Parapyth: Difference between revisions
→Edo tunings: don't see anywhere you can map 19 on the lattice. Anything about parapyth | magic should be discussed as sensamagic and anything 104edo-specific should go to the 104edo page |
→Tunings: discussion about 24-HTT and peppermint-24 |
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== Tunings == | == Tunings == | ||
The most important tuning for parapyth is that given by MET-24 (''milder extended temperament''): ~2/1 = 1\1, ~3/2 = 703.711, ~33/32 = 57.422. Another tuning is | The most important tuning for parapyth is that given by MET-24 (''milder extended temperament''): | ||
* ~2/1 = 1\1, ~3/2 = 703.711, ~33/32 = 57.422. | |||
Another tuning is derives from a 24-tone subset of George Secor's 29-HTT, thus a "24-HTT": | |||
* ~2/1 = 1\1, ~3/2 = 703.579, ~33/32 = 58.090. | |||
The fifth is in the 9th-secorian-comma tuning, which makes the augmented second of [[63/52]] pure. This fifth leads to an equal 3.247-cent error in [[9/8]] and 14/13 (63/52 = (9/8)(14/13)) and thus a possible minimax tuning for the no-5 13-odd-limit. The minor third is extremely close to just 13/11, only off by 1/3 harmonisma. The spacer is determined such that [[7/4]] is pure. | |||
Yet another possible tuning is that given by [[Peppermint-24]]: | |||
* ~2/1 = 1\1, ~3/2 = 704.096, ~33/32 = 58.680. | |||
The fifth leads to [[step ratio]] φ for the [[5L 7s|chromatic scale]] and the spacer tunes the 7/6 pure. | |||
=== Edo tunings === | === Edo tunings === | ||