Porcusmine: Difference between revisions
→Tunings: added 41edo |
elaborated on the 5-limit AGS interpretation |
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!Other notes | !Other notes | ||
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|JI (5-limit interpretation) | |JI (5-limit AGS interpretation) | ||
|2.581:1.885:1 | |2.581:1.885:1 | ||
|just 3/2, 6/5, 5/4, 9/8, and 10/9 | |just 3/2, 6/5, 5/4, 9/8, and 10/9 | ||
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== 5-limit AGS interpretation == | |||
Porcusmine can be interpreted as a member of an [[AGS]] series AGS(9/5, 50/27), which is [[constant structure]] at 5, 6, 7, 8, 15, 23, 38, 61, and 99 notes. It is noteworthy for an AGS series to retain constant structure to this size. | |||
In this AGS interpretation, Whothic is the "root mode" of Porcusmine. The 5-limit tuning of Whothic generated by AGS(9/5, 50/27) is: | |||
1/1 25/24 125/108 5/4 25/18 3/2 5/3 9/5 2/1 | |||
In this tuning, the interval 25/18 occurs frequently, and the scale could be more consonant by tempering out [[126/125]] to equate this interval with 7/5. | |||
[[Category:8-tone scales]] | [[Category:8-tone scales]] | ||
[[Category:19edo]] | [[Category:19edo]] | ||