Xenharmonic Wiki

Diminished family: Difference between revisions

← Older editNewer edit →
VisualWikitext
Unify to 3 decimal places. +error maps
Line 11: Line 11:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~6/5 = 1\4, ~3/2 = 696.9833 (~25/24 = 96.9833)
* [[CTE]]: ~6/5 = 1\4, ~3/2 = 696.983 (~25/24 = 96.983)
: [[error map]]: {{val| 0.000 -4.972 +10.670 }}
* [[POTE]]: ~6/5 = 1\4, ~3/2 = 699.507 (~25/24 = 99.507)
* [[POTE]]: ~6/5 = 1\4, ~3/2 = 699.507 (~25/24 = 99.507)
: error map: {{val| 0.000 -2.448 +13.193 }}


{{Optimal ET sequence|legend=1| 4, 8, 12 }}
{{Optimal ET sequence|legend=1| 4, 8, 12 }}
Line 32: Line 34:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~6/5 = 1\4, ~3/2 = 691.9545 (~21/20 = 91.9545)
* [[CTE]]: ~6/5 = 1\4, ~3/2 = 691.955 (~21/20 = 91.955)
: [[error map]]: {{val| 0.000 -10.000 +5.641 +23.129 }}
* [[POTE]]: ~6/5 = 1\4, ~3/2 = 699.523 (~21/20 = 99.523)
* [[POTE]]: ~6/5 = 1\4, ~3/2 = 699.523 (~21/20 = 99.523)
: error map: {{val| 0.000 -2.432 +13.210 +30.698 }}


{{Optimal ET sequence|legend=1| 4, 8d, 12 }}
{{Optimal ET sequence|legend=1| 4, 8d, 12 }}
Line 49: Line 53:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~3/2 = 691.9546 (~21/20 = 91.9546)
* CTE: ~6/5 = 1\4, ~3/2 = 691.955 (~21/20 = 91.955)
* POTE: ~6/5 = 1\4, ~3/2 = 709.109 (~15/14 = 109.109)
* POTE: ~6/5 = 1\4, ~3/2 = 709.109 (~15/14 = 109.109)


Line 64: Line 68:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~3/2 = 691.9544 (~21/20 = 91.9544)
* CTE: ~6/5 = 1\4, ~3/2 = 691.954 (~21/20 = 91.954)
* POTE: ~6/5 = 1\4, ~3/2 = 713.773 (~15/14 = 113.773)
* POTE: ~6/5 = 1\4, ~3/2 = 713.773 (~15/14 = 113.773)


Line 79: Line 83:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~3/2 = 687.7473 (~21/20 = 87.7473)
* CTE: ~6/5 = 1\4, ~3/2 = 687.747 (~21/20 = 87.747)
* POTE: ~6/5 = 1\4, ~3/2 = 689.881 (~21/20 = 89.881)
* POTE: ~6/5 = 1\4, ~3/2 = 689.881 (~21/20 = 89.881)


Line 98: Line 102:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~11/7 = 793.4233 (~12/11 = 106.5767)
* CTE: ~6/5 = 1\4, ~11/7 = 793.423 (~12/11 = 106.577)
* POTE: ~6/5 = 1\4, ~11/7 = 798.4212 (~12/11 = 101.679)
* POTE: ~6/5 = 1\4, ~11/7 = 798.421 (~12/11 = 101.679)


Optimal ET sequence: {{Optimal ET sequence| 8bce, 12 }}
Optimal ET sequence: {{Optimal ET sequence| 8bce, 12 }}
Line 113: Line 117:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~11/7 = 791.3751 (~12/11 = 108.6249)
* CTE: ~6/5 = 1\4, ~11/7 = 791.375 (~12/11 = 108.625)
* POTE: ~6/5 = 1\4, ~11/7 = 797.701 (~12/11 = 102.299)
* POTE: ~6/5 = 1\4, ~11/7 = 797.701 (~12/11 = 102.299)


Line 132: Line 136:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~6/5 = 1\4, ~7/4 = 948.2575 (~36/35 = 48.2575)
* [[CTE]]: ~6/5 = 1\4, ~7/4 = 949.540 (~36/35 = 49.540)
: [[error map]]: {{val| 0.000 -2.875 +12.766 -19.286 }}
* [[POTE]]: ~6/5 = 1\4, ~7/4 = 947.445 (~36/35 = 47.445)
* [[POTE]]: ~6/5 = 1\4, ~7/4 = 947.445 (~36/35 = 47.445)
: error map: {{val| 0.000 -7.065 +8.576 -21.381 }}


{{Optimal ET sequence|legend=1| 4, …, 20c, 24 }}
{{Optimal ET sequence|legend=1| 4, …, 20c, 24 }}
Line 147: Line 153:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~7/4 = 949.8722 (~36/35 = 49.8722)
* CTE: ~6/5 = 1\4, ~7/4 = 949.872 (~36/35 = 49.872)
* POTE: ~6/5 = 1\4, ~7/4 = 948.342 (~36/35 = 48.342)
* POTE: ~6/5 = 1\4, ~7/4 = 948.342 (~36/35 = 48.342)


Line 162: Line 168:


Optimal tunings:  
Optimal tunings:  
* CTE: ~6/5 = 1\4, ~7/4 = 949.3664 (~36/35 = 49.3664)
* CTE: ~6/5 = 1\4, ~7/4 = 949.366 (~36/35 = 49.366)
* POTE: ~6/5 = 1\4, ~7/4 = 947.775 (~36/35 = 47.775)
* POTE: ~6/5 = 1\4, ~7/4 = 947.775 (~36/35 = 47.775)


Line 181: Line 187:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~15/14 = 1\8, ~3/2 = 702.7651 (~36/35 = 47.2349)
* [[CTE]]: ~15/14 = 1\8, ~3/2 = 702.765 (~36/35 = 47.235)
* [[POTE]]: ~15/14 = 1\8, ~3/2 = 707.014 (~36/35 = 42.986)
* [[POTE]]: ~15/14 = 1\8, ~3/2 = 707.014 (~36/35 = 42.986)


Line 196: Line 202:


Optimal tunings:  
Optimal tunings:  
* CTE: ~12/11 = 1\8, ~3/2 = 702.6622 (~36/35 = 47.3378)
* CTE: ~12/11 = 1\8, ~3/2 = 702.662 (~36/35 = 47.338)
* POTE: ~12/11 = 1\8, ~3/2 = 706.645 (~36/35 = 43.355)
* POTE: ~12/11 = 1\8, ~3/2 = 706.645 (~36/35 = 43.355)


Line 211: Line 217:


Optimal tunings:  
Optimal tunings:  
* CTE: ~12/11 = 1\8, ~3/2 = 701.9520 (~36/35 = 48.0480)
* CTE: ~12/11 = 1\8, ~3/2 = 701.952 (~36/35 = 48.048)
* POTE: ~12/11 = 1\8, ~3/2 = 707.376 (~36/35 = 42.624)
* POTE: ~12/11 = 1\8, ~3/2 = 707.376 (~36/35 = 42.624)


Retrieved from "https://en.xen.wiki/w/Diminished_family"