User:Ganaram inukshuk/Models - Revision history

ArrowHead294 at 14:09, 20 March 2025

2025-03-20T14:09:25Z

← Older revision		Revision as of 14:09, 20 March 2025
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	''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''		''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''

	''Note: the idea of [[~~Diatonic~~, ~~Chromatic~~, ~~Enharmonic~~, ~~Subchromatic~~\|diatonic, chromatic, enharmonic, and subchromatic scales]] also applies to this, as well as the smaller intervals of a [[Extended meantone notation\|chroma, diesis, and kleisma]]. I'd like to try to resurrect the ideas I independently tried to describe here as a temperament-agnostic interpretation of the two ideas described someday.''		''Note: the idea of [[diatonic, chromatic, enharmonic, subchromatic\|diatonic, chromatic, enharmonic, and subchromatic scales]] also applies to this, as well as the smaller intervals of a [[Extended meantone notation\|chroma, diesis, and kleisma]]. I'd like to try to resurrect the ideas I independently tried to describe here as a temperament-agnostic interpretation of the two ideas described someday.''

	This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.		This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.

Ganaram inukshuk: /* Chroma-diesis model of mos child scales (outdated) */ Found some more articles that described what I was trying to describe

2022-12-01T00:36:35Z

Chroma-diesis model of mos child scales (outdated): Found some more articles that described what I was trying to describe

← Older revision		Revision as of 00:36, 1 December 2022
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	== Chroma-diesis model of mos child scales (outdated) ==		== Chroma-diesis model of mos child scales (outdated) ==
	''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''		''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''

			''Note: the idea of [[Diatonic, Chromatic, Enharmonic, Subchromatic\|diatonic, chromatic, enharmonic, and subchromatic scales]] also applies to this, as well as the smaller intervals of a [[Extended meantone notation\|chroma, diesis, and kleisma]]. I'd like to try to resurrect the ideas I independently tried to describe here as a temperament-agnostic interpretation of the two ideas described someday.''

	This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.		This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.

Ganaram inukshuk: /* Chroma-diesis model of mos child scales (outdated) */ Better reworded note

2022-08-17T06:49:55Z

Chroma-diesis model of mos child scales (outdated): Better reworded note

← Older revision		Revision as of 06:49, 17 August 2022
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	== Chroma-diesis model of mos child scales (outdated) ==		== Chroma-diesis model of mos child scales (outdated) ==
	Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and ~~this~~ is left for archival purposes.		''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''

	This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.		This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.

Ganaram inukshuk: /* Chroma-diesis model of mos child scales */ Added note and link to an easier way to describe child scales

2022-08-17T06:48:18Z

Chroma-diesis model of mos child scales: Added note and link to an easier way to describe child scales

← Older revision		Revision as of 06:48, 17 August 2022
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	Needs reorganizing.		Needs reorganizing.

	== Chroma-diesis model of mos child scales ==		== Chroma-diesis model of mos child scales (outdated) ==
			Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and this is left for archival purposes.

	This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.		This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.

Ganaram inukshuk: Added a note that the page needs reorganizing

2022-07-25T20:55:19Z

Added a note that the page needs reorganizing

← Older revision		Revision as of 20:55, 25 July 2022
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	This page is for miscellaneous xen-related models for describing some facet of xenharmonic music theory that I've written about but don't have an exact place elsewhere on the wiki (yet).		This page is for miscellaneous xen-related models for describing some facet of xenharmonic music theory that I've written about but don't have an exact place elsewhere on the wiki (yet).

			Needs reorganizing.

	== Chroma-diesis model of mos child scales ==		== Chroma-diesis model of mos child scales ==

