41L 12s - Revision history

Overthink: Cotoneum in scales and scale tree; grammar

2026-06-02T04:15:13Z

Cotoneum in scales and scale tree; grammar

← Older revision		Revision as of 04:15, 2 June 2026
Line 1:		Line 1:
	{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[~~pythagorean~~ comma]], and the small step is identified with the [[41-comma\|countercomp comma]].		{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[Pythagorean comma]], and the small step is identified with the [[41-comma\|countercomp comma]].
	[[Pythagorean tuning]] can generate this mos scale with a hardness of 1.1822. This mos scale is associated with sharper schismic temperaments and other very accurate fifth-based temperaments, like [[cassandra]], [[gary]], [[counterschismic]], [[cotoneum]], and others. It is known as '''pythomerc''' is [[TAMNAMS Extension]].		[[Pythagorean tuning]] can generate this mos scale with a hardness of 1.1822. This mos scale is associated with sharper schismic temperaments and other very accurate fifth-based temperaments, like [[cassandra]], [[gary]], [[counterschismic]], [[cotoneum]], and others. It is known as '''pythomerc''' in [[TAMNAMS Extension]].

	== Intervals ==		== Intervals ==
Line 7:		Line 7:
	== Scales ==		== Scales ==
	* [[Pythagorean53]]		* [[Pythagorean53]]
			* [[Cotoneum53]]

	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/5 = Pythagorean tuning (701.955{{c}})		\| 1/1 = [[Mercator]]
			\| 6/5 = [[Pythagorean tuning]] (701.955{{c}})
	\| 5/4 = [[Quasipyth]]		\| 5/4 = [[Quasipyth]]
	\| 2/1 = Garibaldi / [[cassandra]]		\| 2/1 = [[Garibaldi]] / [[cassandra]]
	\| 3/1 = [[Gary]]		\| 3/1 = [[Gary]]
	\| 1/1 = [[~~Mercator~~]]		\| 5/1 = [[Cotoneum]]
	}}		}}

FloraC: Review (no fractional-octave temps here)

2026-02-27T16:49:31Z

Review (no fractional-octave temps here)

← Older revision		Revision as of 16:49, 27 February 2026
Line 1:		Line 1:
	{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[pythagorean comma]], and the small step is identified with the [[41-comma\|countercomp comma]].		{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[pythagorean comma]], and the small step is identified with the [[41-comma\|countercomp comma]].
	[[Pythagorean tuning]] can generate this ~~MOS~~ scale with a hardness of 1.1822. This ~~MOS~~ scale is associated with sharper schismic temperaments and other very accurate fifth-based temperaments, like [[cassandra]], [[~~garischismic~~]], [[counterschismic]], [[cotoneum]], and others. It is ~~generally~~ known as '''pythomerc'''.		[[Pythagorean tuning]] can generate this mos scale with a hardness of 1.1822. This mos scale is associated with sharper schismic temperaments and other very accurate fifth-based temperaments, like [[cassandra]], [[gary]], [[counterschismic]], [[cotoneum]], and others. It is known as '''pythomerc''' is [[TAMNAMS Extension]].

	== Intervals ==		== Intervals ==
Line 6:		Line 6:

	== Scales ==		== Scales ==

	* [[Pythagorean53]]		* [[Pythagorean53]]

	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum\|6/5=Pythagorean tuning (701.~~955c~~)\|2/1=~~Garibaldi /~~ [[~~cassandra~~]]\|3/1=~~[[Gary]] / Gariwizmic~~ / [[~~Wizmic_microtemperaments#Cassawizmic\|Cassawizmic~~]]\|1/1=[[~~Mercator~~]]\|1~~/0=[[Countercomp]]\|5~~/1=[[~~Cotoneum]]\|5/4=[[Schismatic_family#Quasipyth\|Quasipyth~~]]}}		{{MOS tuning spectrum
			\| 6/5 = Pythagorean tuning (701.955{{c}})
			\| 5/4 = [[Quasipyth]]
			\| 2/1 = Garibaldi / [[cassandra]]
			\| 3/1 = [[Gary]]
			\| 1/1 = [[Mercator]]
			}}

Eufalesio: Gary better

2026-02-27T16:11:12Z

Gary better

← Older revision		Revision as of 16:11, 27 February 2026
Line 10:		Line 10:

	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum\|6/5=Pythagorean tuning (701.955c)\|2/1=Garibaldi / [[cassandra]]\|3/1=[[~~Garischismic~~]] / Gariwizmic / [[Wizmic_microtemperaments#Cassawizmic\|Cassawizmic]]\|1/1=[[Mercator]]\|1/0=[[Countercomp]]\|5/1=[[Cotoneum]]\|5/4=[[Schismatic_family#Quasipyth\|Quasipyth]]}}		{{MOS tuning spectrum\|6/5=Pythagorean tuning (701.955c)\|2/1=Garibaldi / [[cassandra]]\|3/1=[[Gary]] / Gariwizmic / [[Wizmic_microtemperaments#Cassawizmic\|Cassawizmic]]\|1/1=[[Mercator]]\|1/0=[[Countercomp]]\|5/1=[[Cotoneum]]\|5/4=[[Schismatic_family#Quasipyth\|Quasipyth]]}}

Eufalesio: Temp lay

2026-02-27T16:02:26Z

Temp lay

← Older revision		Revision as of 16:02, 27 February 2026
Line 1:		Line 1:
	{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[pythagorean comma]], and the small step is identified with the [[41-comma\|countercomp comma]]. [[Pythagorean tuning]] can generate this MOS scale with a hardness of 1.1822.		{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[pythagorean comma]], and the small step is identified with the [[41-comma\|countercomp comma]].
			[[Pythagorean tuning]] can generate this MOS scale with a hardness of 1.1822. This MOS scale is associated with sharper schismic temperaments and other very accurate fifth-based temperaments, like [[cassandra]], [[garischismic]], [[counterschismic]], [[cotoneum]], and others. It is generally known as '''pythomerc'''.

	== Intervals ==		== Intervals ==
Line 9:		Line 10:

	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum\|6/5=Pythagorean tuning (701.955c)\|2/1=Garibaldi / [[cassandra]]}}		{{MOS tuning spectrum\|6/5=Pythagorean tuning (701.955c)\|2/1=Garibaldi / [[cassandra]]\|3/1=[[Garischismic]] / Gariwizmic / [[Wizmic_microtemperaments#Cassawizmic\|Cassawizmic]]\|1/1=[[Mercator]]\|1/0=[[Countercomp]]\|5/1=[[Cotoneum]]\|5/4=[[Schismatic_family#Quasipyth\|Quasipyth]]}}

Eufalesio: Birth (TBA scales)

2025-12-08T22:26:37Z

Birth (TBA scales)

New page

{{Infobox MOS}}{{MOS intro}} Its [[chroma-positive]] generator is a almost-perfect fifth of no more than 31\53 (701.9{{cent}}), where the large step is identified with the [[pythagorean comma]], and the small step is identified with the [[41-comma|countercomp comma]]. [[Pythagorean tuning]] can generate this MOS scale with a hardness of 1.1822.

== Intervals ==
{{MOS intervals}}

== Scales ==

* [[Pythagorean53]]

== Scale tree ==
{{MOS tuning spectrum|6/5=Pythagorean tuning (701.955c)|2/1=Garibaldi / [[cassandra]]}}