TAMNAMS: Difference between revisions

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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!}}

'''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.

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=== 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:

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|-

! Interval name

! Absolute value of a~~...~~

! Absolute value of a …

|-

| Moschroma (generalized [[chroma]], provided for reference)

| 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

|-

| Moskleisma (generalized [[kleisma]])

| Moskleisma (generalized [[kleisma #As a diatonic interval category|kleisma]])

| Mosdiesis minus a moschroma

|-

| Mosgothma (generalized gothma)

| Mosgothma (generalized [[gothma]])

| Mosdiesis minus a small step

|}

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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!}}
-'''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&nbsp;2s, with different proportions of large and small steps. Under TAMNAMS parlance, these names can be described broadly as ''soft 5L&nbsp;2s'' (for flattone and meantone) and ''hard 5L&nbsp;2s'' (for pythagorean and superpyth). For discussions of the step pattern itself, the name ''5L&nbsp;2s'' or, in this example, ''diatonic'', is used.
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 === 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:
@@ Line 284: / Line 284: @@
 |-
 ! Interval name
-! Absolute value of a...
+! Absolute value of a …
 |-
 | Moschroma (generalized [[chroma]], provided for reference)
 | 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
 |-
-| Moskleisma (generalized [[kleisma]])
+| Moskleisma (generalized [[kleisma #As a diatonic interval category|kleisma]])
 | Mosdiesis minus a moschroma
 |-
-| Mosgothma (generalized gothma)
+| Mosgothma (generalized [[gothma]])
 | Mosdiesis minus a small step
 |}