Ganaram inukshuk: /* 5L 7s, 5L 7s, 5L 12s, and 12L 5s */ Wording

2022-05-06T09:54:11Z

5L 7s, 5L 7s, 5L 12s, and 12L 5s: Wording

← Older revision		Revision as of 09:54, 6 May 2022
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	=== 5L 7s, 5L 7s, 5L 12s, and 12L 5s ===		=== 5L 7s, 5L 7s, 5L 12s, and 12L 5s ===
	The rules described above apply regardless of the step ratio of 5L 2s. Compared to soft step ratios, hard step ratios produce chromas that are larger than the small step. Still, the notion of describing child scales ~~as either~~ chromas or dieses can still be done here. First is the chain of scales that can be described by [[superpyth]] temperament: 5L 2s, 5L 7s, and 5L 12s. Here, the number of large steps stays constant, but shrink by a small step. Additionally, the size of the small step from 5L 2s is the same with successive scales. 22edo is used as an example below.		The rules described above apply regardless of the step ratio of 5L 2s. Compared to soft step ratios, hard step ratios produce chromas that are larger than the small step. Still, the notion of describing child scales using chromas or dieses can still be done here. First is the chain of scales that can be described by [[superpyth]] temperament: 5L 2s, 5L 7s, and 5L 12s. Here, the number of large steps stays constant, but shrink by a small step. Additionally, the size of the small step from 5L 2s is the same with successive scales. 22edo is used as an example below.
	{\| class="wikitable"		{\| class="wikitable"
	! colspan="22" \|Step Visualization (using ionian for comparison)		! colspan="22" \|Step Visualization (using ionian for comparison)

Ganaram inukshuk: /* Chroma-diesis model of mos child scales */ Rewritten to be less temperament-y

2022-05-06T09:53:08Z

Chroma-diesis model of mos child scales: Rewritten to be less temperament-y

Show changes

Ganaram inukshuk: /* Combined scale tree */

2022-05-05T07:53:19Z

Combined scale tree

← Older revision		Revision as of 07:53, 5 May 2022
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	=== Combined scale tree ===		=== Combined scale tree ===
	The past few sections arbitrarily had 31edo, 26edo, 22edo, and 29edo selected for the sake of example. It should be noted that other edos could have worked for these example. Combining these into a scale tree removes the notion of being locked to a specific edo and reveals a more common pattern.		The past few sections arbitrarily had 31edo, 26edo, 22edo, and 29edo selected for the sake of example. It should be noted that other edos could have worked for these example. Combining these into a scale tree removes the notion of being locked to a specific edo and reveals a more common pattern that's closer to the mos family tree. A few edos are included as being the equalized points of sister scale pairs.
	{\| class="wikitable"		{\| class="wikitable"
	! colspan="2" \|Parent scale		! colspan="2" \|Parent scale

Ganaram inukshuk: /* Chroma-diesis model of mos child scales */ Finished up describing the chroma-diesis model

2022-05-05T07:50:55Z

Chroma-diesis model of mos child scales: Finished up describing the chroma-diesis model

Show changes

Ganaram inukshuk: /* Chroma-diesis model of mos child scales */ Included flattone temperament and how its "diesis" is larger than the chroma

2022-05-05T06:50:38Z

Chroma-diesis model of mos child scales: Included flattone temperament and how its "diesis" is larger than the chroma

Show changes

← Older revision		Revision as of 14:09, 20 March 2025
Line 6:		Line 6:
	''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''		''Note: Much of the ideas here can be more [[User:Ganaram inukshuk/Notes#Describing moschromatic and mosenharmonic scales\|easily described]] without having to consider the size of a (mos)chroma or (mos)diesis, and was also conceived before I realized that TAMNAMS already described a mosdiesis. This description is left for archival purposes.''

	''Note: the idea of [[~~Diatonic~~, ~~Chromatic~~, ~~Enharmonic~~, ~~Subchromatic~~\|diatonic, chromatic, enharmonic, and subchromatic scales]] also applies to this, as well as the smaller intervals of a [[Extended meantone notation\|chroma, diesis, and kleisma]]. I'd like to try to resurrect the ideas I independently tried to describe here as a temperament-agnostic interpretation of the two ideas described someday.''		''Note: the idea of [[diatonic, chromatic, enharmonic, subchromatic\|diatonic, chromatic, enharmonic, and subchromatic scales]] also applies to this, as well as the smaller intervals of a [[Extended meantone notation\|chroma, diesis, and kleisma]]. I'd like to try to resurrect the ideas I independently tried to describe here as a temperament-agnostic interpretation of the two ideas described someday.''

	This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.		This is a description of how to look at the child scales of a [[MOS scale\|mos]] by looking at only the large and small steps of its parent mos. (It's also not well refined or proofread, hence it's a subpage of my userpage.) The motivation behind this comes from the notion of a [[chroma]] -- the interval that is defined as the difference between a mos's large and small steps -- and the [[diesis]], which can be defined as the difference between C# and Db in meantone temperaments.