TAMNAMS: Difference between revisions

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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.

For this reason the originally suggested 1-indexed interval names such as "mos-kth" are deprecated for non-diatonic mosses. TAMNAMS now ~~uses~~ a 0-indexed name system for non-diatonic mos intervals: 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.

For this reason the originally suggested 1-indexed interval names such as "mos-kth" are deprecated for non-diatonic mosses. TAMNAMS now prefers a 0-indexed name system for non-diatonic mos intervals: 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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 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.
-For this reason the originally suggested 1-indexed interval names such as "mos-kth" are deprecated for non-diatonic mosses. TAMNAMS now uses a 0-indexed name system for non-diatonic mos intervals: 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.
+For this reason the originally suggested 1-indexed interval names such as "mos-kth" are deprecated for non-diatonic mosses. TAMNAMS now prefers a 0-indexed name system for non-diatonic mos intervals: 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]].