TAMNAMS - Revision history

FloraC: Text replacement - "octave" to "octave"

2026-07-14T14:15:41Z

Text replacement - "octave" to "octave"

← Older revision		Revision as of 14:15, 14 July 2026
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	=== Naming specific mos intervals ===		=== Naming specific mos intervals ===
	The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses have [[maximum variety]] 2, every interval (except for the [[1/1\|unison]] and multiples of the [[period]] which is usually the [[~~2/1\|~~octave]]) will be in no more than two sizes.		The phrase ''k-mosstep'' by itself does not specify the exact size of an interval. To refer to specific intervals, the familiar modifiers of ''major'', ''minor'', ''augmented'', ''diminished'' and ''perfect'' are used. As mosses have [[maximum variety]] 2, every interval (except for the [[1/1\|unison]] and multiples of the [[period]] which is usually the [[octave]]) will be in no more than two sizes.

	The modifiers of ''major'', ''minor'', ''augmented'', ''perfect'', and ''diminished'' (abbreviated as M, m, A, P, and d respectively) are given as such:		The modifiers of ''major'', ''minor'', ''augmented'', ''perfect'', and ''diminished'' (abbreviated as M, m, A, P, and d respectively) are given as such:

FloraC: /* Smaller intervals */ update links

2026-07-12T13:07:38Z

Smaller intervals: update links

← Older revision		Revision as of 13:07, 12 July 2026
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	\|-		\|-
	! Interval name		! Interval name
	! Absolute value of a~~...~~		! Absolute value of a …
	\|-		\|-
	\| Moschroma (generalized [[chroma]], provided for reference)		\| Moschroma (generalized [[chroma]], provided for reference)
	\| Large step minus a small step		\| Large step minus a small step
	\|-		\|-
	\| Mosdiesis (generalized [[~~Diesis (scale theory)~~\|diesis]])		\| Mosdiesis (generalized [[diesis #As a diatonic interval category\|diesis]])
	\| Large step minus two small steps		\| Large step minus two small steps
	\|-		\|-
	\| Moskleisma (generalized [[kleisma]])		\| Moskleisma (generalized [[kleisma #As a diatonic interval category\|kleisma]])
	\| Mosdiesis minus a moschroma		\| Mosdiesis minus a moschroma
	\|-		\|-
	\| Mosgothma (generalized gothma)		\| Mosgothma (generalized [[gothma]])
	\| Mosdiesis minus a small step		\| Mosdiesis minus a small step
	\|}		\|}

Inthar at 03:43, 22 March 2026

2026-03-22T03:43:19Z

← Older revision		Revision as of 03:43, 22 March 2026
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	{{Mbox\|text=The content of this page is maintained by '''members of the Xenharmonic Alliance Discord'''. If you have any questions, spot any errors, or have any suggestions, be sure to ask there!}}		{{Mbox\|text=The content of this page is maintained by '''members of the Xenharmonic Alliance Discord'''. If you have any questions, spot any errors, or have any suggestions, be sure to ask there!}}

	'''TAMNAMS''' (from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem'', read as /ˈteɪmneɪmz/ or /ˈtæmnæmz/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales—primarily [[Octave equivalence\|octave-equivalent]] [[moment of symmetry]] scales—as well as ~~their~~ their intervals, their associated generator ranges, and the ratios describing the proportions of large and small steps.		'''TAMNAMS''' (from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem'', read as /ˈteɪmneɪmz/ or /ˈtæmnæmz/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales—primarily [[Octave equivalence\|octave-equivalent]] [[moment of symmetry]] scales—as well as their intervals, their associated generator ranges, and the ratios describing the proportions of large and small steps.

