User:Ganaram inukshuk/TAMEX: Difference between revisions
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{{Mbox|text=This article is | {{Mbox|text=This article is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS Extension]]}} | ||
:''This page assumes the reader is familiar with [[TAMNAMS]] mos names, mos prefixes, and step ratios.'' | :''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'''tension Description 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 is a means of describing how mosses with more than 10 steps (namely, chromatic and enharmonic mosses) relate to smaller, TAMNAMS-named mosses and, to a lesser extent, what step ratio produces that descendant mos. Additionally, it is a means of generalizing the notion of a [[chromatic scale]] to nondiatonic mosses. | '''TAMEX''' (from '''''T'''emperament'''-A'''gnostic '''M'''oment-of-Symmetry Scale '''Ex'''tension Description 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 is a means of describing how mosses with more than 10 steps (namely, chromatic and enharmonic mosses) relate to smaller, TAMNAMS-named mosses and, to a lesser extent, what step ratio produces that descendant mos. Additionally, it is a means of generalizing the notion of a [[chromatic scale]] to nondiatonic mosses. | ||
Despite looking like a naming system, what TAMEX provides are ''descriptions'' of descendant mosses that relate to a single, TAMNAMS-named mos. Hence, "names" for mosses are | Despite looking like a naming system, what TAMEX provides are ''descriptions'' of descendant mosses that relate to a single, TAMNAMS-named mos. Hence, "names" for mosses under this system are more general than typical mos names, as these phrases can refer to multiple mosses. | ||
== Description scheme for TAMNAMS-named mosses == | == Description scheme for TAMNAMS-named mosses == | ||
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With 5L 2s as the root mos: | With 5L 2s as the root mos: | ||
* There are 2 chromatic | * There are 2 1st-order descendants, chromatic scales, or specifically '''diachromatic''' scales: 7L 5s and 5L 7s | ||
* There are 4 enharmonic | * There are 4 2nd-order descendants, enharmonic scales, or specifically '''diamonic''' scales: 7L 12s, 12L 7s, 12L 5s, and 5L 12s | ||
* There are 8 subchromatic | * There are 8 3rd-order descendants, subchromatic scales, or specifically '''diasubchromatic''' scales: 7L 19s, 19L 7s, 19L 12s, 12L 19s, 12L 17, 17L 12s, 17L 5s, and 5L 17s. | ||
Each successive generation has twice as many mosses than the last, but all mosses within the same generation all share the same name: | Each successive generation has twice as many mosses than the last, but all mosses within the same generation all share the same name: | ||
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* There are 16 4th-order descendants, or '''4th-order diadescendant''' scales''.'' | * There are 16 4th-order descendants, or '''4th-order diadescendant''' scales''.'' | ||
* There are 32 5th-order descendants, or '''5th-order diadescendant''' scales. | * There are 32 5th-order descendants, or '''5th-order diadescendant''' scales. | ||
* There are 2 to the ''k''th power ''k''th-order descendants, or '''''k''th-order diadescendant''' scales. | * There are 2<sup>k</sup> (2 to the ''k''th power) ''k''th-order descendants, or '''''k''th-order diadescendant''' scales. | ||
Step ratios ranges can be added to these descriptions, as shown. | Step ratios ranges can be added to these descriptions, as shown. | ||
{| class="wikitable" | {| class="wikitable" | ||
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|5L 22s | |5L 22s | ||
|} | |} | ||