Kite's color notation/Temperament names: Difference between revisions

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Color notation can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7, excluding any ratio that is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/440. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus zzggT refers to tempering out the next largest ratio, 784/675 = 259¢.

[[Color notation]] can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7, excluding any ratio that is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/440. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus zzggT refers to tempering out the next largest ratio, 784/675 = 259¢.

If the comma is the 2nd largest valid ratio in the row segment, the temperament name ends with "2". For example, [[Schismatic]] is LyT and [[Mavila]] is LyT2. Likewise, LyT3 would temper out the 3rd largest ratio. Any comma ≤ 90¢ is guaranteed to be the smallest ratio in its segment.

Revision as of 23:32, 15 January 2019 view source TallKite (talk \| contribs) autopatrolled, Sysops 3,990 edits No edit summary Tag: Visual edit ← Older edit		Revision as of 23:32, 15 January 2019 view source TallKite (talk \| contribs) autopatrolled, Sysops 3,990 edits No edit summary Tag: Visual edit Newer edit →
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	Color notation can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7, excluding any ratio that is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/440. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus zzggT refers to tempering out the next largest ratio, 784/675 = 259¢.		[[Color notation]] can name every regular temperament. The name is the same as that of the comma(s) tempered out, but without the degree (unison, 2nd, etc.). The color defines a lattice row and the magnitude (large, small, etc.) defines a '''segment''' of that row. Each segment contains 7 ratios. The comma that is tempered out is assumed to be the smallest in cents of those 7, excluding any ratio that is a multiple of another comma. For example, the smallest ratio in the central segment of the zozogugu row is 441/440. But since this is (21/20)<sup>2</sup>, tempering it out would simply result in zgT. Thus zzggT refers to tempering out the next largest ratio, 784/675 = 259¢.

	If the comma is the 2nd largest valid ratio in the row segment, the temperament name ends with "2". For example, [[Schismatic]] is LyT and [[Mavila]] is LyT2. Likewise, LyT3 would temper out the 3rd largest ratio. Any comma ≤ 90¢ is guaranteed to be the smallest ratio in its segment.		If the comma is the 2nd largest valid ratio in the row segment, the temperament name ends with "2". For example, [[Schismatic]] is LyT and [[Mavila]] is LyT2. Likewise, LyT3 would temper out the 3rd largest ratio. Any comma ≤ 90¢ is guaranteed to be the smallest ratio in its segment.