	The goal of TAMNAMS is to allow musicians and theorists to discuss moment-of-symmetry scales, or mosses, independent of the language of [[regular temperament theory]]. For example, the names ''flattone[7]'', ''meantone[7]'', ''pythagorean[7]'', and ''superpyth[7]'' all describe the same step pattern of 5L 2s, with different proportions of large and small steps. Under TAMNAMS parlance, these names can be described broadly as ''soft 5L 2s'' (for flattone and meantone) and ''hard 5L 2s'' (for pythagorean and superpyth). For discussions of the step pattern itself, the name ''5L 2s'' or, in this example, ''diatonic'', is used.		The goal of TAMNAMS is to allow musicians and theorists to discuss moment-of-symmetry scales, or mosses, independent of the language of [[regular temperament theory]]. For example, the names ''flattone[7]'', ''meantone[7]'', ''pythagorean[7]'', and ''superpyth[7]'' all describe the same step pattern of 5L 2s, with different proportions of large and small steps. Under TAMNAMS parlance, these names can be described broadly as ''soft 5L 2s'' (for flattone and meantone) and ''hard 5L 2s'' (for pythagorean and superpyth). For discussions of the step pattern itself, the name ''5L 2s'' or, in this example, ''diatonic'', is used.

ArrowHead294 at 13:38, 6 May 2025

2025-05-06T13:38:45Z

← Older revision		Revision as of 13:38, 6 May 2025
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	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ style="font-size: ~~110~~%;" \| TAMNAMS moss names		\|+ style="font-size: 105%;" \| TAMNAMS moss names
	\|-		\|-
	! colspan="5" \| 6-note mosses		! colspan="5" \| 6-note mosses
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	Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following:		Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following:

	*[[User:Frostburn/TAMNAMS Extension]]		* [[User:Frostburn/TAMNAMS Extension]]
	*[[User:Ganaram inukshuk/TAMNAMS Extension]]		* [[User:Ganaram inukshuk/TAMNAMS Extension]]

	== Naming mos modes ==		== Naming mos modes ==
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	== Appendix==		== Appendix==
	=== Reasoning for step ratio names ===		=== Reasoning for step ratio names ===
	{{Main\|~~{{ROOTPAGENAME}}~~/Appendix#Reasoning for step ratio names}}		{{Main\|TAMNAMS/Appendix#Reasoning for step ratio names}}

	=== Reasoning for mos interval names ===		=== Reasoning for mos interval names ===
	{{Main\|~~{{ROOTPAGENAME}}~~/Appendix#Reasoning for mos interval names}}		{{Main\|TAMNAMS/Appendix#Reasoning for mos interval names}}

	=== Reasoning for mos pattern names ===		=== Reasoning for mos pattern names ===
	{{Main\|~~{{ROOTPAGENAME}}~~/Appendix#Reasoning for mos pattern names}}		{{Main\|TAMNAMS/Appendix#Reasoning for mos pattern names}}

	[[Category:TAMNAMS]]		[[Category:TAMNAMS]]

ArrowHead294: /* Step ratio spectrum */

2025-05-05T15:23:13Z

Step ratio spectrum

← Older revision		Revision as of 15:23, 5 May 2025
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	In some cases it can be clearer to name step ratio ranges by their ranges in hardness (for example, 1-1.33 for ultrasoft) or by their boundary step ratios (for example, equalized-to-supersoft for ultrasoft) than by the step ratio ranges tabulated here.		In some cases it can be clearer to name step ratio ranges by their ranges in hardness (for example, 1-1.33 for ultrasoft) or by their boundary step ratios (for example, equalized-to-supersoft for ultrasoft) than by the step ratio ranges tabulated here.

