21edo: Difference between revisions
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→Intervals: some note names in table; more notation is later |
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== Intervals == | == Intervals == | ||
Inconsistent intervals are in ''italics''. | Note names are given with 7edo as the naturals and arrows (written as ^ and v) for inflections up/down by one edostep. Inconsistent intervals are in ''italics''. | ||
{| class="wikitable center-1 right-2" | |||
{| class="wikitable center-1 right-2 right-3" | |||
|- | |- | ||
! # | ! # | ||
! Name | |||
! Cents | ! Cents | ||
! Approximate Ratios* | ! Approximate Ratios* | ||
|- | |- | ||
| 0 | | 0 | ||
| C | |||
| 0.00 | | 0.00 | ||
| [[1/1]] | | [[1/1]] | ||
|- | |- | ||
| 1 | | 1 | ||
| ^C | |||
| 57.14 | | 57.14 | ||
| [[21/20]] | | [[21/20]] | ||
|- | |- | ||
| 2 | | 2 | ||
| vD | |||
| 114.29 | | 114.29 | ||
| [[14/13]], [[15/14]], [[16/15]] | | [[14/13]], [[15/14]], [[16/15]] | ||
|- | |- | ||
| 3 | | 3 | ||
| D | |||
| 171.43 | | 171.43 | ||
| ''[[9/8]]'', ''[[13/12]]'', [[35/32]] | | ''[[9/8]]'', ''[[13/12]]'', [[35/32]] | ||
|- | |- | ||
| 4 | | 4 | ||
| ^D | |||
| 228.57 | | 228.57 | ||
| [[8/7]], ''[[10/9]]'' | | [[8/7]], ''[[10/9]]'' | ||
|- | |- | ||
| 5 | | 5 | ||
| vE | |||
| 285.71 | | 285.71 | ||
|''[[6/5]]'', [[7/6]] | |''[[6/5]]'', [[7/6]] | ||
|- | |- | ||
| 6 | | 6 | ||
| E | |||
| 342.86 | | 342.86 | ||
| [[39/32]], [[128/105]], [[16/13]] | | [[39/32]], [[128/105]], [[16/13]] | ||
|- | |- | ||
| 7 | | 7 | ||
| ^E | |||
| 400.00 | | 400.00 | ||
| [[5/4]], ''[[9/7]]'' | | [[5/4]], ''[[9/7]]'' | ||
|- | |- | ||
| 8 | | 8 | ||
| vF | |||
| 457.14 | | 457.14 | ||
| [[13/10]], [[21/16]] | | [[13/10]], [[21/16]] | ||
|- | |- | ||
| 9 | | 9 | ||
| F | |||
| 514.29 | | 514.29 | ||
| [[4/3]] | | [[4/3]] | ||
|- | |- | ||
| 10 | | 10 | ||
| ^F | |||
| 571.43 | | 571.43 | ||
| [[7/5]] | | [[7/5]] | ||
|- | |- | ||
| 11 | | 11 | ||
| vG | |||
| 628.57 | | 628.57 | ||
| [[10/7]] | | [[10/7]] | ||
|- | |- | ||
| 12 | | 12 | ||
| G | |||
| 685.71 | | 685.71 | ||
| [[3/2]] | | [[3/2]] | ||
|- | |- | ||
| 13 | | 13 | ||
| ^G | |||
| 742.86 | | 742.86 | ||
| [[20/13]], [[32/21]] | | [[20/13]], [[32/21]] | ||
|- | |- | ||
| 14 | | 14 | ||
| vA | |||
| 800.00 | | 800.00 | ||
| [[8/5]], ''[[14/9]]'' | | [[8/5]], ''[[14/9]]'' | ||
|- | |- | ||
| 15 | | 15 | ||
| A | |||
| 857.14 | | 857.14 | ||
| [[64/39]], [[105/64]], [[13/8]] | | [[64/39]], [[105/64]], [[13/8]] | ||
|- | |- | ||
| 16 | | 16 | ||
| ^A | |||
| 914.29 | | 914.29 | ||
|''[[5/3]]'', [[12/7]] | |''[[5/3]]'', [[12/7]] | ||
|- | |- | ||
| 17 | | 17 | ||
| vB | |||
| 971.43 | | 971.43 | ||
| [[7/4]], ''[[9/5]]'' | | [[7/4]], ''[[9/5]]'' | ||
|- | |- | ||
| 18 | | 18 | ||
| B | |||
| 1028.57 | | 1028.57 | ||
| ''[[16/9]]'', ''[[24/13]]'', [[64/35]] | | ''[[16/9]]'', ''[[24/13]]'', [[64/35]] | ||
|- | |- | ||
| 19 | | 19 | ||
| ^B | |||
| 1085.71 | | 1085.71 | ||
| [[13/7]], [[28/15]], [[15/8]] | | [[13/7]], [[28/15]], [[15/8]] | ||
|- | |- | ||
| 20 | | 20 | ||
| vC | |||
| 1142.86 | | 1142.86 | ||
| [[40/21]] | | [[40/21]] | ||
|- | |- | ||
| 21 | | 21 | ||
| C | |||
| 1200.00 | | 1200.00 | ||
| [[2/1]] | | [[2/1]] | ||