Syntonic–chromatic equivalence continuum: Difference between revisions

Cleanup
Cleanup
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== Enipucrop ==
== Enipucrop ==
The 5-limit 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is - it's porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.
The 5-limit 6b&7 temperament. Its name is "porcupine" spelled backwards, because that's what this temperament is – it is porcupine, with the generator sharp of 2\7 such that the major and minor thirds switch places. The fifths are very flat, meaning that this is more of a melodic temperament than a harmonic one.


Subgroup: 2.3.5
Subgroup: 2.3.5
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[[Mapping]]: [{{val| 7 0 -17 }}, {{val| 0 1 3 }}]
[[Mapping]]: [{{val| 7 0 -17 }}, {{val| 0 1 3 }}]


[[POTE generator]]: ~10/9 = 185.901 cents
[[POTE generator]]: ~10/9 = 185.901


{{Val list|legend=1| 7, 70, 77, 84, 329 }}
{{Val list|legend=1| 7, 70, 77, 84, 329 }}
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== Sevond ==
== Sevond ==
{{See also| Keemic temperaments #Sevond }}
This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.
This is a fairly obvious temperament; it just equates 7 10/9's with a 2/1, hence the period is 10/9. One generator from 5\7 puts you at 3/2, two generators from 2\7 puts you at 5/4.


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[[Mapping]]: [{{val| 7 0 -6 }}, {{val| 0 1 2 }}]
[[Mapping]]: [{{val| 7 0 -6 }}, {{val| 0 1 2 }}]


[[POTE generator]]: ~3/2 = 706.288 cents
[[POTE generator]]: ~3/2 = 706.288


{{Val list|legend=1| 7, 42, 49, 56, 119 }}
{{Val list|legend=1| 7, 42, 49, 56, 119 }}


[[Badness]]: 0.339335
[[Badness]]: 0.339335
=== 7-limit ===
Adding 875/864 to the commas extends this to the 7-limit:
Subgroup: 2.3.5.7
[[Comma list]]: 875/864, 327680/321489
[[Mapping]]: [{{val| 7 0 -6 53 }}, {{val| 0 1 2 -3 }}]
[[POTE generator]]: ~3/2 = 705.613
{{Val list|legend=1| 7, 56, 63, 119 }}
[[Badness]]: 0.206592


== Seville ==
== Seville ==
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[[Category:7edo]]
[[Category:7edo]]
[[Category:Theory]]
[[Category:Regular temperament theory]]
[[Category:Temperament]]
[[Category:Temperament collection]]
[[Category:Equivalence continua]]
[[Category:Equivalence continua]]