	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	\|+ style="font-size: 105%;" \| Spectrum of step ratio ranges and specific step ratios		\|+ style="font-size: 105%;" \| Spectrum of step ratio ranges and specific step ratios
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	! colspan="3" \| Step ratio ranges		! colspan="3" \| Step ratio ranges
	! Specific<br />step ratios		! Specific<br />step ratios
	!Hardness		! Hardness
	! Notes		! Notes
	\|-		\|-
	\|		\|
	\|		\|
	\|		\|
	\| '''1:1<br />(equalized)'''		\| '''1:1<br />(equalized)'''
	\|1		\| 1
	\| Trivial/pathological		\| Trivial/pathological
	\|-		\|-
	\| rowspan="7" \| 1:1 to 2:1<br />(soft-of-basic)		\| rowspan="7" \| 1:1 to 2:1<br />(soft-of-basic)
	\| colspan="2" \| 1:1 to 4:3<br />(ultrasoft)		\| colspan="2" \| 1:1 to 4:3<br />(ultrasoft)
	\|		\|
	\|		\|
	\| Step ratios especially close to 1:1 may be called pseudoequalized		\| Step ratios especially close to 1:1 may be called pseudoequalized
	\|-		\|-
	\|		\|
	\|		\|
	\| '''4:3<br />(supersoft)'''		\| '''4:3<br />(supersoft)'''
	\|1.33		\| 1.33
	\|		\|
	\|-		\|-
	\| colspan="2" \| 4:3 to 3:2<br />(parasoft)		\| colspan="2" \| 4:3 to 3:2<br />(parasoft)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\|		\|
	\| '''3:2<br />(soft)'''		\| '''3:2<br />(soft)'''
	\|1.5		\| 1.5
	\| Also called monosoft		\| Also called monosoft
	\|-		\|-
	\| rowspan="3" \| 3:2 to 2:1<br />(hyposoft)		\| rowspan="3" \| 3:2 to 2:1<br />(hyposoft)
	\| 3:2 to 5:3<br />(quasisoft)		\| 3:2 to 5:3<br />(quasisoft)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\| '''5:3<br />(semisoft)'''		\| '''5:3<br />(semisoft)'''
	\|1.67		\| 1.67
	\|		\|
	\|-		\|-
	\| 5:3 to 2:1<br />(minisoft)		\| 5:3 to 2:1<br />(minisoft)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\|		\|
	\|		\|
	\| '''2:1<br />(basic)'''		\| '''2:1<br />(basic)'''
	\|2		\| 2
	\|		\|
	\|-		\|-
	\| rowspan="7" \| 2:1 to 1:0<br />(hard-of-basic)		\| rowspan="7" \| 2:1 to 1:0<br />(hard-of-basic)
	\| rowspan="3" \| 2:1 to 3:1<br />(hypohard)		\| rowspan="3" \| 2:1 to 3:1<br />(hypohard)
	\| 2:1 to 5:2<br />(minihard)		\| 2:1 to 5:2<br />(minihard)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\| '''5:2<br />(semihard)'''		\| '''5:2<br />(semihard)'''
	\|2.5		\| 2.5
	\|		\|
	\|-		\|-
	\| 5:2 to 3:1<br />(quasihard)		\| 5:2 to 3:1<br />(quasihard)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\|		\|
	\| '''3:1<br />(hard)'''		\| '''3:1<br />(hard)'''
	\|3		\| 3
	\| Also called monohard		\| Also called monohard
	\|-		\|-
	\| colspan="2" \| 3:1 to 4:1<br />(parahard)		\| colspan="2" \| 3:1 to 4:1<br />(parahard)
	\|		\|
	\|		\|
	\|		\|
	\|-		\|-
	\|		\|
	\|		\|
	\| '''4:1<br />(superhard)'''		\| '''4:1<br />(superhard)'''
	\|4		\| 4
	\|		\|
	\|-		\|-
	\| colspan="2" \| 4:1 to 1:0<br />(ultrahard)		\| colspan="2" \| 4:1 to 1:0<br />(ultrahard)
	\|		\|
	\|		\|
	\| Step ratios especially close to 1:0 may be called pseudocollapsed		\| Step ratios especially close to 1:0 may be called pseudocollapsed
	\|-		\|-
	\|		\|
	\|		\|
	\|		\|
	\| '''1:0<br />(collapsed)'''		\| '''1:0<br />(collapsed)'''
	\|infinity		\| infinity
	\| Trivial/pathological		\| Trivial/pathological
	\|}		\|}

Hkm: /* Step ratio ranges */ fixed irrelevant and duplicate content. Feel free to revert if there is a clarity issue.

