Peppermint-24: Difference between revisions
Add subsets section to document nice sounding ones I found in Scale Workshop just now (the reason I'm suddenly interested in peppermint is that it looks like to win the may 2025 Monthly Tuning poll on Facebook) |
m bold subject matter, add links to Margo Schulter and superparticular |
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Peppermint 24 is a scale first documented by Margo Schulter on the Yahoo tuning forum: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_38440.html#38440 M. Schulter (7/3/2002 3:51:43 AM)] | '''Peppermint 24''' is a [[scale]] first documented by [[Margo Schulter]] on the Yahoo tuning forum: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_38440.html#38440 M. Schulter (7/3/2002 3:51:43 AM)] | ||
==Concept== | ==Concept== | ||
Peppermint 24 aims to map superparticular and other ratios within [[wikipedia:Harry_Partch|Harry Partch's]] larger 17-limit set, to two conventional piano keyboards. | Peppermint 24 aims to map [[superparticular]] and other ratios within [[wikipedia:Harry_Partch|Harry Partch's]] larger [[17-limit]] set, to two conventional piano keyboards. | ||
It takes as its basis a [[Regular_Temperaments|regular temperament]] mentioned in [[Erv_Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 [[Cent|cents]], and a precise ratio of [[wikipedia:Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents. Said fifth has a precise value of (67 + √5)/118 octaves, which is (40200 + 600 √5)/59 cents. | It takes as its basis a [[Regular_Temperaments|regular temperament]] mentioned in [[Erv_Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 [[Cent|cents]], and a precise ratio of [[wikipedia:Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents. Said fifth has a precise value of (67 + √5)/118 octaves, which is (40200 + 600 √5)/59 cents. | ||