16edo: Difference between revisions
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== Intervals == | == Intervals == | ||
Inconsistent intervals are in ''italics''. | |||
{| class="wikitable center-all | {| class="wikitable center-all right-2" | ||
|- | |- | ||
! Degree | ! rowspan="2" | Degree | ||
! [[Cent]]s | ! rowspan="2" | [[Cent]]s | ||
! Approximate ratios* | ! colspan="3" | Approximate ratios | ||
|- | |||
! [[2.3.5.11 subgroup|2.3.5.11]] mavila | |||
! 13-limit armodue | |||
! JI approximation* | |||
|- | |- | ||
| 0 | | 0 | ||
| 0 | | 0 | ||
| [[1/1]] | |||
| 1/1 | |||
| 1/1 | | 1/1 | ||
|- | |- | ||
| 1 | | 1 | ||
| 75 | | 75 | ||
| 28/27, 27/26 | | [[25/24]] | ||
| ''[[15/14]]'', [[21/20]], [[22/21]], [[26/25]] | |||
| [[28/27]], [[27/26]] | |||
|- | |- | ||
| 2 | | 2 | ||
| 150 | | 150 | ||
| 12/11, 35/32 | | ''[[9/8]]'', [[11/10]], [[12/11]], ''[[16/15]]'' | ||
| [[13/12]], [[14/13]] | |||
| 12/11, [[35/32]] | |||
|- | |- | ||
| 3 | | 3 | ||
| 225 | | 225 | ||
| ''[[10/9]]'', [[25/22]] | |||
| [[8/7]], [[15/13]], [[28/25]] | |||
| 8/7 | | 8/7 | ||
|- | |- | ||
| 4 | | 4 | ||
| 300 | | 300 | ||
| 19/16, 32/27 | | [[6/5]] | ||
| [[7/6]], [[13/11]], [[25/21]] | |||
| [[19/16]], [[32/27]] | |||
|- | |- | ||
| 5 | | 5 | ||
| 375 | | 375 | ||
| [[5/4]], [[11/9]] | |||
| ''[[9/7]]'', [[16/13]], [[26/21]] | |||
| 5/4, 16/13, 26/21 | | 5/4, 16/13, 26/21 | ||
|- | |- | ||
| 6 | | 6 | ||
| 450 | | 450 | ||
| 13/10, 35/27 | | [[32/25]] | ||
| [[14/11]], [[13/10]], [[21/16]] | |||
| 13/10, [[35/27]] | |||
|- | |- | ||
| 7 | | 7 | ||
| 525 | | 525 | ||
| 19/14, 27/20, 35/26 | | [[4/3]], [[11/8]], [[15/11]] | ||
| ''[[18/13]]'' | |||
| [[19/14]], [[27/20]], [[35/26]] | |||
|- | |- | ||
| 8 | | 8 | ||
| 600 | | 600 | ||
| [[25/18]], [[36/25]] | |||
| [[7/5]], [[10/7]] | |||
| 7/5, 10/7 | | 7/5, 10/7 | ||
|- | |- | ||
| 9 | | 9 | ||
| 675 | | 675 | ||
| 28/19, 40/27, 52/35 | | [[3/2]], [[16/11]], [[22/15]] | ||
| ''[[13/9]]'' | |||
| [[28/19]], [[40/27]], [[52/35]] | |||
|- | |- | ||
| 10 | | 10 | ||
| 750 | | 750 | ||
| 20/13, 54/35 | | [[25/16]] | ||
| [[11/7]], [[20/13]], [[32/21]] | |||
| 20/13, [[54/35]] | |||
|- | |- | ||
| 11 | | 11 | ||
| 825 | | 825 | ||
| [[8/5]], [[18/11]] | |||
| ''[[14/9]]'', [[13/8]], [[21/13]] | |||
| 8/5, 13/8, 21/13 | | 8/5, 13/8, 21/13 | ||
|- | |- | ||
| 12 | | 12 | ||
| 900 | | 900 | ||
| 27/16, 32/19 | | [[5/3]] | ||
| [[12/7]], [[22/13]], [[42/25]] | |||
| [[27/16]], [[32/19]] | |||
|- | |- | ||
| 13 | | 13 | ||
| 975 | | 975 | ||
| ''[[9/5]]'', [[44/25]] | |||
| [[7/4]], [[26/15]], [[25/14]] | |||
| 7/4 | | 7/4 | ||
|- | |- | ||
| 14 | | 14 | ||
| 1050 | | 1050 | ||
| 11/6, 64/35 | | ''[[16/9]]'', [[20/11]], [[11/6]], ''[[15/8]]'' | ||
| [[24/13]], [[13/7]] | |||
| [[11/6]], 64/35 | |||
|- | |- | ||
| 15 | | 15 | ||
| 1125 | | 1125 | ||
| 27/14, 52/27 | | [[48/25]] | ||
| ''[[28/15]]'', [[40/21]], [[21/11]], [[25/13]] | |||
| [[27/14]], [[52/27]] | |||
|- | |- | ||
| 16 | | 16 | ||
| 1200 | | 1200 | ||
| 2/1 | | [[2/1]] | ||
| [[2/1]] | |||
| [[2/1]] | |||
|} | |} | ||
<nowiki />* Based on treating 16edo as a 2.27.5.7.13.19 subgroup temperament; other approaches are possible. | <nowiki />* Based on treating 16edo as a 2.27.5.7.13.19 subgroup temperament; other approaches are possible. Odd 27 is approximated via [[direct approximation]]. | ||
== Notation == | == Notation == | ||