34edo: Difference between revisions
m →Intervals: patent val has a sharp 11th harmonic |
m →Intervals: the intervals in 2.3.5.11.13.17 subgroup have the same mappings in both vals |
||
| Line 61: | Line 61: | ||
! Solfege | ! Solfege | ||
! Cents | ! Cents | ||
! Approx. Ratios of<br>2.3.5.13.17 [[Subgroup]] | ! Approx. Ratios of<br>2.3.5.11.13.17 [[Subgroup]] | ||
! Additional Ratios of 7 | ! Additional Ratios of 7<br>Tending Flat (34 Val) | ||
! Additional Ratios of 7 | ! Additional Ratios of 7<br>Tending Sharp (34d Val) | ||
! colspan="3" | [[Ups and Downs Notation]] | ! colspan="3" | [[Ups and Downs Notation]] | ||
|- | |- | ||
| Line 89: | Line 89: | ||
| rih | | rih | ||
| 70.588 | | 70.588 | ||
| [[25/24]], [[648/625]] | | [[25/24]], [[648/625]], [[33/32]] | ||
| [[21/20]], [[36/35]], [[50/49 | | [[21/20]], [[36/35]], [[50/49]] | ||
| [[28/27]], [[49/48 | | [[28/27]], [[49/48]] | ||
| ^^1, m2 | | ^^1, m2 | ||
| double-up 1sn, minor 2nd | | double-up 1sn, minor 2nd | ||
| Line 109: | Line 109: | ||
| ru | | ru | ||
| 141.176 | | 141.176 | ||
| [[13/12 | | [[13/12]], [[12/11]] | ||
| [[15/14]] | |||
| [[ | | [[14/13]] | ||
| A1, ~2 | | A1, ~2 | ||
| aug 1sn, mid 2nd | | aug 1sn, mid 2nd | ||
| Line 119: | Line 119: | ||
| reh | | reh | ||
| 176.471 | | 176.471 | ||
| [[10/9]] | | [[10/9]], [[11/10]] | ||
| | |||
| | | | ||
| vM2 | | vM2 | ||
| downmajor 2nd | | downmajor 2nd | ||
| Line 149: | Line 149: | ||
| meh | | meh | ||
| 282.353 | | 282.353 | ||
| [[20/17]], [[75/64]] | | [[20/17]], [[75/64]], [[13/11]] | ||
| | |||
| [[7/6 | | [[7/6]] | ||
| m3 | | m3 | ||
| minor 3rd | | minor 3rd | ||
| Line 169: | Line 169: | ||
| mu | | mu | ||
| 352.941 | | 352.941 | ||
| [[16/13]] | | [[16/13]], [[11/9]], [[27/22]] | ||
| [[17/14]], [[21/17]] | |||
| | | | ||
| ~3 | | ~3 | ||
| mid 3rd | | mid 3rd | ||
| Line 199: | Line 199: | ||
| maw | | maw | ||
| 458.824 | | 458.824 | ||
| [[13/10]], [[17/13]] | | [[13/10]], [[17/13]], [[22/17]] | ||
| [[9/7]], [[21/16 | | [[9/7]], [[21/16]] | ||
| | | | ||
| ^M3, v4 | | ^M3, v4 | ||
| upmajor 3rd,down 4th | | upmajor 3rd,down 4th | ||
| Line 219: | Line 219: | ||
| fih | | fih | ||
| 529.412 | | 529.412 | ||
| [[27/20]], [[34/25]] | | [[27/20]], [[34/25]], [[15/11]] | ||
| | |||
| | | | ||
| ^4 | | ^4 | ||
| up 4th | | up 4th | ||
| Line 229: | Line 229: | ||
| fu | | fu | ||
| 564.706 | | 564.706 | ||
| [[25/18]], [[18/13]] | | [[25/18]], [[18/13]], [[11/8]] | ||
| [[7/5]] | |||
| | | | ||
| ~4, d5 | | ~4, d5 | ||
| mid 4th, dim 5th | | mid 4th, dim 5th | ||
| Line 249: | Line 249: | ||
| su | | su | ||
| 635.294 | | 635.294 | ||
| [[36/25]], [[13/9]] | | [[36/25]], [[13/9]], [[16/11]] | ||
| [[10/7]] | |||
| | | | ||
| A4, ~5 | | A4, ~5 | ||
| aug 4th, mid 5th | | aug 4th, mid 5th | ||
| Line 259: | Line 259: | ||
| sih | | sih | ||
| 670.588 | | 670.588 | ||
| [[40/27]], [[25/17]] | | [[40/27]], [[25/17]], [[22/15]] | ||
| | |||
| | | | ||
| v5 | | v5 | ||
| down 5th | | down 5th | ||
| Line 279: | Line 279: | ||
| saw | | saw | ||
| 741.176 | | 741.176 | ||
| [[20/13]], [[26/17]] | | [[20/13]], [[26/17]], [[17/11]] | ||
| [[14/9]], [[32/21]] | |||
| | | | ||
| ^5, vm6 | | ^5, vm6 | ||
| up 5th, downminor 6th | | up 5th, downminor 6th | ||
| Line 309: | Line 309: | ||
| lu | | lu | ||
| 847.059 | | 847.059 | ||
| [[13/8]] | | [[13/8]], [[18/11]], [[44/27]] | ||
| [[28/17]], [[34/21]] | |||
| | | | ||
| ~6 | | ~6 | ||
| mid 6th | | mid 6th | ||
| Line 329: | Line 329: | ||
| laa | | laa | ||
| 917.647 | | 917.647 | ||
| [[17/10]], [[128/75]] | | [[17/10]], [[128/75]], [[22/13]] | ||
| | |||
| [[12/7 | | [[12/7]] | ||
| M6 | | M6 | ||
| major 6th | | major 6th | ||
| Line 359: | Line 359: | ||
| te | | te | ||
| 1023.529 | | 1023.529 | ||
| [[9/5]] | | [[9/5]], [[20/11]] | ||
| | |||
| | | | ||
| ^m7 | | ^m7 | ||
| upminor 7th | | upminor 7th | ||
| Line 369: | Line 369: | ||
| tu | | tu | ||
| 1058.824 | | 1058.824 | ||
| [[24/13 | | [[24/13]], [[11/6]] | ||
| [[28/15]] | |||
| [[ | | [[13/7]] | ||
| ~7 | | ~7 | ||
| mid 7th | | mid 7th | ||
| Line 389: | Line 389: | ||
| taa | | taa | ||
| 1129.412 | | 1129.412 | ||
| [[48/25]], [[625/324]] | | [[48/25]], [[625/324]], [[64/33]] | ||
| [[40/21]], [[35/18]], [[49/25 | | [[40/21]], [[35/18]], [[49/25]] | ||
| [[27/14]], [[96/49 | | [[27/14]], [[96/49]] | ||
| M7 | | M7 | ||
| major 7th | | major 7th | ||