32436edo - Revision history

Ganaram inukshuk at 08:33, 17 March 2025

2025-03-17T08:33:44Z

← Older revision		Revision as of 08:33, 17 March 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|32436~~}}		{{ED intro}}

	32436edo is consistent in the [[5-limit]], but only this far. However, it is useful as an interval size measure as it contains many notable EDOs, for example: {{EDOs\|12, 17, 34, 36, 53, 306, 612, 901, 954}}. It expands upon [[16218edo]] which it doubles, trading off consistency for greater amount of divisors.		32436edo is consistent in the [[5-limit]], but only this far. However, it is useful as an interval size measure as it contains many notable EDOs, for example: {{EDOs\|12, 17, 34, 36, 53, 306, 612, 901, 954}}. It expands upon [[16218edo]] which it doubles, trading off consistency for greater amount of divisors.

Eliora: /* Prime harmonics */

2025-02-26T20:37:29Z

Prime harmonics

← Older revision		Revision as of 20:37, 26 February 2025
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	=== Prime harmonics ===		=== Prime harmonics ===
	{{Harmonics in equal\|32436\|columns=20}}		{{Harmonics in equal\|32436\|columns=12}}
			{{Harmonics in equal\|32436\|columns=12\|start=13\|collapsed=1\|title=Approximation of prime harmonics in 32436edo (continued)}}

	=== Subsets and supersets ===		=== Subsets and supersets ===

Eliora: Created page with "{{Infobox ET}} {{EDO intro|32436}} 32436edo is consistent in the 5-limit, but only this far. However, it is useful as an interval size measure as it contains many notable..."

2025-02-26T20:36:44Z

Created page with "{{Infobox ET}} {{EDO intro|32436}} 32436edo is consistent in the 5-limit, but only this far. However, it is useful as an interval size measure as it contains many notable..."

New page

{{Infobox ET}}
{{EDO intro|32436}}

32436edo is consistent in the [[5-limit]], but only this far. However, it is useful as an interval size measure as it contains many notable EDOs, for example: {{EDOs|12, 17, 34, 36, 53, 306, 612, 901, 954}}. It expands upon [[16218edo]] which it doubles, trading off consistency for greater amount of divisors.

Other than that, harmonically, by 15% error cutoff it is a strong 2.5.11.17 subgroup tuning, and by 20% cutoff, 32436edo is a satisfactory 2.3.5.11.17.37.53.71 subgroup tuning.

=== Prime harmonics ===
{{Harmonics in equal|32436|columns=20}}

=== Subsets and supersets ===
32436edo has subset edos {{EDOs|1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 53, 68, 102, 106, 153, 159, 204, 212, 306, 318, 477, 612, 636, 901, 954, 1802, 1908, 2703, 3604, 5406, 8109, 10812, 16218}}.

Its abundancy index is approximately 1.73, which may not be as impressive as [[highly composite EDOs]], but 32436edo has a high density of xenharmonically notable EDOs, which opens up potentials for it being used as an interval size measure or a MIDI tuning unit.
{{Stub}}