Horwell temperaments: Difference between revisions

Line 1:

Horwell temperaments temper out the horwell comma, {{monzo|-16 1 5 1}} = 65625/65536.

== Mutt ==

Line 126:

[[Mapping]]: [{{val| 1 5 1 6 }}, {{val| 0 -31 12 -29 }}]

[[POTE generator]]s: ~3375/3136 = 132.1845

[[POTE generator]]: ~3375/3136 = 132.1845

[[Badness]]: 0.~~183~~

[[Badness]]: 0.183435

=== 11-limit ===

Subgroup: 2.3.5.7.11

[[Comma list]]: 385/384, 3388/3375, 12005/11979

Comma list: 385/384, 3388/3375, 12005/11979

[[Mapping]]: [{{val| 1 5 1 6 5 }}, {{val| 0 -31 12 -29 -14 }}]

Mapping: [{{val| 1 5 1 6 5 }}, {{val| 0 -31 12 -29 -14 }}]

[[POTE generator~~]]s~~: ~121/112 = 132.1864

POTE generator: ~121/112 = 132.1864

Vals: {{Val list| 109, 118, 345de, 463de, 581dde }}

[[Badness]]: 0.~~0527~~

Badness: 0.052693

=== 13-limit ===

Subgroup: 2.3.5.7.11.13

[[Comma list]]: 169/168, 364/363, 385/384, 3388/3375

Comma list: 169/168, 364/363, 385/384, 3388/3375

[[Mapping]]: [{{val| 1 5 1 6 5 7 }}, {{val| 0 -31 12 -29 -14 -30 }}]

Mapping: [{{val| 1 5 1 6 5 7 }}, {{val| 0 -31 12 -29 -14 -30 }}]

[[POTE generator~~]]s~~: ~13/12 = 132.1789

POTE generator: ~13/12 = 132.1789

Vals: {{Val list| 109, 118f, 227f }}

[[Badness]]: 0.~~0467~~

Badness: 0.046695

== Oquatonic ==

@@ Line 1: / Line 1: @@
 Horwell temperaments temper out the horwell comma, {{monzo|-16 1 5 1}} = 65625/65536.
-Discussed elsewhere are [[Hemimage temperaments|bisupermajor]], [[Kleismic family|countercata]], [[Mirkwai clan|eris]], [[Escapade family|escaped]], [[Hemimean clan|hemithirds]], [[Diaschismic family|keen]], [[Semicomma family|orwell]], [[Amity family|paramity]], [[Schismatic family|pontiac]], [[Breedsmic temperaments|tertiaseptal]], and [[Würschmidt family|worschmidt]].
+Discussed elsewhere are [[Hemimage temperaments|bisupermajor]], [[Kleismic family|countercata]], [[Mirkwai clan|eris]], [[Escapade family|escaped]], [[Hemimean clan|hemithirds]], [[Diaschismic family|keen]], [[Vishnuzmic family|narayana]], [[Semicomma family|orwell]], [[Amity family|paramity]], [[Schismatic family|pontiac]], [[Breedsmic temperaments|tertiaseptal]], and [[Würschmidt family|worschmidt]].
 == Mutt ==
@@ Line 126: / Line 126: @@
 [[Mapping]]: [{{val| 1 5 1 6 }}, {{val| 0 -31 12 -29 }}]
-[[POTE generator]]s: ~3375/3136 = 132.1845
+[[POTE generator]]: ~3375/3136 = 132.1845
 {{Val list|legend=1| 109, 118, 345d }}
-[[Badness]]: 0.183
+[[Badness]]: 0.183435
 === 11-limit ===
 Subgroup: 2.3.5.7.11
-[[Comma list]]: 385/384, 3388/3375, 12005/11979
+Comma list: 385/384, 3388/3375, 12005/11979
-[[Mapping]]: [{{val| 1 5 1 6 5 }}, {{val| 0 -31 12 -29 -14 }}]
+Mapping: [{{val| 1 5 1 6 5 }}, {{val| 0 -31 12 -29 -14 }}]
-[[POTE generator]]s: ~121/112 = 132.1864
+POTE generator: ~121/112 = 132.1864
-{{Val list|legend=1| 109, 118, 345de, 463de, 581dde }}
+Vals: {{Val list| 109, 118, 345de, 463de, 581dde }}
-[[Badness]]: 0.0527
+Badness: 0.052693
 === 13-limit ===
 Subgroup: 2.3.5.7.11.13
-[[Comma list]]: 169/168, 364/363, 385/384, 3388/3375
+Comma list: 169/168, 364/363, 385/384, 3388/3375
-[[Mapping]]: [{{val| 1 5 1 6 5 7 }}, {{val| 0 -31 12 -29 -14 -30 }}]
+Mapping: [{{val| 1 5 1 6 5 7 }}, {{val| 0 -31 12 -29 -14 -30 }}]
-[[POTE generator]]s: ~13/12 = 132.1789
+POTE generator: ~13/12 = 132.1789
-{{Val list|legend=1| 109, 118f, 227f }}
+Vals: {{Val list| 109, 118f, 227f }}
-[[Badness]]: 0.0467
+Badness: 0.046695
 == Oquatonic ==