User:Squib/Simple rank-2 temperaments by subgroup - Revision history

Squib at 22:14, 16 November 2025

2025-11-16T22:14:55Z

← Older revision		Revision as of 22:14, 16 November 2025
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	==5-limit==		==5-limit==
	===2.3.5===		===2.3.5===
			characterized by 8:9:10
	====Meantone====		====Meantone====
	The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.		The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.
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	Ploidacot: haploid monocot (1-0-1)		Ploidacot: haploid monocot (1-0-1)

	====~~Schismic aka helmholtz~~====		====restrictions====
	~~description~~		schismic, kleismic, magic

	~~debated on not including this~~, ~~but the extremely accurate 5-limit harmony makes up for the mild complexity. it's so nice on the ears~~

	==7-limit==		==7-limit==
Line 54:		Line 53:
	===2.3.13===		===2.3.13===
	===2.3.5.13===		===2.3.5.13===
			====kleismic====
	=no-twos=		=no-twos=
	==5-limit==		==5-limit==
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	==7-limit==		==7-limit==
	===2.5.7===		===2.5.7===
			didacus

			==11-limit==
			===2.5.11===
			===2.7.11===
			===2.5.7.11===
	=no-twos no-threes=		=no-twos no-threes=
	==7-limit==		==7-limit==

Squib at 17:55, 16 November 2025

2025-11-16T17:55:54Z

← Older revision		Revision as of 17:55, 16 November 2025
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	Commas: 81/80		Commas: 81/80

	Ploidacot: 1-0-1 ~~(haploid monocot~~)		Ploidacot: haploid monocot (1-0-1)

	====~~More complex temperaments~~====		====Schismic aka helmholtz====
	~~[[schismic]] aka helmholtz~~		description

			debated on not including this, but the extremely accurate 5-limit harmony makes up for the mild complexity. it's so nice on the ears

	==7-limit==		==7-limit==
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	====magic====		====magic====
	====extensions====		====extensions====
	septimal meantone, superpyth, ~~mothra, rodan~~		septimal meantone, mothra and rodan, superpyth?
			====restrictions====
			orwell, miracle
	==11-limit==		==11-limit==
	===2.3.11===		===2.3.11===
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	====leapfrog?====		====leapfrog?====
	===2.3.5.7.11===		===2.3.5.7.11===
			====miracle====
			====orwell====
			====extensions====
			squares, magic
			==13-limit==
			===2.3.13===
			===2.3.5.13===
	=no-twos=		=no-twos=
	==5-limit==		==5-limit==

Squib at 16:10, 16 November 2025

2025-11-16T16:10:22Z

← Older revision		Revision as of 16:10, 16 November 2025
Line 20:		Line 20:

	====More complex temperaments====		====More complex temperaments====
	[[schismic]] aka ~~hanson~~		[[schismic]] aka helmholtz

	==7-limit==		==7-limit==
	===2.3.7===		===2.3.7===
			characterized by 6:7:8:9, and therefore by 49/48 (the difference between 7/6 and 8/7) and 64/63 (the difference between 8/7 and 9/8).
			====64/63====
			====slendric====
	===2.3.5.7===		===2.3.5.7===
			====magic====
			====extensions====
			septimal meantone, superpyth, mothra, rodan
			==11-limit==
			===2.3.11===
			====rastmic====
			===2.3.5.11===
			characterized by 8:9:10:11:12
			====mohajira====
			====tetracot====
			====gravity====
			===2.3.7.11===
			====skwares====
			====leapfrog?====
			===2.3.5.7.11===

	=no-twos=		=no-twos=

Squib at 15:31, 16 November 2025

2025-11-16T15:31:24Z

← Older revision		Revision as of 15:31, 16 November 2025
Line 1:		Line 1:
	description		description
	==2.3.etc==		=2.3.etc=
	===3-limit===		==3-limit==
	====2.3====		===2.3===
	=====Pythagorean=====		====Pythagorean====
	Also known as 2.3 JI. It's a temperament in the same way that [[1edo]] is an edo.		Also known as 2.3 JI. It's a temperament in the same way that [[1edo]] is an edo.

Line 10:		Line 10:
	Ploidacot: 1-0-1 (haploid monocot)		Ploidacot: 1-0-1 (haploid monocot)

	===5-limit===		==5-limit==
	====2.3.5====		===2.3.5===
	=====Meantone=====		====Meantone====
	The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.		The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.

Line 19:		Line 19:
	Ploidacot: 1-0-1 (haploid monocot)		Ploidacot: 1-0-1 (haploid monocot)

	=====More complex temperaments=====		====More complex temperaments====
	[[schismic]] aka hanson		[[schismic]] aka hanson

	===7-limit===		==7-limit==
	====2.3.7====		===2.3.7===
	====2.3.5.7====		===2.3.5.7===

	==no-twos==		=no-twos=
	===5-limit===		==5-limit==
	====3.5====		===3.5===
	=====3.5 JI=====		====3.5 JI====
	description		description

	===7-limit===		==7-limit==
	====3.5.7====		===3.5.7===
	=====BPS=====		====BPS====
	description		description
	245/243		245/243

	==no-threes==		=no-threes=
	===5-limit===		==5-limit==
	====2.5====		===2.5===
	=====2.5 JI=====		====2.5 JI====
	description		description

	===7-limit===		==7-limit==
	====2.5.7====		===2.5.7===

	==no-twos no-threes==		=no-twos no-threes=
	===7-limit===		==7-limit==
	====5.7====		===5.7===
	=====5.7 JI=====		====5.7 JI====
	description		description

	===11-limit===		==11-limit==

Squib: Created page with "description ==2.3.etc== ===3-limit=== ====2.3==== =====Pythagorean===== Also known as 2.3 JI. It's a temperament in the same way that 1edo is an edo. Commas: none Ploidacot: 1-0-1 (haploid monocot) ===5-limit=== ====2.3.5==== =====Meantone===== The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo. Commas: 81/80 Ploidacot: 1-0-1 (haploid monocot)..."

2025-11-16T15:29:32Z

Created page with "description ==2.3.etc== ===3-limit=== ====2.3==== =====Pythagorean===== Also known as 2.3 JI. It's a temperament in the same way that 1edo is an edo. Commas: none Ploidacot: 1-0-1 (haploid monocot) ===5-limit=== ====2.3.5==== =====Meantone===== The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo. Commas: 81/80 Ploidacot: 1-0-1 (haploid monocot)..."

New page

description
==2.3.etc==
===3-limit===
====2.3====
=====Pythagorean=====
Also known as 2.3 JI. It's a temperament in the same way that [[1edo]] is an edo.

Commas: none

Ploidacot: 1-0-1 (haploid monocot)

===5-limit===
====2.3.5====
=====Meantone=====
The simplest and most natural 5-limit temperament. It's no wonder classical music has been using this for hundreds of years, although I wish it didn't devolve into 12edo.

Commas: 81/80

Ploidacot: 1-0-1 (haploid monocot)

=====More complex temperaments=====
[[schismic]] aka hanson

===7-limit===
====2.3.7====
====2.3.5.7====

==no-twos==
===5-limit===
====3.5====
=====3.5 JI=====
description

===7-limit===
====3.5.7====
=====BPS=====
description
245/243

==no-threes==
===5-limit===
====2.5====
=====2.5 JI=====
description

===7-limit===
====2.5.7====

==no-twos no-threes==
===7-limit===
====5.7====
=====5.7 JI=====
description

===11-limit===