2025-05-05T01:34:11Z

Step ratio ranges: fixed irrelevant and duplicate content. Feel free to revert if there is a clarity issue.

Show changes

Godtone: it's very annoying to have to constantly change from a section of the page to the very bottom just to read a single note; the disorientation makes me forget what the note was even for; furthermore, all of the notes are about that one table, so the separation is even more indefensible

2025-03-13T23:08:00Z

it's very annoying to have to constantly change from a section of the page to the very bottom just to read a single note; the disorientation makes me forget what the note was even for; furthermore, *all* of the notes are about that one table, so the separation is even more indefensible

← Older revision		Revision as of 23:08, 13 March 2025
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	\| [[9L 1s]] \|\| sinatonic \|\| sina- \|\| si \|\| Derived from the generator being within the range of a [[sinaic]].		\| [[9L 1s]] \|\| sinatonic \|\| sina- \|\| si \|\| Derived from the generator being within the range of a [[sinaic]].
	\|}		\|}
			<references group="note" />

	=== Expansion to smaller mosses ===		=== Expansion to smaller mosses ===
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	=== Reasoning for mos pattern names ===		=== Reasoning for mos pattern names ===
	{{Main\|{{ROOTPAGENAME}}/Appendix#Reasoning for mos pattern names}}		{{Main\|{{ROOTPAGENAME}}/Appendix#Reasoning for mos pattern names}}

	~~== Notes ==~~
	~~<references group="note" />~~

	[[Category:TAMNAMS]]		[[Category:TAMNAMS]]

Godtone: /* Names for mosses with 6-10 steps */ typo

2025-03-13T23:03:46Z

Names for mosses with 6-10 steps: typo

← Older revision		Revision as of 23:03, 13 March 2025
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	\| [[1L 6s]] \|\| onyx \|\| on- \|\| on \|\| Sounds like "one-six" depending on one's pronunciation; also called ''anti-archeotonic<ref group="note" name="anti-name">Alternate name based on the name of its sister mos, with anti- prefix added.</ref>''.		\| [[1L 6s]] \|\| onyx \|\| on- \|\| on \|\| Sounds like "one-six" depending on one's pronunciation; also called ''anti-archeotonic<ref group="note" name="anti-name">Alternate name based on the name of its sister mos, with anti- prefix added.</ref>''.
	\|-		\|-
	\| [[2L 5s]] \|\| antidiatonic \|\| pel- \|\| pel \|\| Opposite ~~Pattern~~ of diatonic;pel- is from pelog.		\| [[2L 5s]] \|\| antidiatonic \|\| pel- \|\| pel \|\| Opposite pattern of diatonic; pel- is from pelog.
	\|-		\|-
	\| [[3L 4s]] \|\| mosh \|\| mosh- \|\| mosh \|\| From "mohajira-ish", a name from [[Graham Breed's MOS naming scheme\|Graham Breed's naming scheme]].		\| [[3L 4s]] \|\| mosh \|\| mosh- \|\| mosh \|\| From "mohajira-ish", a name from [[Graham Breed's MOS naming scheme\|Graham Breed's naming scheme]].

