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Catalog of rank-4 temperaments: Difference between revisions

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Generators: ~2, ~3, ~5, ~7
Generators: ~2, ~3, ~5, ~7


{{Val list|legend=1| 22, 31, 41, 53, 58, 72, 80, 130, 152 }}
{{Val list|legend=1| 8d, 9, 10, 12e, 14c, 17c, 19, 22, 27e, 31, 41, 53, 58, 72, 130, 152, 224, 354, 506e, 578, 730de, 761d, 985d, 1115de, 1267dde }}


=== Commas 540/539, 847/845 ===
=== Commas 540/539, 847/845 ===
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Generators: ~2, ~3, ~5, ~13/11
Generators: ~2, ~3, ~5, ~13/11


{{Val list|legend=1| 9, 41, 50, 53, 58, 94, 103, 111 }}
{{Val list|legend=1| 8d, 9, 12e, 17c, 32f, 33cd, 36ce, 41, 53, 58, 94, 103, 111, 152f, 255, 407f }}


=== Commas 540/539, 625/624 ===
=== Commas 540/539, 625/624 ===
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Generators: ~2, ~3, ~5, ~7
Generators: ~2, ~3, ~5, ~7


{{Val list|legend=1| 19, 31, 50, 53, 72, 103, 121, 224 }}
{{Val list|legend=1| 19, 22, 31, 49f, 50, 53, 72, 103, 121, 152f, 193, 224 }}


=== Commas 540/539, 676/675 ===
=== Commas 540/539, 676/675 ===
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Generators: ~2, ~26/15, ~5, ~7
Generators: ~2, ~26/15, ~5, ~7


{{Val list|legend=1| 9, 19, 53, 58, 63, 72, 111, 121, 130, 183 }}
{{Val list|legend=1| 9, 10, 14cf, 19, 33cdff, 39df, 48c, 49, 53, 58, 72, 111, 121, 130, 183, 251e, 304d, 376, 434de }}


== Lehmerismic (3025/3024) ==
== Lehmerismic (3025/3024) ==
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Generators: ~2, ~3, ~5, ~55/36
Generators: ~2, ~3, ~5, ~55/36


{{Val list|legend=1| 31, 72, 118, 152, 224, 270, 311, 342, 494, 612 }}
{{Val list|legend=1| 7d, 8d, 10, 15, 23de, 24d, 26, 31, 41, 65d, 72, 118, 152, 224, 270, 342, 612, 836, 1106, 1448, 2554, 4002e, 5720e, 7168cee }}


== Kalismic (9801/9800) ==
== Kalismic (9801/9800) ==
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Generators: ~99/70, ~3, ~5, ~7
Generators: ~99/70, ~3, ~5, ~7


{{Val list|legend=1| 270, 342, 494, 612, 764, 836, 1106, 1236, 1578, 1848 }}
{{Val list|legend=1| 8d, 10, 12, 22, 34d, 46, 58, 72, 118, 130, 152, 224, 270, 342, 612, 836, 1084, 1106, 1236, 1506, 1578, 1848, 2684, 4038, 4190, 4532, 11254, 15786e, 21896e }}


=== Commas 1716/1715, 2080/2079 ===
=== Commas 1716/1715, 2080/2079 ===
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* [[13-odd-limit|13-]] and [[15-odd-limit]]
* [[13-odd-limit|13-]] and [[15-odd-limit]]
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 7/10 4/5 0 -2/5 0 1/5 }}, {{monzo| 7/10 -1/5 1 -2/5 0 1/5 }}, {{monzo| 7/5 -2/5 0 1/5 0 2/5 }}, {{monzo| 11/5 -11/5 1 3/5 0 1/5 }}, {{monzo| 0 0 0 0 0 1 }}]
: [{{monzo| 1 0 0 0 0 0 }}, {{monzo| 7/10 4/5 0 -2/5 0 1/5 }}, {{monzo| 7/10 -1/5 1 -2/5 0 1/5 }}, {{monzo| 7/5 -2/5 0 1/5 0 2/5 }}, {{monzo| 11/5 -11/5 1 3/5 0 1/5 }}, {{monzo| 0 0 0 0 0 1 }}]
: Eigenmonzos: 2, 6/5, 16/13, 9/7
: [[Eigenmonzo]]s: 2, 6/5, 16/13, 9/7


{{Val list|legend=1| 26, 36, 46, 58, 68, 72, 84, 94, 130, 140, 166, 198, 224, 270, 494, 764, 1186, 1892 }}
{{Val list|legend=1| 10e, 12f, 14cf, 22f, 26, 36ce, 46, 58, 72, 130, 198, 224, 270, 494, 764, 1258, 1810d, 2304d, 2574d }}


[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
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