Yourmusic Productions: Fix math error.

2025-05-11T10:23:08Z

Fix math error.

← Older revision		Revision as of 10:23, 11 May 2025
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	{{Lumatone mapping intro}} The second best 5th is diatonic, but ~~sharper than~~ [[27edo]] and covers less than half the notes. The third best produces 5 unconnected rings of [[26edo]] 5ths.		{{Lumatone mapping intro}} The second best 5th is diatonic, but almost as sharp as [[27edo]] and covers less than half the notes. The third best produces 5 unconnected rings of [[26edo]] 5ths.

	== Diatonic ==		== Diatonic ==

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{{Lumatone mapping intro}} The second best 5th is diatonic, but sharper than [[27edo]] and covers less than half the notes. The third best produces 5 unconnected rings of [[26edo]] 5ths.

== Diatonic ==
{{Lumatone EDO mapping|n=130|start=28|xstep=24|ystep=-19}}

There is an alternate diatonic scale that makes 5-limit chords easy to play, but it has a slight octave stretch. Since you can access nearly every note in alternating octaves, this may actually be advantageous.
{{Lumatone EDO mapping|n=130|start=120|xstep=21|ystep=-8}}

Slicing both the generator and period in two will cover most of the notes in a fairly accessible way, but with range reduced to 2 & 1/2 octaves.
{{Lumatone EDO mapping|n=130|start=2|xstep=11|ystep=-6}}

== Harry ==
If you want to put the best tuned harmonies close together, the [[harry]] mapping is the most efficient one. The [[14L 2s]] mapping covers the whole gamut with a range of 2 octaves.
{{Lumatone EDO mapping|n=130|start=20|xstep=9|ystep=-7}}

Since you only need a gamut of 54 notes to hit all harmonics up to 17, you can compress it down to the [[2L 6s]] mapping and still have access to all the well-tuned simple ratios of the edo.
{{Lumatone EDO mapping|n=130|start=63|xstep=9|ystep=29}}

{{Navbox Lumatone}}

Lumatone mapping for 130edo - Revision history

Yourmusic Productions: Fix math error.

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