User:Ganaram inukshuk/Notes/TAMNAMS: Difference between revisions

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== Sandboxed rewrite: Naming mos intervals and mos degrees ==
== Sandboxed rewrite: Naming mos intervals and mos degrees ==
Mos intervals are denoted as a ''quantity'' of mossteps, large or small. An interval that is k mossteps wide is referred to as a ''k-mosstep interval'' or simply ''k-mosstep'' (abbreviated as ''k''ms). A mos 's intervals start at a 0-mosstep or ''mosunison'', 1-mosstep, and so on, until an n-mosstep or ''mosoctave'' is reached, where n is the number of pitches in the mos. The prefix of mos- in the terms mosstep, mosunison, and mosoctave may be replaced with the mos's prefix, specified in the section mos pattern names.
Mos intervals are denoted as a ''quantity'' of mossteps, large or small. An interval that is k mossteps wide is referred to as a ''k-mosstep interval'' or simply ''k-mosstep'' (abbreviated as ''k''ms). A mos's intervals are a 0-mosstep or ''mosunison'', followed by a 1-mosstep, and so on, until an n-mosstep or ''mosoctave'' is reached, where n is the number of pitches in the mos. The prefix of mos- in the terms mosstep, mosunison, and mosoctave may be replaced with the mos's prefix, specified in the section mos pattern names.


In contexts where it doesn't cause ambiguity, the term ''k-mosstep'' can be shortened to ''k-step'', which allows for generalizing terminology described here to non-mos scales. Additionally, for [[non-octave]] scales, the term ''mosoctave'' is replaced with the term ''mosequave''.
In contexts where it doesn't cause ambiguity, the term ''k-mosstep'' can be shortened to ''k-step'', which allows for generalizing terminology described here to non-mos scales. Additionally, for [[non-octave]] scales, the term ''mosoctave'' is replaced with the term ''mosequave''.
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* The mosunison and mosoctave are '''perfect''' because they only have one size each.
* The mosunison and mosoctave are '''perfect''' because they only have one size each.
* The generating intervals, or generators, are referred to as '''perfect''' by default. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each. The following subsection explains how to find these. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep. When people talk about the generating intervals, they are usually referring to their perfect form; specifically:
* The generating intervals, or generators, are referred to as '''perfect'''. Note that a mos actually has two generators - a bright and dark generator - and both generators have two sizes each. The following subsection explains how to find these. For our running example of 3L 4s, the generators are a 2-mosstep and 5-mosstep. When people talk about the generating intervals, they are usually referring to their perfect form; specifically:
** The large size of the bright generator is '''perfect''', and the small size is '''diminished'''.
** The large size of the bright generator is '''perfect''', and the small size is '''diminished'''.
** The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.
** The large size of the dark generator is '''augmented''', and the small size is '''perfect'''.