16 Edo

William Lynch
Posts: 45
Joined: Mon Sep 21, 2015 9:27 pm

16 Edo

Postby William Lynch » Tue Nov 08, 2016 12:34 am

How do u notate 16 edo in sagittal?

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Dave Keenan
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Re: 16 Edo

Postby Dave Keenan » Tue Nov 08, 2016 1:28 am

With its best (native) fifth, 16-edo has tone = 2 steps, apotome = -1 step, limma = 3 steps.

Because the apotome (a chain of 7 fifths) is negative, we can't use sharps or flats in a native-fifth notation for it.

Here are 4 options. [Edit: Updated to include my latest simplified-EDO-notation proposal]

16-edo using native fifth (as in the XH article):
D D:)||(: D:|||):
E:!!!): E:)!!(: E E:)||(: E:|||):
F:!!!): F:)!!(: F

16-edo using 12-edo fifth, as a subset of 48-edo (the alternative in the XH article):
D D:#::!~: D:#::/|\: D:x::|~:
E:bb: E:b::!~: E:\!/: E:|~: E:#:
F:bb::!~: F:b::\!/: F:b::|~: F

16edo using native fifth and previously-proposed limma-fraction symbols:
D D:)|): D:)/|\:
E:)!): E E:)|): E:)/|\:
F:)\!/: F:)!): F

16edo using native fifth and my currently-proposed limma-fraction symbols:
D D:|): D:/|\:
E:!): E E:|): E:/|\:
F:\!/: F:!): F


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