Diaschismic extensions: Difference between revisions
No edit summary |
copied interval chains from Dubhe, will change them soontime |
||
| Line 21: | Line 21: | ||
Both of these can be extended naturally to the [[11-limit|11-]], [[13-limit|13-]], and [[17-limit]] by adding 176/175, 352/351, and 221/220 to the comma list in this order. | Both of these can be extended naturally to the [[11-limit|11-]], [[13-limit|13-]], and [[17-limit]] by adding 176/175, 352/351, and 221/220 to the comma list in this order. | ||
== Interval chains (WIP) == | |||
<div><div style="display: inline-grid; margin-right: 25px;"> | |||
{| class="wikitable center-1 right-2" | |||
|+ style="font-size: 105%;" | First period | |||
|- | |||
! # !! Cents* !! Approximate Ratios | |||
|- | |||
| 1 || 220.3 || 17/15, 135/119, 175/153 | |||
|- | |||
| 2 || 440.6 || '''9/7''', 35/27 | |||
|- | |||
| 3 || 660.9 || 25/17, 51/35, 119/81 | |||
|- | |||
| 4 || 881.1 || '''5/3''', 81/49 | |||
|- | |||
| 5 || 1101.4 || '''17/9''', 225/119, 459/245 | |||
|- | |||
| 6 || 1321.7 || 15/7, 175/81 | |||
|- | |||
| 7 || 1542.0 || 17/7, 125/51 | |||
|- | |||
| 8 || 1762.2 || 25/9, 135/49 | |||
|- | |||
| 0 || 0.0 || '''1/1''' | |||
|- | |||
| 1 || 220.3 || 17/15, 135/119, 175/153 | |||
|- | |||
| 2 || 440.6 || '''9/7''', 35/27 | |||
|- | |||
| 3 || 660.9 || 25/17, 51/35, 119/81 | |||
|- | |||
| 4 || 881.1 || '''5/3''', 81/49 | |||
|- | |||
| 5 || 1101.4 || '''17/9''', 225/119, 459/245 | |||
|- | |||
| 6 || 1321.7 || 15/7, 175/81 | |||
|- | |||
| 7 || 1542.0 || 17/7, 125/51 | |||
|- | |||
| 8 || 1762.2 || 25/9, 135/49 | |||
|} | |||
* In 3.5.7-targeted [[DKW theory|DKW]] tuning for [[BPS]] | |||
</div> | |||
<div style="display: inline-grid; margin-right: 25px;"> | |||
{| class="wikitable center-1 right-2" | |||
|+ style="font-size: 105%;" | Second period | |||
|- | |||
! # !! Cents* !! Approximate Ratios | |||
|- | |||
| 1 || 1681.7 || 45/17, 119/45, 459/175 | |||
|- | |||
| 2 || 1461.4 || '''7/3''', 81/35 | |||
|- | |||
| 3 || 1241.1 || 35/17, 51/25, 243/119 | |||
|- | |||
| 4 || 1020.8 || '''9/5''', 49/27 | |||
|- | |||
| 5 || 800.6 || '''27/17''', 119/75, 245/153 | |||
|- | |||
| 6 || 580.3 || 7/5, 243/175 | |||
|- | |||
| 7 || 360.0 || 21/17, 153/125 | |||
|- | |||
| 8 || 139.7 || 27/25, 49/45 | |||
|- | |||
| 0 || 0.0 || '''1/1''' | |||
|- | |||
| 1 || 1681.7 || 45/17, 119/45, 459/175 | |||
|- | |||
| 2 || 1461.4 || '''7/3''', 81/35 | |||
|- | |||
| 3 || 1241.1 || 35/17, 51/25, 243/119 | |||
|- | |||
| 4 || 1020.8 || '''9/5''', 49/27 | |||
|- | |||
| 5 || 800.6 || '''27/17''', 119/75, 245/153 | |||
|- | |||
| 6 || 580.3 || 7/5, 243/175 | |||
|- | |||
| 7 || 360.0 || 21/17, 153/125 | |||
|- | |||
| 8 || 139.7 || 27/25, 49/45 | |||
|} | |||
* In 3.5.7-targeted [[DKW theory|DKW]] tuning for [[BPS]] | |||
</div> | |||
== Intervals == | == Intervals == | ||
<div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | <div class="toccolours mw-collapsible mw-collapsed" style="width:600px; overflow:auto;"> | ||