No-fives subgroup temperaments: Difference between revisions

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[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
== Navy ==
[[Subgroup]]: 2.3.7
[[Comma list]]: 282429536481/281974669312
{{Mapping|legend=2|1 1 0|0 5 24}}
[[Optimal tuning]] ([[CTE]]): ~[[2/1]] = 1200.000, ~243/224 = 140.371


== Archy ==
== Archy ==
Line 236: Line 227:


==== Byhearted ====
==== Byhearted ====
: <small>''For the full 19-limit version of this temperament, see [[Tetracot family #Byhearted]].''</small>
Subgroup: 2.3.7.11.19
Subgroup: 2.3.7.11.19


Line 700: Line 693:


Related temperaments: [[Tetracot family|monkey]], [[Schismatic family|sesquart]]
Related temperaments: [[Tetracot family|monkey]], [[Schismatic family|sesquart]]
== Navy ==
[[Subgroup]]: 2.3.7
[[Comma list]]: 282429536481/281974669312
{{Mapping|legend=1|1 1 0|0 5 24}}
[[Tp tuning|POL2 generator]]: ~243/224 = 140.366
{{Optimal ET sequence|legend=1| 17, 60, 77, 94, 171, 265, 436 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.0296 cents
Related temperaments: [[Schismatic family|tsaharuk]], [[Hemifamity temperaments|quanic]]
=== 2.3.7.11 ===
Subgroup: 2.3.7.11
[[Comma list]]: 1331/1323, 19712/19683
{{Mapping|legend=1|1 1 0 1|0 5 24 21}}
[[Tp tuning|POL2 generator]]: ~88/81 = 140.407
{{Optimal ET sequence|legend=1| 17, 60e, 77, 94, 359e, 453ee, 547ee, 641ee }}
[[Tp tuning #T2 tuning|RMS error]]: 0.3778 cents
Related temperaments: [[Schismatic family|tsaharuk]], [[Hemifamity temperaments|quanic]]
=== 2.3.7.11.13 ===
Subgroup: 2.3.7.11.13
[[Comma list]]: 352/351, 729/728, 1331/1323
{{Mapping|legend=1|1 1 0 1 3|0 5 24 21 6}}
[[Tp tuning|POL2 generator]]: ~13/12 = 140.437
{{Optimal ET sequence|legend=1| 17, 60e, 77, 94 }}
[[Tp tuning #T2 tuning|RMS error]]: 0.4044 cents
Related temperaments: [[Schismatic family|tsaharuk]], [[Hemifamity temperaments|quanic]]


== Hectosaros leap week ==
== Hectosaros leap week ==
Line 1,044: Line 1,082:
[[Optimal tuning]] (CTE): ~2 = 1\1, ~3/2 = 701.3288
[[Optimal tuning]] (CTE): ~2 = 1\1, ~3/2 = 701.3288


{{Optimal ET sequence|legend=1| 5, 7, 12, 41, 53, 65, 77, 219, 296, 1557bhhhh, 1853bhhhh }}
{{Optimal ET sequence|legend=1| 5, 7, 12, 41, 53, 65, 77, 219, 296 }}


[[Badness]]: 0.000374
[[Badness]]: 0.000374