Tetrahanson: Difference between revisions
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=== b39 & b15 === | === b39 & b15 === | ||
This is restriction of [[catalan]] extension. This can maintain the structure of the 3rd-octave period in 3.4.5, 3.5.11, and 3.5.13. Well, 3.4.5 and 3.5.13, which do not include 7 or 11 in their basis, should simply be called tetrahanson (and no-twos | This is restriction of [[catalan]] extension. This can maintain the structure of the 3rd-octave period in 3.4.5, 3.5.11, and 3.5.13. Well, 3.4.5 and 3.5.13, which do not include 7 or 11 in their basis, should simply be called tetrahanson (and no-twos cata, respectively). | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 107: | Line 107: | ||
|- | |- | ||
| -1 | | -1 | ||
| | | 1656.6 | ||
| [[13/5]] | | [[13/5]] | ||
| | | 388.6 | ||
| 5/4 | | 5/4 | ||
| | | 1022.6 | ||
| 9/5 | | 9/5 | ||
|- | |- | ||
Line 123: | Line 123: | ||
|- | |- | ||
| 1 | | 1 | ||
| | | 245.3 | ||
| [[125/108]], [[15/13]] | | [[125/108]], [[15/13]] | ||
| | | 879.3 | ||
| 5/3 | | 5/3 | ||
| | | 1513.3 | ||
| 12/5 | | 12/5 | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 490.7 | ||
| 4/3, [[33/25]] | | 4/3, [[33/25]] | ||
| | | 1124.7 | ||
| 48/25, [[25/13]] | | 48/25, [[25/13]] | ||
| | | 1758.7 | ||
| 25/9, 36/13, 11/4 | | 25/9, 36/13, 11/4 | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 736.0 | ||
| [[20/13]], [[55/36]] | | [[20/13]], [[55/36]] | ||
| | | 1370.0 | ||
| 20/9, 11/5 | | 20/9, 11/5 | ||
| | | 102.1 | ||
| [[16/15]], [[55/52]] | | [[16/15]], [[55/52]] | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 981.4 | ||
| [[16/9]], [[44/25]] | | [[16/9]], [[44/25]] | ||
| | | 1615.4 | ||
| 64/25,33/13 | | 64/25,33/13 | ||
| | | 347.4 | ||
| [[100/81]], [[16/13]], [[11/9]] | | [[100/81]], [[16/13]], [[11/9]] | ||
|} | |} | ||
<nowiki />* In 3. | <nowiki />* In 3.5.11.13-subgroup 13-odd-limit minimax tuning | ||
* [https://scaleworkshop.plainsound.org/scale/KXnc-_xfK] – 15-note scale | |||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4" |