User:Ganaram inukshuk/TAMEX - Revision history

Ganaram inukshuk at 07:24, 1 December 2023

2023-12-01T07:24:10Z

← Older revision		Revision as of 07:24, 1 December 2023
Line 1:		Line 1:
	{{Mbox\|text=This article is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS Extension]]}}		{{Mbox\|text=This article is a work-in-progress, '''proposed rewrite''' of the following page: [[TAMNAMS Extension]] and [[User:Ganaram inukshuk/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.

Ganaram inukshuk: Made examples its own section

2023-11-30T06:57:17Z

Made examples its own section

← Older revision		Revision as of 06:57, 30 November 2023
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	\|}		\|}

	=== ~~Example: descendants~~ of 5L 2s ===		== Examples ==
			=== Descendants of 5L 2s ===
	The descendants of 5L 2s can be organized as a scale tree, as shown.		The descendants of 5L 2s can be organized as a scale tree, as shown.
	{\| class="wikitable"		{\| class="wikitable"

Ganaram inukshuk at 06:55, 30 November 2023

2023-11-30T06:55:57Z

← Older revision		Revision as of 06:55, 30 November 2023
Line 1:		Line 1:
	{{Mbox\|text=This article is ~~'''being created or~~ in ~~the process of being rewritten'''~~, ~~and is~~ '''~~not yet ready for use~~'''.}}		{{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 ~~meant to be as~~ general ~~as possible~~, as ~~some~~ phrases can refer to multiple 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 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 ==
Line 208:		Line 208:
	\|}		\|}
	With 5L 2s as the root mos:		With 5L 2s as the root mos:
	* There are 2 chromatic ~~descendants~~, or '''diachromatic''' scales: 7L 5s and 5L 7s		* There are 2 1st-order descendants, chromatic scales, or specifically '''diachromatic''' scales: 7L 5s and 5L 7s
	* There are 4 enharmonic ~~descendants~~, or '''diamonic''' scales: 7L 12s, 12L 7s, 12L 5s, and 5L 12s		* 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 ~~descendants~~, or '''diasubchromatic''' scales: 7L 19s, 19L 7s, 19L 12s, 12L 19s, 12L 17, 17L 12s, 17L 5s, and 5L 17s.		* 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:
Line 216:		Line 216:
	* 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"
Line 307:		Line 307:
	\|5L 22s		\|5L 22s
	\|}		\|}
	~~== Additional temperament-agnostic mos names ==~~

Ganaram inukshuk: Added generation-count algorithm; rewording

2023-11-27T08:28:42Z

Added generation-count algorithm; rewording

← Older revision		Revision as of 08:28, 27 November 2023
Line 1:		Line 1:
	{{Mbox\|text=This article is '''being created or in the process of being rewritten''', and is '''not yet ready for use'''.}}		{{Mbox\|text=This article is '''being created or in the process of being rewritten''', and is '''not yet ready for use'''.}}
	:''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 ~~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.		'''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 meant to be as general as possible ~~and~~ can refer to ~~more than one mos~~.		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 meant to be as general as possible, as some phrases can refer to multiple mosses.

	== Description scheme for TAMNAMS-named mosses ==		== Description scheme for TAMNAMS-named mosses ==
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	* The grandchild scale of a mos is an ''enharmonic'' mos.		* The grandchild scale of a mos is an ''enharmonic'' mos.
	* The great-grandchild scale of a ''subchromatic'' mos.		* The great-grandchild scale of a ''subchromatic'' mos.
	* ~~In general~~, ~~a mos that is a~~ ''k''~~th descendant~~ of a named mos ~~is a ''~~k''th descendant.		* For great-great-grandchild mosses and beyond, the term ''descendant'' is used. Optionally, the number of generations between a named mos and descendant mos can be provided to produce the term k''th-order descendant.''

	Descriptions can take on one of two forms: a description as two words, or a single word bearing the mos's prefix. Which one to be used is up the user and whichever form is best ~~depending on context. In the case of ''k''th descendants, the ordinal value ''k''th can be omitted to refer to any or all descendant mosses,~~ depending on context.		Descriptions can take on one of two forms: a description as two words, or a single word bearing the mos's prefix. Which one to be used is up the user and whichever form is best depending on context.
	{\| class="wikitable"		{\| class="wikitable"
	\|+Base descriptions		\|+Base descriptions
Line 39:		Line 39:
	\|(''k''th-order) ''mosprefix''-descendant		\|(''k''th-order) ''mosprefix''-descendant
	\|}		\|}

