12L 17s - Revision history

FloraC: No fractional-octave temps here

2026-02-27T17:32:09Z

No fractional-octave temps here

← Older revision		Revision as of 17:32, 27 February 2026
Line 1:		Line 1:
	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro}}		{{MOS intro}}
	Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459. It is known as '''pythagotonic'''.		Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459. It is known as '''pythagotonic''' in [[TAMNAMS Extension]].

	== Intervals ==		== Intervals ==
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	\| 3/1 = Garibaldi / [[helenus]]		\| 3/1 = Garibaldi / [[helenus]]
	\| 10/3 = [[Pontiac]]		\| 10/3 = [[Pontiac]]
	\| 6/1 = [[Grackle]], ↓ [[gracecordial]]		\| 6/1 = [[Grackle]], ↓ [[gracecordial]]
	~~\|1/1=[[Mystery]]\|1/0=[[Compton]] / [[Catler]]\|2/1=[[Countercomp]]}}~~		}}

	~~{{todo\|expand~~}}

2026-02-27T17:15:59Z

More temps in scale tree

← Older revision		Revision as of 17:15, 27 February 2026
Line 1:		Line 1:
	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro}}		{{MOS intro}}
	Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459.		Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459. It is known as '''pythagotonic'''.

	== Intervals ==		== Intervals ==
Line 18:		Line 18:
	\| 10/3 = [[Pontiac]]		\| 10/3 = [[Pontiac]]
	\| 6/1 = [[Grackle]], ↓ [[gracecordial]]		\| 6/1 = [[Grackle]], ↓ [[gracecordial]]
	}}		\|1/1=[[Mystery]]\|1/0=[[Compton]] / [[Catler]]\|2/1=[[Countercomp]]}}

	{{todo\|expand}}		{{todo\|expand}}

2025-12-08T23:42:04Z

Scale tree

2025-12-08T22:49:52Z

Proposed adding the hardness of Pythagorean tuning with this MOS and subsequent ones

← Older revision		Revision as of 22:49, 8 December 2025
Line 1:		Line 1:
	{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro}}		{{MOS intro}}
	Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.		Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3. [[Pythagorean tuning]] generates this scale, with a hardness of 2.8459.

	== Intervals ==		== Intervals ==

2025-02-28T16:42:55Z

2024-12-15T07:06:53Z

== Intervals == {{MOS intervals}}

← Older revision		Revision as of 07:06, 15 December 2024
Line 2:		Line 2:
	{{MOS intro}}		{{MOS intro}}
	Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.		Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

			== Intervals ==
			{{MOS intervals}}

	== Scale tree ==		== Scale tree ==
Line 16:		Line 19:
	6/1: [[Grackle]], ↓ [[gracecordial]];		6/1: [[Grackle]], ↓ [[gracecordial]];
	}}		}}

			{{todo\|expand}}

2024-12-02T14:16:45Z

Scale tree: +++

2024-02-29T19:21:23Z

Scale tree: Replaced scale tree

2024-02-03T21:06:22Z

Mos intro

← Older revision		Revision as of 21:06, 3 February 2024
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	{{Infobox MOS		{{Infobox MOS}}
	~~\| Other names =~~		{{MOS intro}}
	~~\| Periods = 1~~		Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.
	~~\| nLargeSteps = 12~~
	~~\| nSmallSteps = 17~~
	~~\| Equalized = 12~~
	~~\| Collapsed = 5~~
	~~\| Pattern = LsLsLssLsLssLsLsLssLsLssLsLss~~
	}}
	~~The '''12L 17s''' [[MOS scale]] splits the small steps 1-1-2-1-2-1-1-2-1-2-1-2 between the large steps.~~ Its [[chroma-positive]] generator is a near-perfect fourth of no more than 5\12 (500{{cent}}), and 53edo falls near the beginning of its boundary of "practicality" and its harmonic entropy minimum of exactly 4/3.

	== Scale tree ==		== Scale tree ==

2022-08-17T09:21:46Z

← Older revision		Revision as of 09:21, 17 August 2022
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	\| nSmallSteps = 17		\| nSmallSteps = 17
	\| Equalized = 12		\| Equalized = 12
	\| ~~Paucitonic~~ = 5		\| Collapsed = 5
	\| Pattern = LsLsLssLsLssLsLsLssLsLssLsLss		\| Pattern = LsLsLssLsLssLsLsLssLsLssLsLss
	}}		}}