Canopic clan: Difference between revisions

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The ''gaster'' temperament (111&113) tempers out {{monzo|-70 72 -19}} (quadbila-negu) in the 5-limit; mirkwai comma (16875/16807) and [[skeetsma]] (14348907/14336000) in the 7-limit. The word "[[Wiktionary:gaster|gaster]]" means [[Wiktionary:abdomen|abdomen]] or [[Wiktionary:stomach|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is ~~enough~~ to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo|111]], [[113edo|113]] and [[224edo|224]] support it even in the 41-limit.

The ''gaster'' temperament (111&113) tempers out {{monzo|-70 72 -19}} (quadbila-negu) in the 5-limit; mirkwai comma (16875/16807) and [[skeetsma]] (14348907/14336000) in the 7-limit. The word "[[Wiktionary:gaster|gaster]]" means [[Wiktionary:abdomen|abdomen]] or [[Wiktionary:stomach|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is sufficient to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo|111]], [[113edo|113]] and [[224edo|224]] support it even in the 41-limit.

Subgroup: 2.3.5.7

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Badness: 0.021127

=== 17-limit ===

Subgroup: 2.3.5.7.11.13.17

Comma list: 375/374, 540/539, 625/624, 715/714, 2200/2197

Mapping: [{{val|1 -19 -7 -17 -28 -13 -13}}, {{val|0 53 24 51 81 43 44}}]

POTE generator: ~17/13 = 466.074

Optimal GPV sequence: {{Val list| 103, 121, 224 }}

Badness: 0.018611

[[Category:Regular temperament theory]]

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 {{main| Gaster temperament }}
-The ''gaster'' temperament (111&amp;113) tempers out {{monzo|-70 72 -19}} (quadbila-negu) in the 5-limit; mirkwai comma (16875/16807) and [[skeetsma]] (14348907/14336000) in the 7-limit. The word "[[Wiktionary:gaster|gaster]]" means [[Wiktionary:abdomen|abdomen]] or [[Wiktionary:stomach|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is enough to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo|111]], [[113edo|113]] and [[224edo|224]] support it even in the 41-limit.
+The ''gaster'' temperament (111&amp;113) tempers out {{monzo|-70 72 -19}} (quadbila-negu) in the 5-limit; mirkwai comma (16875/16807) and [[skeetsma]] (14348907/14336000) in the 7-limit. The word "[[Wiktionary:gaster|gaster]]" means [[Wiktionary:abdomen|abdomen]] or [[Wiktionary:stomach|stomach]], but also a restructuring of the words "gassormic tritone", which is a generator of this temperament. This temperament is sufficient to obtain high prime limit harmonics like a stomach, so that patent vals [[111edo|111]], [[113edo|113]] and [[224edo|224]] support it even in the 41-limit.
 Subgroup: 2.3.5.7
@@ Line 708: / Line 708: @@
 Badness: 0.021127
+=== 17-limit ===
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 375/374, 540/539, 625/624, 715/714, 2200/2197
+Mapping: [{{val|1 -19 -7 -17 -28 -13 -13}}, {{val|0 53 24 51 81 43 44}}]
+POTE generator: ~17/13 = 466.074
+Optimal GPV sequence: {{Val list| 103, 121, 224 }}
+Badness: 0.018611
 [[Category:Regular temperament theory]]