			=== Calculating the number of generations for ''k''th-order descendants ===
			For a mos ''x''L ''y''s, where ''x''+''y'' is greater than 10:

			# Let ''z'' and ''w'' be the number of large and small steps of the parent mos to be found. Assign to ''z'' and ''w'' the values ''x'' and ''y'' respectively. Let ''k'' = 0, where ''k'' is the number of generations away from ''z''L ''w''s.
			# Let ''m1'' be equal to max(''z'', ''w'') and ''m2'' be equal to min(''z'', ''w'').
			# Assign the value ''m2'' to ''z'' and value ''m1''-''m2'' to ''w''. Increment ''n'' by 1.
			# If the sum of ''z'' and ''w'' is no more than 10, then the parent mos is ''z''L ''w''s, where ''x''L ''y''s is a ''k''th-order descendant of ''z''L ''w''s. If not, repeat the process starting at step 2.

	=== Step ratio descriptions ===		=== Step ratio descriptions ===
	Optionally, the names for a step ratio range, describing the step ratio of the root mos, can be added before these descriptions, either as a single word or prefix. Any step ratio range can be used for 4th-order descendants and beyond, as context allows.		Optionally, the names for a step ratio range, describing the step ratio of the root mos, can be added before these descriptions, either as a single word or prefix. Any step ratio range can be used for 4th-order descendants and beyond, as context allows.
Line 71:		Line 80:
	\| rowspan="4" \|(x+y)L xs		\| rowspan="4" \|(x+y)L xs
	\| rowspan="4" \|1:1 to 2:1		\| rowspan="4" \|1:1 to 2:1
	\| rowspan="4" \|soft		\| rowspan="4" \|soft-of-basic
	\| rowspan="4" \|s-		\| rowspan="4" \|s-
	\| rowspan="2" \|(x+y)L (2x+y)s		\| rowspan="2" \|(x+y)L (2x+y)s
Line 103:		Line 112:
	\| rowspan="4" \|xL (x+y)s		\| rowspan="4" \|xL (x+y)s
	\| rowspan="4" \|2:1 to 1:0		\| rowspan="4" \|2:1 to 1:0
	\| rowspan="4" \|hard		\| rowspan="4" \|hard-of-basic
	\| rowspan="4" \|h-		\| rowspan="4" \|h-
	\| rowspan="2" \|(2x+y)L xs		\| rowspan="2" \|(2x+y)L xs

Ganaram inukshuk: Added mbox

2023-11-27T05:33:55Z

Added mbox

← Older revision		Revision as of 05:33, 27 November 2023
Line 1:		Line 1:
	~~Work-~~in~~-progress~~		{{Mbox\|text=This article is '''being created or in the process of being rewritten''', and is '''not yet ready for use'''.}}
	:''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 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.		'''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 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.

Ganaram inukshuk: kth-descendant -> kth-order descendant

2023-11-26T05:25:57Z

kth-descendant -> kth-order descendant

← Older revision		Revision as of 05:25, 26 November 2023
Line 20:		Line 20:
	!Base mos		!Base mos
	!Chromatic mosses		!Chromatic mosses
	(1st descendants)		(1st-order descendants)
	!Enharmonic mosses		!Enharmonic mosses
	(2nd descendants)		(2nd-order descendants)
	!Subchromatic mosses		!Subchromatic mosses
	(3rd descendants)		(3rd-order descendants)
	!''k''th descendant mosses		!''k''th-order descendant mosses
	\|-		\|-
	\|''mos-name''		\|''mos-name''
Line 31:		Line 31:
	\|enharmonic ''mos-name''		\|enharmonic ''mos-name''
	\|subchromatic ''mos-name''		\|subchromatic ''mos-name''
	\|(''k''th) ''mos-name'' descendant		\|(''k''th-order) ''mos-name'' descendant
	\|-		\|-
	\|''mos-name''		\|''mos-name''
Line 37:		Line 37:
	\|''mosprefix''-monic		\|''mosprefix''-monic
	\|''mosprefix''-subchromatic		\|''mosprefix''-subchromatic
	\|(''k''th) ''mosprefix''-descendant		\|(''k''th-order) ''mosprefix''-descendant
	\|}		\|}
	=== Step ratio descriptions ===		=== Step ratio descriptions ===
	Optionally, the names for a step ratio range, describing the step ratio of the root mos, can be added before these descriptions, either as a single word or prefix. Any step ratio range can be used for 4th descendants and beyond, as context allows.		Optionally, the names for a step ratio range, describing the step ratio of the root mos, can be added before these descriptions, either as a single word or prefix. Any step ratio range can be used for 4th-order descendants and beyond, as context allows.
	{\| class="wikitable"		{\| class="wikitable"
	\|+Step ratio descriptions		\|+Step ratio descriptions
Line 46:		Line 46:
	! colspan="2" \|Base mos		! colspan="2" \|Base mos
	! colspan="4" \|Chromatic mosses		! colspan="4" \|Chromatic mosses
	(1st descendants)		(1st-order descendants)
	! colspan="4" \|Enharmonic mosses		! colspan="4" \|Enharmonic mosses
	(2nd descendants)		(2nd-order descendants)
	! colspan="4" \|Subchromatic mosses		! colspan="4" \|Subchromatic mosses
	(3rd descendants)		(3rd-order descendants)
	\|-		\|-
	!Mos		!Mos
Line 139:		Line 139:
	\|+Descendant mosses of 5L 2s		\|+Descendant mosses of 5L 2s
	!Base mos		!Base mos
	!1st descendants		!1st-order descendants
	!2nd descendants		!2nd-order descendants
	!3rd descendants		!3rd-order descendants
	!4th descendants		!4th-order descendants
	!5th descendants		!5th-order descendants
	\|-		\|-
	\| rowspan="16" \|5L 2s		\| rowspan="16" \|5L 2s
Line 205:		Line 205:
	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:

