15ed4: Difference between revisions
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{{Infobox ET| | {{Infobox ET|1ed1840616/1678131}} | ||
'''15ED4''' is the [[Ed4|equal division of the double octave]] into 15 parts of 160 [[cent|cents]] each (every second step of [[15edo]]). | '''15ED4''' is the [[Ed4|equal division of the double octave]] into 15 parts of 160 [[cent|cents]] each (every second step of [[15edo]]). | ||
Revision as of 04:03, 2 May 2023
| ← 0ed1840616/1678131 | 1ed1840616/1678131 | 2ed1840616/1678131 → |
15ED4 is the equal division of the double octave into 15 parts of 160 cents each (every second step of 15edo).
Lookalikes: 12edt
Basics
15ED4 is a macrotonal tuning system that divides the double octave (4/1) into 15 equally spaced pitches each 160 cents apart. It can be viewed as a subset of 15 EDO that repeats at two octaves rather than one. It has a big xen appeal as it is nonoctave but at the same time contains the double octave allowing for a sort of best of both worlds approach. 15ED4 doesn't do Just Intonation well for the most part but it does represent 7/4 and 11/10 rather well, so it can be viewed as a 3.4.7.10.11 subgroup temperament tempering out 28/27, 49/48, 55/54, and 77/75 (as well as 12EDT).
MOS Scales
There are a variety of Mos scales available. William Lynch considers the symmetrical MOS: LsLsLsLs to be the most consonant scale in 15ED4. There is also a LsLLsLLLs scale which is more spacey sounding than the symmetrical MOS. The symmetrical MOS can be harmonized with c