User:Ganaram inukshuk/TAMEX: Difference between revisions

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:''This page assumes the reader is familiar with [[TAMNAMS]] mos names.''
Work-in-progress
:''This page assumes the reader is familiar with [[TAMNAMS]] mos names, mos prefixes, and step ratios.''
'''TAMEX''' (from '''''T'''emperament'''-A'''gnostic '''M'''oment-of-Symmetry Scale '''Ex'''tended Naming System''), originally devised by [[User:Frostburn|Frostburn]] and [[User:Ganaram inukshuk|Ganaram inukshuk]] as two separate naming schemes, is an extension to the mos pattern names provided by TAMNAMS. This scheme a means of describing how descendant scales (namely, chromatic and enharmonic mosses) with more than 10 steps relate back to smaller mosses and, to a lesser extent, what step ratios of the original mos is needed to produce that descendant mos. Additionally, it is a means of generalizing the notion of a [[chromatic scale]] to nondiatonic mosses.
 
== Types of descendant mosses ==
Using [[5L 2s]] (diatonic) as an example, a tree of mosses can be produced as a scale tree.
{| class="wikitable"
|+
!Root
!1st descendants
!2nd descendants
!3rd descendants
!4th descendants
|-
| rowspan="16" |5L 2s
| rowspan="8" |7L 5s
| rowspan="4" |7L 12s
| rowspan="2" |7L 19s
|7L 26s
|-
|26L 7s
|-
| rowspan="2" |19L 7s
|26L 19s
|-
|19L 26s
|-
| rowspan="4" |12L 7s
| rowspan="2" |19L 12s
|19L 31s
|-
|31L 19s
|-
| rowspan="2" |12L 19s
|19L 12s
|-
|12L 19s
|-
| rowspan="8" |5L 7s
| rowspan="4" |12L 5s
| rowspan="2" |12L 17s
|12L 29s
|-
|29L 12s
|-
| rowspan="2" |17L 12s
|29L 17s
|-
|17L 29s
|-
| rowspan="4" |5L 12s
| rowspan="2" |17L 5s
|17L 22s
|-
|22L 17s
|-
| rowspan="2" |5L 17s
|22L 5s
|-
|5L 22s
|}
 
== Naming scheme ==
 
== Specific names ==

Revision as of 21:06, 22 November 2023

Work-in-progress

This page assumes the reader is familiar with TAMNAMS mos names, mos prefixes, and step ratios.

TAMEX (from Temperament-Agnostic Moment-of-Symmetry Scale Extended Naming System), originally devised by Frostburn and Ganaram inukshuk as two separate naming schemes, is an extension to the mos pattern names provided by TAMNAMS. This scheme a means of describing how descendant scales (namely, chromatic and enharmonic mosses) with more than 10 steps relate back to smaller mosses and, to a lesser extent, what step ratios of the original mos is needed to produce that descendant mos. Additionally, it is a means of generalizing the notion of a chromatic scale to nondiatonic mosses.

Types of descendant mosses

Using 5L 2s (diatonic) as an example, a tree of mosses can be produced as a scale tree.

Root 1st descendants 2nd descendants 3rd descendants 4th descendants
5L 2s 7L 5s 7L 12s 7L 19s 7L 26s
26L 7s
19L 7s 26L 19s
19L 26s
12L 7s 19L 12s 19L 31s
31L 19s
12L 19s 19L 12s
12L 19s
5L 7s 12L 5s 12L 17s 12L 29s
29L 12s
17L 12s 29L 17s
17L 29s
5L 12s 17L 5s 17L 22s
22L 17s
5L 17s 22L 5s
5L 22s

Naming scheme

Specific names

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