	* There are 16 4th descendants, or '''4th diadescendant''' scales''.''		* There are 16 4th-order descendants, or '''4th-order diadescendant''' scales''.''
	* There are 32 5th descendants, or '''5th diadescendant''' scales.		* There are 32 5th-order descendants, or '''5th-order diadescendant''' scales.
	* There are 2 to the ''k''th power ''k''th descendants, or '''''k''th diadescendant''' scales.		* There are 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"
	\|+Descendant mosses of 5L 2s		\|+Descendant mosses of 5L 2s
	! colspan="2" \|Base mos		! colspan="2" \|Base mos
	! colspan="2" \|1st descendants		! colspan="2" \|1st-order descendants
	! colspan="2" \|2nd descendants		! colspan="2" \|2nd-order descendants
	! colspan="2" \|3rd descendants		! colspan="2" \|3rd-order descendants
	! colspan="2" \|4th descendants		! colspan="2" \|4th-order descendants
	\|-		\|-
	!Mos		!Mos
Line 237:		Line 237:
	\| rowspan="2" \|ultrasoft diasubchromatic		\| rowspan="2" \|ultrasoft diasubchromatic
	\|7L 26s		\|7L 26s
	\| rowspan="2" \|ultrasoft 4th diadescendants		\| rowspan="2" \|ultrasoft 4th-order diadescendants
	\|-		\|-
	\|26L 7s		\|26L 7s
Line 244:		Line 244:
	\| rowspan="2" \|parasoft diasubchromatic		\| rowspan="2" \|parasoft diasubchromatic
	\|26L 19s		\|26L 19s
	\| rowspan="2" \|parasoft 4th diadescendants		\| rowspan="2" \|parasoft 4th-order diadescendants
	\|-		\|-
	\|19L 26s		\|19L 26s
Line 253:		Line 253:
	\| rowspan="2" \|quasisoft diasubchromatic		\| rowspan="2" \|quasisoft diasubchromatic
	\|19L 31s		\|19L 31s
	\| rowspan="2" \|quasisoft 4th diadescendants		\| rowspan="2" \|quasisoft 4th-order diadescendants
	\|-		\|-
	\|31L 19s		\|31L 19s
Line 260:		Line 260:
	\| rowspan="2" \|minisoft diasubchromatic		\| rowspan="2" \|minisoft diasubchromatic
	\|31L 12s		\|31L 12s
	\| rowspan="2" \|minisoft 4th diadescendants		\| rowspan="2" \|minisoft 4th-order diadescendants
	\|-		\|-
	\|12L 31s		\|12L 31s
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	\| rowspan="2" \|minihard diasubchromatic		\| rowspan="2" \|minihard diasubchromatic
	\|12L 29s		\|12L 29s
	\| rowspan="2" \|minihard 4th diadescendants		\| rowspan="2" \|minihard 4th-order diadescendants
	\|-		\|-
	\|29L 12s		\|29L 12s
Line 278:		Line 278:
	\| rowspan="2" \|quasisoft diasubchromatic		\| rowspan="2" \|quasisoft diasubchromatic
	\|29L 17s		\|29L 17s
	\| rowspan="2" \|quasihard 4th diadescendants		\| rowspan="2" \|quasihard 4th-order diadescendants
	\|-		\|-
	\|17L 29s		\|17L 29s
Line 287:		Line 287:
	\| rowspan="2" \|parahard diasubchromatic		\| rowspan="2" \|parahard diasubchromatic
	\|17L 22s		\|17L 22s
	\| rowspan="2" \|parahard4th diadescendants		\| rowspan="2" \|parahard4th-order diadescendants
	\|-		\|-
	\|22L 17s		\|22L 17s
Line 294:		Line 294:
	\| rowspan="2" \|ultrahard diasubchromatic		\| rowspan="2" \|ultrahard diasubchromatic
	\|22L 5s		\|22L 5s
	\| rowspan="2" \|ultrahard 4th diadescendants		\| rowspan="2" \|ultrahard 4th-order diadescendants
	\|-		\|-
	\|5L 22s		\|5L 22s
	\|}		\|}
	== Additional temperament-agnostic mos names ==		== Additional temperament-agnostic mos names ==

