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]]