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Carlos alpha beta gamma
Posted: Fri Feb 19, 2021 10:04 am
by cmloegcmluin
Has anyone ever had thoughts on how to notate ED3/2 scales like Carlos's alpha, beta, or gamma scales? If you wanted to use standard notation (5-lined staff w/ FCGDAEB) then I suppose you could just pick the closest EDO and notate it the same way, knowing the octave was stretched.
Re: Carlos alpha beta gamma
Posted: Fri Feb 19, 2021 11:15 am
by herman.miller
In my Sagittal notes I've got "proposed" notations for Alpha and Beta, but I don't remember the context in which those were "proposed". It looks like they're being treated as 11-limit temperaments. An alternative notation for beta is just using 19-EDO notation.
Carlos Alpha (proposed)
0 1/1 D
1 21/20 D)/||
2 12/11 E\!/
3 8/7 E|)
4 6/5 F/|
5 5/4 F||\
6 21/16 G!)
7 11/8 G/|\
8 10/7 A)\!!
9 3/2 A
Carlos Beta (proposed)
0 1/1 D
1 28/27 D|\\
2 27/25 E~~!!
3 28/25 E~!(
4 81/70 E/|)
5 6/5 F/|
6 5/4 F||\
7 35/27 G\!)
8 75/56 G~|(
9 G~~||
10 81/56 A!//
11 3/2 A
I've also previously associated Alpha with valentine temperament (15p&16p) and Beta with sycamore temperament (18p&19p), but I don't have sagittal notations for those temperaments.