User:Ganaram inukshuk/Models: Difference between revisions

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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).

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

Needs reorganizing.

== Chroma-diesis model of mos child scales (outdated) ==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: 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.

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=== 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"

! colspan="22" |Step Visualization (using ionian for comparison)

@@ Line 1: / Line 1: @@
 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).
-== Chroma-diesis model of mos child scales ==
+Needs reorganizing.
+== 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: 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.
@@ Line 295: / Line 301: @@
 === 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"
 ! colspan="22" |Step Visualization (using ionian for comparison)