1776edo - Revision history

ArrowHead294 at 12:56, 21 February 2025

2025-02-21T12:56:09Z

← Older revision		Revision as of 12:56, 21 February 2025
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	In the 5-limit, it supports the [[squarschmidt]] temperament, tempering out the {{monzo\|61 4 -29}} comma, and it also tempers out {{monzo\|55 -64 -20}}, {{monzo\|6, 68, -49}}, {{monzo\|116, -60, -9}}.		In the 5-limit, it supports the [[squarschmidt]] temperament, tempering out the {{monzo\|61 4 -29}} comma, and it also tempers out {{monzo\|55 -64 -20}}, {{monzo\|6, 68, -49}}, {{monzo\|116, -60, -9}}.

	=== Prime harmonics ===		=== Prime harmonics ===
	{{harmonics in equal\|1776}}		{{harmonics in equal\|1776}}

	=== Subsets and supersets ===		=== Subsets and supersets ===
	Since 1776 factors as {{Factorization\|1776}}, it has subset edos {{EDOs\|1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888}}.		Since 1776 factors as {{Factorization\|1776}}, it has subset edos {{EDOs\|1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888}}.

Francium: changed EDO intro to ED intro

2025-02-21T05:52:01Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:52, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|1776~~}}		{{ED intro}}

	1776edo is [[consistent]] in the 15-odd-limit, and has good representation of it, with errors less than 26%. In the 2.5.7.11.13 subgroup, it is [[Saturation, torsion, and contorsion#Torsion and contorsion\|enfactored]] with the same mapping as [[888edo]], and corrects the latter's mapping for harmonic 3. A comma basis for the 13-limit is {4096/4095, 9801/9800, 67392/67375, 250047/250000, 531674/531441}.		1776edo is [[consistent]] in the 15-odd-limit, and has good representation of it, with errors less than 26%. In the 2.5.7.11.13 subgroup, it is [[Saturation, torsion, and contorsion#Torsion and contorsion\|enfactored]] with the same mapping as [[888edo]], and corrects the latter's mapping for harmonic 3. A comma basis for the 13-limit is {4096/4095, 9801/9800, 67392/67375, 250047/250000, 531674/531441}.

Eliora: Created page with "{{Infobox ET}} {{EDO intro|1776}} 1776edo is consistent in the 15-odd-limit, and has good representation of it, with errors less than 26%. In the 2.5.7.11.13 subgroup, it..."

2023-11-25T20:21:45Z

Created page with "{{Infobox ET}} {{EDO intro|1776}} 1776edo is consistent in the 15-odd-limit, and has good representation of it, with errors less than 26%. In the 2.5.7.11.13 subgroup, it..."

New page

{{Infobox ET}}
{{EDO intro|1776}}

1776edo is [[consistent]] in the 15-odd-limit, and has good representation of it, with errors less than 26%. In the 2.5.7.11.13 subgroup, it is [[Saturation, torsion, and contorsion#Torsion and contorsion|enfactored]] with the same mapping as [[888edo]], and corrects the latter's mapping for harmonic 3. A comma basis for the 13-limit is {4096/4095, 9801/9800, 67392/67375, 250047/250000, 531674/531441}.

In the 5-limit, it supports the [[squarschmidt]] temperament, tempering out the {{monzo|61 4 -29}} comma, and it also tempers out {{monzo|55 -64 -20}}, {{monzo|6, 68, -49}}, {{monzo|116, -60, -9}}.
=== Prime harmonics ===
{{harmonics in equal|1776}}
=== Subsets and supersets ===
Since 1776 factors as {{Factorization|1776}}, it has subset edos {{EDOs|1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888}}.