Syntonic–chromatic equivalence continuum: Difference between revisions

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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 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.
Enipucrop corresponds to ''n'' = 3/2 and ''m'' = 3, and can be described as the 6b & 7 temperament. Its name is ''porcupine'' spelled backwards, because that is 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.


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{{See also| Porwell temperaments #Absurdity }}
{{See also| Porwell temperaments #Absurdity }}


The 5-limit 7&amp;84 temperament, so named because it truly is an absurd temperament. The generator is 81/80 and the period is 800/729, which is (10/9) / (81/80). This is also part of the syntonic-chromatic equivalence continuum, in this case where (81/80)<sup>5</sup> = 25/24.
Absurdity corresponds to ''n'' = 7, and can be described as the 77 &amp; 84 temperament, so named because it truly is an absurd temperament. The generator is ~81/80 and the period is ~800/729, which is (10/9) / (81/80).  


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{{See also| Keemic temperaments #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.
Sevond is a fairly obvious temperament; it just equates a stack of seven ~10/9's with ~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 corresponds to ''n'' = 7/2 and ''m'' = 7/5 and can be described as the 56 & 63 temperament.  


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== Seville ==
== Seville ==
This is similar to the above, but provides a less complex avenue to 5, but this time at the cost of accuracy. One generator from 5\7 puts you at 3/2, and one generator from 2\7 puts you at 5/4.
Seville is similar to sevond, but provides a less complex avenue to 5, but this time at the cost of accuracy. One generator from 5\7 puts you at ~3/2, and one generator from 2\7 puts you at ~5/4. This corresponds to ''n'' = 7/3 and ''m'' = 7/4.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5