No-sevens subgroup temperaments: Difference between revisions

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Nestoria: s-expression as part of the description; normalize the mapping
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== Nestoria ==
== Nestoria ==
: <small>''See also: [[No-elevens subgroup temperaments #Garibaldia]] and [[No-elevens subgroup temperaments #Pontia|#Pontia]]''</small>
: ''See also: [[No-elevens subgroup temperaments #Garibaldia]] and [[No-elevens subgroup temperaments #Pontia|#Pontia]]''


Subgroup: 2.3.5.19
The [[S-expression]]-based comma list of this temperament is {[[1216/1215|S16/S18]], [[361/360|S19]](, [[513/512|S15/S20]])}.
 
[[Subgroup]]: 2.3.5.19


[[Comma list]]: 361/360, 513/512
[[Comma list]]: 361/360, 513/512


[[S-expression]]-based comma list: {[[1216/1215|S16/S18]], [[361/360|S19]](, [[513/512|S15/S20]])}
{{Mapping|legend=2| 1 0 15 9 | 0 1 -8 -3 }}


[[Gencom]]: [2 4/3; 361/360 513/512]
: mapping generators: ~2, ~3


[[Gencom|Gencom mapping]]: [{{val|1 2 -1 0 0 0 0 3}}, {{val|0 -1 8 0 0 0 0 3}}]
{{Mapping|legend=3| 1 2 -1 0 0 0 0 3 | 0 -1 8 0 0 0 0 3 }}


[[Mapping|Sval mapping]]: [{{val|1 2 -1 3}}, {{val|0 -1 8 3}}]
: [[gencom]]: [2 4/3; 361/360 513/512]


[[Tp tuning|POL2 generator]]: ~3/2 = 701.746
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 701.746


{{Optimal ET sequence|legend=1| 12, 29, 41, 53, 118, 171 }}
{{Optimal ET sequence|legend=1| 12, 29, 41, 53, 118, 171 }}