User:Ganaram inukshuk/TAMEX

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 mos descendants

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

Root mos	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	31L 12s
				12L 31s
	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