41edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
→Intervals: sort ratios by complexity to facilitate finding the most relevant ratios for each step. -27/22 and 44/27 (don't need to be there when not distinct from 11/9 and 18/11). -81/64 and 128/81 (too complex than other ratios mapped to the same step e.g. 33/26) |
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| Line 61: | Line 61: | ||
| 1 | | 1 | ||
| 29.3 | | 29.3 | ||
| [[ | | [[49/48]], [[50/49]], [[64/63]], [[81/80]] | ||
| up-unison | | up-unison | ||
| ^1 | | ^1 | ||
| Line 73: | Line 73: | ||
| 2 | | 2 | ||
| 58.5 | | 58.5 | ||
| [[25/24]], [[28/27]], [[ | | [[25/24]], [[28/27]], [[33/32]], [[36/35]] | ||
| dup-unison, downminor 2nd | | dup-unison, downminor 2nd | ||
| ^^1, vm2 | | ^^1, vm2 | ||
| Line 85: | Line 85: | ||
| 3 | | 3 | ||
| 87.8 | | 87.8 | ||
| [[ | | [[19/18]], [[20/19]], [[21/20]], [[22/21]] | ||
| down-aug 1sn, minor 2nd | | down-aug 1sn, minor 2nd | ||
| vA1, m2 | | vA1, m2 | ||
| Line 97: | Line 97: | ||
| 4 | | 4 | ||
| 117.1 | | 117.1 | ||
| [[ | | [[14/13]], [[15/14]], [[16/15]] | ||
| augmented 1sn, upminor 2nd | | augmented 1sn, upminor 2nd | ||
| A1, ^m2 | | A1, ^m2 | ||
| Line 169: | Line 169: | ||
| 10 | | 10 | ||
| 292.7 | | 292.7 | ||
| [[ | | [[13/11]], [[19/16]], [[32/27]] | ||
| minor 3rd | | minor 3rd | ||
| m3 | | m3 | ||
| Line 193: | Line 193: | ||
| 12 | | 12 | ||
| 351.2 | | 351.2 | ||
| [[11/9 | | [[11/9]], [[16/13]] | ||
| mid 3rd | | mid 3rd | ||
| ~3 | | ~3 | ||
| Line 217: | Line 217: | ||
| 14 | | 14 | ||
| 409.8 | | 409.8 | ||
| [[ | | [[14/11]], [[19/15]], [[24/19]] | ||
| major 3rd | | major 3rd | ||
| M3 | | M3 | ||
| Line 265: | Line 265: | ||
| 18 | | 18 | ||
| 526.8 | | 526.8 | ||
| [[ | | [[15/11]], [[19/14]], [[27/20]] | ||
| up-4th | | up-4th | ||
| ^4 | | ^4 | ||
| Line 313: | Line 313: | ||
| 22 | | 22 | ||
| 643.9 | | 643.9 | ||
| [[ | | [[13/9]], [[16/11]], [[19/13]] | ||
| mid-5th, upaug 4th | | mid-5th, upaug 4th | ||
| ~5, ^A4 | | ~5, ^A4 | ||
| Line 325: | Line 325: | ||
| 23 | | 23 | ||
| 673.2 | | 673.2 | ||
| [[ | | [[22/15]], [[28/19]], [[40/27]] | ||
| down-5th | | down-5th | ||
| v5 | | v5 | ||
| Line 349: | Line 349: | ||
| 25 | | 25 | ||
| 731.7 | | 731.7 | ||
| [[ | | [[20/13]], [[32/21]] | ||
| up-5th | | up-5th | ||
| ^5 | | ^5 | ||
| Line 373: | Line 373: | ||
| 27 | | 27 | ||
| 790.2 | | 790.2 | ||
| | | [[11/7]], [[19/12]], [[30/19]] | ||
| minor 6th | | minor 6th | ||
| m6 | | m6 | ||
| Line 397: | Line 397: | ||
| 29 | | 29 | ||
| 848.8 | | 848.8 | ||
| [[ | | [[13/8]], [[18/11]] | ||
| mid 6th | | mid 6th | ||
| ~6 | | ~6 | ||
| Line 421: | Line 421: | ||
| 31 | | 31 | ||
| 907.3 | | 907.3 | ||
| [[ | | [[22/13]], [[27/16]], [[32/19]] | ||
| major 6th | | major 6th | ||
| M6 | | M6 | ||
| Line 493: | Line 493: | ||
| 37 | | 37 | ||
| 1082.9 | | 1082.9 | ||
| [[ | | [[13/7]], [[15/8]], [[28/15]] | ||
| downmajor 7th | | downmajor 7th | ||
| vM7 | | vM7 | ||
| Line 505: | Line 505: | ||
| 38 | | 38 | ||
| 1112.2 | | 1112.2 | ||
| [[ | | [[19/10]], [[21/11]], [[36/19]], [[40/21]] | ||
| major 7th | | major 7th | ||
| M7 | | M7 | ||
| Line 517: | Line 517: | ||
| 39 | | 39 | ||
| 1141.5 | | 1141.5 | ||
| [[ | | [[27/14]], [[35/18]], [[48/25]], [[64/33]] | ||
| upmajor 7th | | upmajor 7th | ||
| ^M7 | | ^M7 | ||
| Line 529: | Line 529: | ||
| 40 | | 40 | ||
| 1170.7 | | 1170.7 | ||
| [[ | | [[49/25]], [[63/32]], [[96/49]], [[160/81]] | ||
| dim 8ve | | dim 8ve | ||
| v8 | | v8 | ||
| Line 541: | Line 541: | ||
| 41 | | 41 | ||
| 1200.0 | | 1200.0 | ||
| 2/1 | | [[2/1]] | ||
| perfect 8ve | | perfect 8ve | ||
| P8 | | P8 | ||