu
| {a, b, 0, 0, -1}
| (a, b, 0, 0, -1)
| 12/11, 18/11
| 12/11, 18/11
|-
| rowspan="2" |upmid
|logu
|(a b -1 0 1)
|11/10
|-
|thu
|(a b 0 0 0 -1)
|16/13, 18/13
|-
|-
| downmajor
| downmajor
| yo
| yo
| {a, b, 1}
| (a b 1)
| 5/4, 5/3
| 5/4, 5/3
|-
|-
| major
| major
| fifthward wa
| fifthward wa
| {a, b}, b &gt; 1
| (a b), b &gt; 1
| 9/8, 27/16
| 9/8, 27/16
|-
|-
| dup major
| dupmajor
| ru
| ru
| {a, b, 0, -1}
| (a, b, 0, -1)
| 9/7, 12/7
| 9/7, 12/7
|}
|}
Line 612: Line 629:
| C vvEb G
| C vvEb G
| Cvvm
| Cvvm
| C dud minor
| C dudminor
|-
|-
| gu
| gu