Talk:Harmonisma
Name
Why are we calling this the "harmonisma"? Such a generic name seems to suggest it's "the comma of harmony", which is very misleading because there's hundreds of other commas that have an equally good claim to such a description. Who named it and why? —Keenan Pepper (talk) 19:34, 16 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. Mschulter1325 03:17, 9 November 2022 (UTC)
Diagram in monotype font
In this wiki, typewrite blocks can be added by starting each line with one white space. So the diagram by Margo Schulter would most probably look like this:
62.961c. 58.019c. 58.036c. 53.273c
28/27--------------121/117-----91/88--------------33/32
| 352/351. 10648/10647. 364/363. |
| 4.925. 0.163c. 4.763c. |
|--------------------- 896/891 -------------------|
9.688c
... another option is to enclose the preformatted text in <pre> tags.
-- Xenwolf (talk) 12:51, 10 November 2022 (UTC)