Subgroup temperaments: Difference between revisions

Lériendil (talk | contribs)
added all the fractional-subgroup temps from Chromatic pairs
Lériendil (talk | contribs)
moved in a few temperaments that are descended from 2.5/3.7/3 sirius
Line 910: Line 910:
[[Tp tuning #T2 tuning|RMS error]]: 2.396 cents
[[Tp tuning #T2 tuning|RMS error]]: 2.396 cents


=== Indium ===
 
=== Gariberttet ===
==== Gariberttet (2.5/3.7/3.13/11 subgroup) ====
{{See also | Chromatic pairs #Gariberttet }}
 
Gariberttet can be described as the 4 & 29 temperament in the 2.5/3.7/3.13/11 subgroup.
 
[[Subgroup]]: 2.5/3.7/3.13/11
 
[[Comma list]]: [[275/273]], [[847/845]]
 
{{Mapping|legend=2| 1 0 0 0 | 0 3 5 1 }}
 
{{Mapping|legend=3| 1 0 0 0 0 0 | 0 -8/3 1/3 7/3 -1/2 1/2 }}
 
: [[gencom]]: [2 13/11; 275/273 847/845]
 
[[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~13/11 = 293.679
 
{{Optimal ET sequence|legend=1| 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd }}
 
[[Tp tuning #T2 tuning|RMS error]]: 0.6914 cents
 
==== Indium ====
{{See also | Chromatic pairs #Indium }}
{{See also | Chromatic pairs #Indium }}


Line 931: Line 954:
[[Tp tuning #T2 tuning|RMS error]]: 0.7788 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.7788 cents


=== Semidim ===
==== Semidim ====
{{See also| Chromatic pairs #Semidim }}
{{See also| Chromatic pairs #Semidim }}


Line 951: Line 974:


[[Tp tuning #T2 tuning|RMS error]]: 1.052 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.052 cents
=== Gariberttet ===
{{See also | Chromatic pairs #Gariberttet }}
Gariberttet can be described as the 4 & 29 temperament in the 2.5/3.7/3.13/11 subgroup.
[[Subgroup]]: 2.5/3.7/3.13/11
[[Comma list]]: [[275/273]], [[847/845]]
{{Mapping|legend=2| 1 0 0 0 | 0 3 5 1 }}
{{Mapping|legend=3| 1 0 0 0 0 0 | 0 -8/3 1/3 7/3 -1/2 1/2 }}
: [[gencom]]: [2 13/11; 275/273 847/845]
[[Optimal tuning]] ([[Tp tuning|subgroup]] [[POTE]]): ~2 = 1\1, ~13/11 = 293.679
{{Optimal ET sequence|legend=1| 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd }}
[[Tp tuning #T2 tuning|RMS error]]: 0.6914 cents


=== Sentry ===
=== Sentry ===