Talk:Harmonisma: Difference between revisions
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: Maybe open a thread in the Facebook group? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 01:43, 18 June 2021 (UTC) | : Maybe open a thread in the Facebook group? [[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 01:43, 18 June 2021 (UTC) | ||
The harmonisma is named in honor of the harmoniai of Kathleen Schlesinger, since these have many superparticular steps of 14:13 and 13:12 and 12:11, and many intervals of 13:11 and 14:11. The context in which I came upon the harmonisma was, in 2002, when designing a just tuning called JOT-17 (Just Octachord Tuning) that modified an arithmetic series 28:27:26:25:24:23:22:21, a division of a 4:3 fourth typical of Schlesinger's approach and also of the diaphonic tunings of Erv Wilson, John Chalmers, and Kraig Grady, to 1/1-28/27-14/13-44/39-7/6-28/23-14/11-4/3, with 14:11 resulting from two near-equal tones at 44:39 and 273:242, which differ by the harmonisma (note that this division has seven adjacent steps or eight notes, thus the octachord of the Just Octachord Tuning or JOT). | |||
The harmonisma is tempered out in parapyth, along with 352/351 and 364/363, of which it is the difference, and also the product of 352/351 and 364/363, 896/891. | |||
[[User:Mschulter1325|Mschulter1325]] 03:17, 9 November 2022 (UTC) | |||