Template talk:Ups and downs note name: Difference between revisions

Fredg999 (talk | contribs)
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TallKite (talk | contribs)
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This template starts on C, but most edo pages start on D. I believe this was chosen because D is in the middle of the circle of fifths (F-C-G-'''D'''-A-E-B), leading to the most symmetrical configuration. See also [[Ups and downs notation#Examples: EDOs 12-24]]. I suggest changing the starting note to D for this reason. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 02:18, 13 June 2023 (UTC)
This template starts on C, but most edo pages start on D. I believe this was chosen because D is in the middle of the circle of fifths (F-C-G-'''D'''-A-E-B), leading to the most symmetrical configuration. See also [[Ups and downs notation#Examples: EDOs 12-24]]. I suggest changing the starting note to D for this reason. --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 02:18, 13 June 2023 (UTC)
== Too many arrows ==
Very nice to see ups and downs note names being automated! But these note names aren't ideal. For example 57edo runs:
D ^D/vvEbb ^^D/vEbb D#/Ebb...
In general, I think the number of arrows should be minimized. Thus ^^D should be vD# and ^^D# should be vDx.
The note names for 57b-edo have up to 9 arrows, but only 5 are needed. The names should run:
D ^D/Eb ^^D/^Eb ^<sup>3</sup>D/^^Eb ^<sup>4</sup>D/^<sup>3</sup>Eb ^<sup>5</sup>D/^<sup>4</sup>Eb v<sup>4</sup>D#/v<sup>5</sup>E v<sup>3</sup>D#/v<sup>4</sup>E vvD#/v<sup>3</sup>E vD#/vvE D#/vE E
You might want to look at the Xen-calc code at github.com/m-yac/xen-calc.
--[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 20:52, 23 November 2023 (UTC)
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