User:Ganaram inukshuk/TAMNAMS: Difference between revisions

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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.

This article outlines TAMNAMS as it applies to octave-equivalent moment of symmetry scales, or such scales with tempered octaves.

This article outlines TAMNAMS conventions as it applies to octave-equivalent moment of symmetry scales, or such scales with tempered octaves.

==Credits==

This page and its associated pages were mainly written by [[User:Godtone]], [[User:SupahstarSaga]], [[User:Inthar]], and [[User:Ganaram inukshuk]].

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**The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.

*For all other intervals, the large size is '''major''' and the small size is '''minor'''.

Additionally, the designations of augmented, perfect, and diminished don't apply for the generators for mosses of the form ''n''L ''n''s; instead, major and minor is used. This is to prevent ambiguity over calling every interval perfect.

~~The designations for these intervals repeat for intervals that~~ exceed the octave; in ~~other words~~, an interval that is raised by an octave will be the same interval quality that it was before raising.

Intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is a fraction of the octave, will be the same interval quality that it was before raising.

~~Additionally~~, the ~~designations of augmented, perfect~~, ~~and diminished don't apply for~~ the ~~generators for mosses~~ of the ~~form ''n''L ''n''s; instead~~, ~~major and minor is used. This is to prevent ambiguity over calling every~~ interval ~~perfect~~.

Examples using 5L 2s and 4L 4s are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. For a detailed derivation of these intervals, see the appendix.

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|Quadruply-diminished (d<sup>4</sup> or d^4)

|}

===Other ~~intervals~~ and other ~~terminology~~===

===Other terminology and other intervals===

Intervals that have a perfect variety (the unison, period, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''.

A discussion of intervals that fall between the ones discussed here, namely neutral and interordinal intervals, can be found at <link>.

==Naming mos degrees==

@@ Line 5: / Line 5: @@
 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.
-This article outlines TAMNAMS as it applies to octave-equivalent moment of symmetry scales, or such scales with tempered octaves.
+This article outlines TAMNAMS conventions as it applies to octave-equivalent moment of symmetry scales, or such scales with tempered octaves.
 ==Credits==
 This page and its associated pages were mainly written by [[User:Godtone]], [[User:SupahstarSaga]], [[User:Inthar]], and [[User:Ganaram inukshuk]].
@@ Line 224: / Line 224: @@
 **The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.
 *For all other intervals, the large size is '''major''' and the small size is '''minor'''.
+Additionally, the designations of augmented, perfect, and diminished don't apply for the generators for mosses of the form ''n''L ''n''s; instead, major and minor is used. This is to prevent ambiguity over calling every interval perfect.
-The designations for these intervals repeat for intervals that exceed the octave; in other words, an interval that is raised by an octave will be the same interval quality that it was before raising.
+Intervals can exceed the octave as they do in standard music theory (eg, a diatonic 9th is a diatonic 2nd raised one octave). For a single-period mos, any interval that is raised by an octave will be the same interval quality that it was before raising. Likewise, for a multi-period mos, any interval raised by the period, where the period is a fraction of the octave, will be the same interval quality that it was before raising.
-Additionally, the designations of augmented, perfect, and diminished don't apply for the generators for mosses of the form ''n''L ''n''s; instead, major and minor is used. This is to prevent ambiguity over calling every interval perfect.
 Examples using 5L 2s and 4L 4s are provided below. Note that 5L 2s interval names are identical to that of standard music theory, apart from the 0-indexed interval names. For a detailed derivation of these intervals, see the appendix.
@@ Line 293: / Line 292: @@
 |Quadruply-diminished (d<sup>4</sup> or d^4)
 |}
-===Other intervals and other terminology===
+===Other terminology and other intervals===
 Intervals that have a perfect variety (the unison, period, and generators) are called ''perfectable intervals'', whereas intervals that do not have a perfect variety are called ''non-perfectable intervals''.
+A discussion of intervals that fall between the ones discussed here, namely neutral and interordinal intervals, can be found at <link>.
 ==Naming mos degrees==