TAMNAMS: Difference between revisions

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To denote interval classes within the mos, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed under "mos pattern names". One possible way is to try to borrow diatonic 1-indexed ordinal names: Usage example: ''In 31edo's ultrasoft [[mosh]] scale, the perfect mosthird (aka Pmosh3rd) is a neutral third and the major mosfifth (aka Lmosh5th) is a perfect fifth.''

The way intervals are named above (and in 12edo theory) has a problem. An interval that's n steps wide is named "(n+1)th". This means that adding two intervals is more complicated than it should be. Stacking two fifths makes a ninth, when naively it would make a tenth. We're used to this for the diatonic scale, but when dealing with unfamiliar scale structures, it can be very confusing. Thus ~~we prefer~~ a 0-indexed name system: First, use the term "mosstep" for steps of the mos, large or small. From there, an interval which is k mossteps wide is a "k-mosstep", short for "k-mosstep interval". Major, minor, perfect, etc would apply as established. The names "mosoctave" (or "mosequave" for nonoctave mosses) and "mosunison" could still be used, interchangeably with "n-mosstep" (for an n-tone mos) and "0-mosstep" respectively. This change makes the arithmetic needed to understand mos intervals much smoother.

The way intervals are named above (and in 12edo theory) has a problem. An interval that's n steps wide is named "(n+1)th". This means that adding two intervals is more complicated than it should be. Stacking two fifths makes a ninth, when naively it would make a tenth. We're used to this for the diatonic scale, but when dealing with unfamiliar scale structures, it can be very confusing. Thus 1-indexed interval names are deprecated in non-diatonic mosses.

We adopt a 0-indexed name system: First, use the term "mosstep" for steps of the mos, large or small. From there, an interval which is k mossteps wide is a "k-mosstep", short for "k-mosstep interval". Major, minor, perfect, etc would apply as established. The names "mosoctave" (or "mosequave" for nonoctave mosses) and "mosunison" could still be used, interchangeably with "n-mosstep" (for an n-tone mos) and "0-mosstep" respectively. This change makes the arithmetic needed to understand mos intervals much smoother.

In contexts where it doesn't cause ambiguity, "k-mosstep" can be shortened to "k-step". "k-step" is also generalizable to non-mos scale types such as [[MV3]].

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 To denote interval classes within the mos, TAMNAMS uses the generic prefix ''mos-'', or the specific prefixes and abbreviations listed under "mos pattern names". One possible way is to try to borrow diatonic 1-indexed ordinal names: Usage example: ''In 31edo's ultrasoft [[mosh]] scale, the perfect mosthird (aka Pmosh3rd) is a neutral third and the major mosfifth (aka Lmosh5th) is a perfect fifth.''
-The way intervals are named above (and in 12edo theory) has a problem. An interval that's n steps wide is named "(n+1)th". This means that adding two intervals is more complicated than it should be. Stacking two fifths makes a ninth, when naively it would make a tenth. We're used to this for the diatonic scale, but when dealing with unfamiliar scale structures, it can be very confusing. Thus we prefer a 0-indexed name system: First, use the term "mosstep" for steps of the mos, large or small. From there, an interval which is k mossteps wide is a "k-mosstep", short for "k-mosstep interval". Major, minor, perfect, etc would apply as established. The names "mosoctave" (or "mosequave" for nonoctave mosses) and "mosunison" could still be used, interchangeably with "n-mosstep" (for an n-tone mos) and "0-mosstep" respectively. This change makes the arithmetic needed to understand mos intervals much smoother.
+The way intervals are named above (and in 12edo theory) has a problem. An interval that's n steps wide is named "(n+1)th". This means that adding two intervals is more complicated than it should be. Stacking two fifths makes a ninth, when naively it would make a tenth. We're used to this for the diatonic scale, but when dealing with unfamiliar scale structures, it can be very confusing. Thus 1-indexed interval names are deprecated in non-diatonic mosses.
+We adopt a 0-indexed name system: First, use the term "mosstep" for steps of the mos, large or small. From there, an interval which is k mossteps wide is a "k-mosstep", short for "k-mosstep interval". Major, minor, perfect, etc would apply as established. The names "mosoctave" (or "mosequave" for nonoctave mosses) and "mosunison" could still be used, interchangeably with "n-mosstep" (for an n-tone mos) and "0-mosstep" respectively. This change makes the arithmetic needed to understand mos intervals much smoother.
 In contexts where it doesn't cause ambiguity, "k-mosstep" can be shortened to "k-step". "k-step" is also generalizable to non-mos scale types such as [[MV3]].