ArrowHead294 at 12:24, 12 March 2025

2025-03-12T12:24:34Z

← Older revision		Revision as of 12:24, 12 March 2025
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	=== Naming mos chords ===		=== Naming mos chords ===
	To denote a chord or a mode on a given degree, write the notes of the chord separated by spaces or commas, or the mode, in parentheses after the degree symbol. The most explicit option is to write out the chord in cents, edosteps or mossteps (e.g. in [[13edo]] [[5L 3s]], the ({{nowrap\|0 369 646}}) chord can be written ({{nowrap\|0 4 7}})\13, ({{nowrap\|P0ms M2ms M4ms}}), or {{nowrap\|7{{~~pipe~~}}0 (0 2 4ms)}} and to write the mode. To save space, you can use whatever names or abbreviations for the chord or mode you have defined for the reader. For example, in the LsLLsLLs mode of 5L 3s, we have m2md(0 369 646), or the chord ({{nowrap\|0 369 646}}) on the 2-mosdegree which is a minor 2-mosstep. The LsLLsLLs mode also has m2md(7\|0), meaning that we have the 7\| (LLsLLsLs) mode on the 2-mosdegree which is a minor 2-mosstep in LsLLsLLs (see [[TAMNAMS#Proposal:%20Naming%20mos%20modes\|below]] for the convention we have used to name the mode).		To denote a chord or a mode on a given degree, write the notes of the chord separated by spaces or commas, or the mode, in parentheses after the degree symbol. The most explicit option is to write out the chord in cents, edosteps or mossteps (e.g. in [[13edo]] [[5L 3s]], the ({{nowrap\|0 369 646}}) chord can be written ({{nowrap\|0 4 7}})\13, ({{nowrap\|P0ms M2ms M4ms}}), or {{nowrap\|7{{!}}0 (0 2 4ms)}} and to write the mode. To save space, you can use whatever names or abbreviations for the chord or mode you have defined for the reader. For example, in the LsLLsLLs mode of 5L 3s, we have m2md(0 369 646), or the chord ({{nowrap\|0 369 646}}) on the 2-mosdegree which is a minor 2-mosstep. The LsLLsLLs mode also has m2md(7\|0), meaning that we have the 7\| (LLsLLsLs) mode on the 2-mosdegree which is a minor 2-mosstep in LsLLsLLs (see [[TAMNAMS#Proposal:%20Naming%20mos%20modes\|below]] for the convention we have used to name the mode).

	To analyze a chord as an inversion of another chord (i.e. when the bass is not seen as the root), the following strategies can be used:		To analyze a chord as an inversion of another chord (i.e. when the bass is not seen as the root), the following strategies can be used:
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	For modes with altered scale degrees, the abbreviations for the scale degrees are listed after the UDP for the mode.		For modes with altered scale degrees, the abbreviations for the scale degrees are listed after the UDP for the mode.
	{{MOS mode degrees\|Scale Signature=5L 3s\|MOS Prefix=mos\|MODMOS Step Pattern=LsLsLLLs\|Mode Names=Default}}		{{MOS mode degrees\|Scale Signature=5L 3s\|MOS Prefix=mos\|MODMOS Step Pattern=LsLsLLLs\|Mode Names=Default}}
	Notation, such as [[Diamond-mos notation\|diamond-mos]], can be used instead of the abbreviation of a mosdegree. For example, LsLsLLLs can be written {{nowrap\|"5L 3s 5{{~~pipe~~}}2 m4md"}}. {{nowrap\|"5L 3s 5{{~~pipe~~}}2 @4d"}}.		Notation, such as [[Diamond-mos notation\|diamond-mos]], can be used instead of the abbreviation of a mosdegree. For example, LsLsLLLs can be written {{nowrap\|"5L 3s 5{{!}}2 m4md"}}. {{nowrap\|"5L 3s 5{{!}}2 @4d"}}.

	For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5\|2".		For a mos pattern given a name in TAMNAMS, there is also the option of using the prefix for the pattern instead of saying "xL ys": the 5L 3s mode LsLLsLLs can be written "onei-5\|2".

ArrowHead294: /* Central spectrum */

2025-02-27T14:58:21Z

Central spectrum

← Older revision		Revision as of 14:58, 27 February 2025
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	\|		\|
	\|		\|
	\| '''1:1 (equalized)'''		\| '''1:1<br />(equalized)'''
	\| Trivial/pathological		\| Trivial/pathological
	\|-		\|-