Ganaram inukshuk at 08:29, 24 November 2023

2023-11-24T08:29:08Z

@@ Line 18: / Line 18: @@
 {| class="wikitable"
 |+Base descriptions
-!Parent mos
+!Base mos
 !Chromatic mosses
 (1st descendants)
@@ Line 40: / Line 40: @@
 |}
 === Step ratio descriptions ===
-Optionally, the names for a step ratio range can be added before these descriptions, describing the step ratio of the root mos. Step ratios only apply to the 1st, 2nd, and 3rd descendants.
+Optionally, the names for a step ratio range, describing the step ratio of the root mos, can be added before these descriptions, either as a single word or prefix. Any step ratio range can be used for 4th descendants and beyond, as context allows.
 {| class="wikitable"
 |-
-! colspan="2" |Root
+! colspan="2" |Base mos
 ! colspan="4" |Chromatic mosses
 (1st descendants)
@@ Line 70: / Line 71: @@
 | rowspan="4" |(x+y)L xs
 | rowspan="4" |1:1 to 2:1
-| rowspan="4" |soft-of-basic
+| rowspan="4" |soft
 | rowspan="4" |s-
 | rowspan="2" |(x+y)L (2x+y)s
@@ Line 102: / Line 103: @@
 | rowspan="4" |xL (x+y)s
 | rowspan="4" |2:1 to 1:0
-| rowspan="4" |hard-of-basic
+| rowspan="4" |hard
 | rowspan="4" |h-
 | rowspan="2" |(2x+y)L xs
@@ Line 136: / Line 137: @@
 The descendants of 5L 2s can be organized as a scale tree, as shown.
 {| class="wikitable"
-!Root mos
+|+Descendant mosses of 5L 2s
 !1st descendants
 !2nd descendants
@@ Line 206: / Line 208: @@
 * There are 32 5th descendants, or '''5th diadescendant''' scales.
 * There are 2 to the ''k''th power ''k''th descendants, or '''''k''th diadescendant''' scales.
-== Naming scheme ==
+Step ratios ranges can be added to these descriptions, as shown.
+{| class="wikitable"
-== Specific names ==
+|+Descendant mosses of 5L 2s

Ganaram inukshuk: /* Description scheme for TAMNAMS-named mosses */ Separate examples

2023-11-24T05:14:12Z

Description scheme for TAMNAMS-named mosses: Separate examples

Show changes

Ganaram inukshuk at 05:12, 24 November 2023

2023-11-24T05:12:00Z

Show changes

Ganaram inukshuk at 01:38, 23 November 2023

2023-11-23T01:38:09Z

← Older revision		Revision as of 01:38, 23 November 2023
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	'''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.		'''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~~ ==		== Types of mos descendants ==
	Using [[5L 2s]] (diatonic) as an example, a tree of mosses can be produced as a scale tree.		Using [[5L 2s]] (diatonic) as an example, a tree of mosses can be produced as a scale tree.
	{\| class="wikitable"		{\| class="wikitable"
	\|+		!Root mos
	!Root
	!1st descendants		!1st descendants
	!2nd descendants		!2nd descendants
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	\|-		\|-
	\| rowspan="2" \|12L 19s		\| rowspan="2" \|12L 19s
	\|~~19L~~ 12s		\|31L 12s
	\|-		\|-
	\|12L ~~19s~~		\|12L 31s
	\|-		\|-
	\| rowspan="8" \|5L 7s		\| rowspan="8" \|5L 7s