15900edo - Revision history

BudjarnLambeth at 06:10, 9 July 2023

2023-07-09T06:10:09Z

← Older revision		Revision as of 06:10, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.		The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.

BudjarnLambeth at 04:14, 9 July 2023

2023-07-09T04:14:05Z

← Older revision		Revision as of 04:14, 9 July 2023
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	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.		The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.

Eliora: /* Theory */ oops

2023-01-18T14:17:20Z

Theory: oops

← Older revision		Revision as of 14:17, 18 January 2023
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	== Theory ==		== Theory ==
	15900edo tempers out the [[magnetisma]] in the 2.3.29.43 subgroup. It is consistent in the 23-odd-limit and has 10% or less errors on prime harmonics 3, 6, 11, 13, 19, 29, 41, 47, 53, 59, 71.		15900edo tempers out the [[magnetisma]] in the 2.3.29.43 subgroup. It is consistent in the 23-odd-limit and has 10% or less errors on prime harmonics 3, 7, 11, 13, 19, 29, 41, 47, 53, 59, 71.

	=== Divisors ===		=== Divisors ===

Eliora: /* Theory */

2023-01-18T14:15:45Z

Theory

← Older revision		Revision as of 14:15, 18 January 2023
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	== Theory ==		== Theory ==
	~~, and this temperament also~~ tempers out the [[magnetisma]].		15900edo tempers out the [[magnetisma]] in the 2.3.29.43 subgroup. It is consistent in the 23-odd-limit and has 10% or less errors on prime harmonics 3, 6, 11, 13, 19, 29, 41, 47, 53, 59, 71.

	=== Divisors ===		=== Divisors ===
	15900edo has subset EDOs 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950.		15900edo has subset EDOs {{EDOs\|1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950}}.

	A single step of 15900edo is the [[relative cent]] of [[159edo]].		A single step of 15900edo is the [[relative cent]] of [[159edo]].

Eliora at 14:13, 18 January 2023

2023-01-18T14:13:39Z

← Older revision		Revision as of 14:13, 18 January 2023
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	== Theory ==		== Theory ==
	~~A single step of 15900edo is the fine relative cent of [[159edo]]~~, and this temperament also tempers out the [[magnetisma]].		, and this temperament also tempers out the [[magnetisma]].

			=== Divisors ===
			15900edo has subset EDOs 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 150, 159, 212, 265, 300, 318, 530, 636, 795, 1060, 1325, 1590, 2650, 3180, 3975, 5300, 7950.

			A single step of 15900edo is the [[relative cent]] of [[159edo]].

			=== Prime harmonics ===
	{{Harmonics in equal\|15900}}		{{Harmonics in equal\|15900}}

	[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

Aura at 18:18, 22 December 2022

2022-12-22T18:18:21Z

← Older revision		Revision as of 18:18, 22 December 2022
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	{{Harmonics in equal\|15900}}		{{Harmonics in equal\|15900}}

	[[Category:Equal divisions of the octave\|####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|#####]] <!-- 5-digit number -->

Aura at 15:56, 10 December 2022

2022-12-10T15:56:06Z

← Older revision		Revision as of 15:56, 10 December 2022
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	== Theory ==		== Theory ==
	A single step of 15900edo is the fine relative cent of [[159edo]], and this temperament also tempers out the magnetisma.		A single step of 15900edo is the fine relative cent of [[159edo]], and this temperament also tempers out the [[magnetisma]].

	{{Harmonics in equal\|15900}}		{{Harmonics in equal\|15900}}

	[[Category:Equal divisions of the octave\|####]] <!-- 5-digit number -->		[[Category:Equal divisions of the octave\|####]] <!-- 5-digit number -->

Aura: Created page with "{{Infobox ET}} The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temp..."

2022-12-08T16:14:31Z

Created page with "{{Infobox ET}} The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temp..."

New page

{{Infobox ET}}
The '''15900 equal divisions of the octave''', or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.

== Theory ==
A single step of 15900edo is the fine relative cent of [[159edo]], and this temperament also tempers out the magnetisma.

{{Harmonics in equal|15900}}

[[Category:Equal divisions of the octave|####]]