Tetrahanson: Difference between revisions

Dummy index (talk | contribs)
Dummy index (talk | contribs)
Line 74: Line 74:


=== 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 defactored cata, respectively).
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
| 1652.9
| 1656.6
| [[13/5]]
| [[13/5]]
| 384.9
| 388.6
| 5/4
| 5/4
| 1018.9
| 1022.6
| 9/5
| 9/5
|-
|-
Line 123: Line 123:
|-
|-
| 1
| 1
| 249.1
| 245.3
| [[125/108]], [[15/13]]
| [[125/108]], [[15/13]]
| 883.1
| 879.3
| 5/3
| 5/3
| 1517.1
| 1513.3
| 12/5
| 12/5
|-
|-
| 2
| 2
| 498.2
| 490.7
| 4/3, [[33/25]]
| 4/3, [[33/25]]
| 1132.2
| 1124.7
| 48/25, [[25/13]]
| 48/25, [[25/13]]
| 1766.1
| 1758.7
| 25/9, 36/13, 11/4
| 25/9, 36/13, 11/4
|-
|-
| 3
| 3
| 747.3
| 736.0
| [[20/13]], [[55/36]]
| [[20/13]], [[55/36]]
| 1381.2
| 1370.0
| 20/9, 11/5
| 20/9, 11/5
| 113.3
| 102.1
| [[16/15]], [[55/52]]
| [[16/15]], [[55/52]]
|-
|-
| 4
| 4
| 996.3
| 981.4
| [[16/9]], [[44/25]]
| [[16/9]], [[44/25]]
| 1630.3
| 1615.4
| 64/25,33/13
| 64/25,33/13
| 362.4
| 347.4
| [[100/81]], [[16/13]], [[11/9]]
| [[100/81]], [[16/13]], [[11/9]]
|}
|}
<nowiki />* In 3.4.5-subgroup CWE tuning  
<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"