Comparisons of similar tunings: Difference between revisions
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This page is intended to show the differences between multiple tunings that have a major purpose in common. | This page is intended to show the differences between multiple tunings that have a major purpose in common. | ||
== 22edo, 27edo, 37edo == | |||
22 and 27edo are comparable because both are good representations of Superpyth temperament, but neither is obviously better. 37 is the obvious edo for Ultrapyth, which is tuned similarly to 22edo due to Porcupine. | 22 and 27edo are comparable because both are good representations of Superpyth temperament, but neither is obviously better. 37 is the obvious edo for Ultrapyth, which is tuned similarly to 22edo due to Porcupine. | ||
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37edo has all 5.7.11.13 but the 3 is the sharpest so 7/6 and 9/7 are bad, the 81/80 is huge, but there are a bunch of unusual temperaments | 37edo has all 5.7.11.13 but the 3 is the sharpest so 7/6 and 9/7 are bad, the 81/80 is huge, but there are a bunch of unusual temperaments | ||
== 37edo and 57edo == | |||
37 and 57edo are comparable because both miss one or two low primes and are very accurate for several primes after. For most purposes, 37edo has the advantage because it is significantly smaller and has a good 5, which simplifies the choices in how to approximate 4:5:6. Most composers don't have much use for primes above 13 anyway. However, its accurate primes are 2.5.7.11.13, whereas 57edo manages 2.7.11.13.17.19.23.29.37. 57edo also contains 19edo as a subset, which simplifies the somewhat difficult learning curve present in 37edo. | |||
Revision as of 21:30, 24 December 2025
This page is intended to show the differences between multiple tunings that have a major purpose in common.
22edo, 27edo, 37edo
22 and 27edo are comparable because both are good representations of Superpyth temperament, but neither is obviously better. 37 is the obvious edo for Ultrapyth, which is tuned similarly to 22edo due to Porcupine.
22edo has 5/4, 9/7, and 11/8; neutral seconds (Porcupine). It also supports Pajara.
27edo has 6/5, 7/4, and 13/8
Both have 7/6
37edo has all 5.7.11.13 but the 3 is the sharpest so 7/6 and 9/7 are bad, the 81/80 is huge, but there are a bunch of unusual temperaments
37edo and 57edo
37 and 57edo are comparable because both miss one or two low primes and are very accurate for several primes after. For most purposes, 37edo has the advantage because it is significantly smaller and has a good 5, which simplifies the choices in how to approximate 4:5:6. Most composers don't have much use for primes above 13 anyway. However, its accurate primes are 2.5.7.11.13, whereas 57edo manages 2.7.11.13.17.19.23.29.37. 57edo also contains 19edo as a subset, which simplifies the somewhat difficult learning curve present in 37edo.
