Subgroup temperaments: Difference between revisions

Line 166:

Optimal tuning (subgroup POTE): ~9/7 = 438.607

~~Vals:~~ {{~~Val list~~| 8, 11, 30, 41, 52, 93, 145, 342bce }}

{{Optimal ET sequence|legend=1| 8, 11, 30, 41, 52, 93, 145, 342bce }}

RMS error: 1.226 cents

Line 400:

[[Mapping]]: [{{val|1 1 1}}, {{val|0 2 -1}}]

~~[[Val]]s:~~ 9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49

{{Optimal ET sequence|legend=1|9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49}}

-->

Line 414:

[[Mapping]]: [{{val|1 4 3}}, {{val|0 -5 -1}}]

~~[[Val]]s:~~ 8, 5[-7], 11[+7], 13[-7], 19[+7], 21[-7], 27[+7], 29[-7], 35[+7], 43[+7], 37[-7], 51[+7, +11], 45[-7], 59[+7, +11]

{{Optimal ET sequence|legend=1|8, 5[-7], 11[+7], 13[-7], 19[+7], 21[-7], 27[+7], 29[-7], 35[+7], 43[+7], 37[-7], 51[+7, +11], 45[-7], 59[+7, +11] }}

=== Doubleton ===

Line 425:

[[Mapping]]: [{{val|2 4 7}}, {{val|0 1 1}}]

~~[[Val]]s:~~ 6, 10, 16, 14[-13], 8[+7], 22, 18[-13], 26, 24[-13], 28[+7], 20[+7], 36[-13], 12[+7, +13], 34[-13]

{{Optimal ET sequence|legend=1|6, 10, 16, 14[-13], 8[+7], 22, 18[-13], 26, 24[-13], 28[+7], 20[+7], 36[-13], 12[+7, +13], 34[-13]}}

=== Auk ===

Line 436:

[[Mapping]]: [{{val|1 2 -2}}, {{val|0 1 3}}]

~~[[Val]]s:~~ 5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]

{{Optimal ET sequence|legend=1|5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]}}

[[Category:Subgroup temperaments| ]]

[[Category:Temperament clans]]

@@ Line 166: / Line 166: @@
 Optimal tuning (subgroup POTE): ~9/7 = 438.607
-Vals: {{Val list| 8, 11, 30, 41, 52, 93, 145, 342bce }}
+{{Optimal ET sequence|legend=1| 8, 11, 30, 41, 52, 93, 145, 342bce }}
 RMS error: 1.226 cents
@@ Line 400: / Line 400: @@
 [[Mapping]]: [{{val|1 1 1}}, {{val|0 2 -1}}]
-[[Val]]s: 9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49
+{{Optimal ET sequence|legend=1|9, 5, 13, 22, 14, 31, 17, 6[+5/4], 23, 40, 35, 21[-5/4], 19[+5/4], 49}}
 -->
@@ Line 414: / Line 414: @@
 [[Mapping]]: [{{val|1 4 3}}, {{val|0 -5 -1}}]
-[[Val]]s: 8, 5[-7], 11[+7], 13[-7], 19[+7], 21[-7], 27[+7], 29[-7], 35[+7], 43[+7], 37[-7], 51[+7, +11], 45[-7], 59[+7, +11]
+{{Optimal ET sequence|legend=1|8, 5[-7], 11[+7], 13[-7], 19[+7], 21[-7], 27[+7], 29[-7], 35[+7], 43[+7], 37[-7], 51[+7, +11], 45[-7], 59[+7, +11] }}
 === Doubleton ===
@@ Line 425: / Line 425: @@
 [[Mapping]]: [{{val|2 4 7}}, {{val|0 1 1}}]
-[[Val]]s: 6, 10, 16, 14[-13], 8[+7], 22, 18[-13], 26, 24[-13], 28[+7], 20[+7], 36[-13], 12[+7, +13], 34[-13]
+{{Optimal ET sequence|legend=1|6, 10, 16, 14[-13], 8[+7], 22, 18[-13], 26, 24[-13], 28[+7], 20[+7], 36[-13], 12[+7, +13], 34[-13]}}
 === Auk ===
@@ Line 436: / Line 436: @@
 [[Mapping]]: [{{val|1 2 -2}}, {{val|0 1 3}}]
-[[Val]]s: 5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]
+{{Optimal ET sequence|legend=1|5, 9, 13, 14, 6[+13], 17[-7, -13], 7[-7, -13], 22[-7], 19[+13], 23[+13], 11[+13], 21[-7, -13], 31[-7], 25[-7, -13]}}
 [[Category:Subgroup temperaments| ]] <!-- main article -->
 [[Category:Temperament clans]]