Metric microtemperaments: Difference between revisions

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== Luminal ==

Luminal ~~tempers out~~ the [[~~meter comma~~|~~meter~~]] and ~~the~~ [[~~lux comma|~~lux]] ~~in the 7-limit~~, [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit.

Luminal is the intersection of [[Meter|metric]] and [[lux]], tempering out [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit.

Subgroup: 2.3.5.7

[[Subgroup]]: 2.3.5.7

[[Comma list]]: 703125/702464, 26843545600/26795786661

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[[POTE ~~generator~~]]: ~8505/8192 = 65.5883

[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8505/8192 = 65.5883

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Mapping: [{{val| 1 0 5 8 1 }}, {{val| 0 29 -49 -95 45 }}]

POTE ~~generator~~: ~80/77 = 65.5881

Optimal tuning (POTE): ~2 = 1\1, ~80/77 = 65.5881

Optimal GPV sequence: {{val list| 55d, 128, 183, 311, 494, 1299, 1793, 2287d }}

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Mapping: [{{val| 1 0 5 8 1 -1 }}, {{val| 0 29 -49 -95 45 86 }}]

POTE ~~generator~~: ~27/26 = 65.5883

Optimal tuning (POTE): ~2 = 1\1, ~27/26 = 65.5883

Optimal GPV sequence: {{val list| 128, 183, 311, 494, 1299, 1793 }}

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Mapping: [{{val| 1 0 5 8 1 -1 6 }}, {{val| 0 29 -49 -95 45 86 -35 }}]

POTE ~~generator~~: ~27/26 = 65.5878

Optimal tuning (POTE): ~2 = 1\1, ~27/26 = 65.5878

Optimal GPV sequence: {{val list| 128, 183, 311, 494 }}

@@ Line 15: / Line 15: @@
 == Luminal ==
-Luminal tempers out the [[meter comma|meter]] and the [[lux comma|lux]] in the 7-limit, [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit.
+Luminal is the intersection of [[Meter|metric]] and [[lux]], tempering out [[3025/3024]] in the 11-limit, [[2080/2079]], [[4096/4095]] in the 13-limit, and [[1156/1155]] and [[2601/2600]] in the 17-limit.
-Subgroup: 2.3.5.7
+[[Subgroup]]: 2.3.5.7
 [[Comma list]]: 703125/702464, 26843545600/26795786661
@@ Line 25: / Line 25: @@
 {{Multival|legend=1| 29 -49 -95 -145 -232 -82 }}
-[[POTE generator]]: ~8505/8192 = 65.5883
+[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8505/8192 = 65.5883
 {{Val list|legend=1| 55d, 128, 183, 311, 494, 1299, 1793 }}
@@ Line 38: / Line 38: @@
 Mapping: [{{val| 1 0 5 8 1 }}, {{val| 0 29 -49 -95 45 }}]
-POTE generator: ~80/77 = 65.5881
+Optimal tuning (POTE): ~2 = 1\1, ~80/77 = 65.5881
 Optimal GPV sequence: {{val list| 55d, 128, 183, 311, 494, 1299, 1793, 2287d }}
@@ Line 51: / Line 51: @@
 Mapping: [{{val| 1 0 5 8 1 -1 }}, {{val| 0 29 -49 -95 45 86 }}]
-POTE generator: ~27/26 = 65.5883
+Optimal tuning (POTE): ~2 = 1\1, ~27/26 = 65.5883
 Optimal GPV sequence: {{val list| 128, 183, 311, 494, 1299, 1793 }}
@@ Line 64: / Line 64: @@
 Mapping: [{{val| 1 0 5 8 1 -1 6 }}, {{val| 0 29 -49 -95 45 86 -35 }}]
-POTE generator: ~27/26 = 65.5878
+Optimal tuning (POTE): ~2 = 1\1, ~27/26 = 65.5878
 Optimal GPV sequence: {{val list| 128, 183, 311, 494 }}