User:Vector/Vector's interval naming scheme

Vector's interval naming scheme begins as a simple formal-comma-based scheme. However, the direction of alteration is defined as towards the neutral ("in") or away from the neutral ("out"). The formal commas are those from FJS, specifically FloraC's version.

The basic set of adjectives are

Prime	Adjectives	Prefixes	Alteration direction
5	classical	penta-	in
7	septimal	septi-	out
11	undecimal	undeci-	in
13	tridecimal	trideci-	in
17	septendecimal	sede-	in
19	undevicesimal	devi-	in
23	vicesimotertial	vice-	out
29	vicesimononal	vine-	in
31	tricesimoprimal	trice-	in[a]

[a] for octaves and unisons, "in" always flattens and "out" always sharpens, except for augmented/diminished unisons/octaves. Chromatic semitones and octaves can't use ADIN labels.

Other elements:

• retro- : Reverses the direction of alteration. Applies to all following elements.
• para- : Changes the diatonic interval referenced to the simplest one a Pythagorean comma away. (So, a paraclassical diminished fourth and a classical major third are the same interval, and "paraclassical" functions as a term meaning "inflect inwards by a schisma".
• trans- : Changes the diatonic interval referenced to the simplest one a diatonic semitone away. (So, a transclassical perfect fourth and a classical major third are the same interval.)
• alter- : Changes the diatonic interval referenced to the simplest one a chromatic semitone away. (So, an alterclassical minor third and a classical major third are the same interval.)

para-, trans-, and/or alter- all go at the beginning of an interval name. Stacking multiple of the same one works like warts do, where it successively uses more and more complex offsets by multiples of its relevant comma.

Under this scheme, 14/11 may be called the transeptiretroundecimal major third.

But that sounds stupid.

Fortunately, the scheme provides elements for certain composite formal commas as well:

Number	Primes	Adjectives	Prefixes	Alteration direction
5	paraclassical	schismic	schi-	in
25	paradiclassical	diaschismic	diaschi-	out
125	paratriclassical	dietic	dieti-	out
7/5	septiclassical	aberschismic	argi-	out
7/5	parasepticlassical	schismean	schimi-	in
35	pentaretroseptimal	minty	minti-	in
11/7	transeptiretroundecimal	pentacircle	neo-	out
11/5	alterundeciclassical	pine	tardi-	in
13/5	transtrideciclassical	barbados	barba-	out
19/5	paradeviclassical	eratosthenean	erato-	out
17/5	parasedeclassical	diatismic	tismi-	out
7/25	schimiretroclassical, diaschiretroseptimal	marvel	marvi-	in
49/5	paraargiseptimal	greenwoodmic	grewi-	in