Schismatic family: Difference between revisions

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Schism: - duplication
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== Schism ==
== Schism ==
{{See also| Archytas clan #Schism }}
See [[Archytas clan #Schism]].


Schism is a relatively low-accuracy extension as it tempers out the septimal comma. The 7/4 is found at -2 fifths, represented by the minor seventh (C-Bb). 12edo is recommendable tuning, though 29edo (29d val), 41edo (41d val), and 53edo (53d val) can be used.  
Schism is a relatively low-accuracy extension as it tempers out the septimal comma. The 7/4 is found at -2 fifths, represented by the minor seventh (C-Bb). 12edo is recommendable tuning, though 29edo (29d val), 41edo (41d val), and 53edo (53d val) can be used.
 
[[Subgroup]]: 2.3.5.7
 
[[Comma list]]: 64/63, 360/343
 
{{Mapping|legend=1| 1 0 15 6 | 0 1 -8 -2 }}
 
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 702.2696
* [[POTE]]: ~2 = 1\1, ~3/2 = 701.556
 
{{Optimal ET sequence|legend=1| 5c, 7c, 12 }}
 
[[Badness]]: 0.056648
 
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 45/44, 64/63, 99/98
 
Mapping: {{mapping| 1 0 15 6 13 | 0 1 -8 -2 -6 }}
 
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 703.3833
* POTE: ~2 = 1\1, ~3/2 = 702.136
 
{{Optimal ET sequence|legend=1| 5c, 7ce, 12, 29de }}
 
Badness: 0.037482


== Pontiac ==
== Pontiac ==