TAMNAMS: Difference between revisions

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Naming mos chords: Added a way to write chord inversions
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Proposal: Naming mos modes: TAMNAMS uses UDP now
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(The choice of how to define ''diatonic'' isn't bound by history, since many other terms have different meanings depending on the historical musical system referred to, for example the ''enharmonic scale'' may refer to a chain-of-fifths-based scale with 12edo enharmonics not equated, or to an ancient Greek genus.)
(The choice of how to define ''diatonic'' isn't bound by history, since many other terms have different meanings depending on the historical musical system referred to, for example the ''enharmonic scale'' may refer to a chain-of-fifths-based scale with 12edo enharmonics not equated, or to an ancient Greek genus.)


== Proposal: Naming mos modes ==
== Naming mos modes ==
For any mos pattern, TAMNAMS allows one to use a modified version of [[UDP notation]] to name a given mos's mode. We use "xL ys k|" to denote the mode of the mos xL ys that has k generators above the tonic and n − 1 − k generators below the tonic. For example, "5L 3s 5|" for LsLLsLLs, read "5 ell 3 ess 5 pipe". We skip the number of chroma-positive generators down and the number of periods, which are redundant though these are required by standard UDP notation. The | symbol is read "pipe" instead of "up", because "up" here may be interpreted as part of the accidental alteration modifier (see below).
TAMNAMS uses [[UDP]] to name modes (i.e. the format pu|pd (p) for pL ps mosses, where u is the number of bright generators up and d is the number of bright generators down), the diamond mos accidentals can be used to alter modes. For non-diatonic mosses, the degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs can be written "5L 3s 5|3 @4d".


For an altered mode we can use any accidental alteration whose meaning is clear. For non-diatonic mosses, the degree modified is indicated using TAMNAMS's 0-indexing convention. For example, LsLsLLLs can be written "5L 3s 5| @4d" (read "5L 3s 5 pipe at-4-degree"), using the @ accidental from [[diamond-mos notation]]. Using this convention, any mode of any mos can be referred to without introducing new mode names to memorize.
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|3".
 
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 called "oneiro-5-pipe" and written "onei-5|".


== Proposal: Extensions for Descendent MOSes ==
== Proposal: Extensions for Descendent MOSes ==