Overview of terminology differences

This page serves as a summary of the differences in terminology used by different composers. It is not an invitation to add fuel to these debates, rather it is a tool to ease communication.

Accidentals across notation systems

Formal commas

Accidental		Vector	Ben Johnston	FJS	HEJI	Color		Sagittal
		Name	Symbol	Symbol	Symbol	Phonetic coding	Symbol	Name	Phonetic coding	Symbol
81/80	Raise	5-sharp	+	/5	(An up arrow on a natural sign)	gu	g	5-comma	pai	/|
	Lower	5-flat	-	5	(A down arrow on a natural sign)	yo	y		pao	\!
64/63	Raise	7-sharp	(not used in BJ)	/7	Γ	ru	r	7-comma	tai	|)
	Lower	7-flat		7	L	zo	z		tao	!)

General purpose

Accidental		KISS	Diamond-MOS			Kite's ups and downs
		Symbol	Name	Symbol		Symbol
MOSchroma	Raise	#	am	&		(Not used in Kite)
	Lower	b	at	@
Subchroma	Raise	(Not used in KISS)	(Not used in Diamond-MOS)
	Lower
Edostep	Raise
	Lower

Section heading

What counts as a minor third, how do people categorize the things that aren't, and how would they refer to other senses of 'minor third'?

TODO: make this into a table with different people's thoughts

Interval	SS Interval size	SS Interval category	Quasi-diatonic	Just notation
32/27	Pythagorean minor third	minor third	minor third	minor third
An interval inflected by formal commas from 32/27	-	minor third	(out of scope)	minor third
3\12, representing 32/27	MOSdiatonic minor third	minor third	minor third	minor third
3\12, representing an interval inflected by formal commas from 32/27	minor third	minor third	(out of scope)	minor third
3\12, in general	minor third	3/12	(out of scope)	(out of scope)
Any interval in the vicinity of 3\12	minor third	~3/12	(out of scope)	(out of scope)
Any interval in the vicinity of 3\12, provided it is mapped as the third degree of a heptatonic scale	minor third	~3/12	(out of scope)	(out of scope)
Any interval in the vicinity of 3\12, excluding Pythagorean intervals other than 32/27	minor third	~3/12	(out of scope)	(out of scope)
Any interval in the vicinity of 3\12, provided it is inflected by formal commas from 32/27	minor third	minor third	(out of scope)	minor third
Any interval in the vicinity of 3\12, provided it is a tempered version of an interval inflected by formal commas from 32/27	minor third	minor third	(out of scope)	minor third
The smaller version of the third degree of a JI-agnostic diatonic scale	-	minor third	minor third	(out of scope)
The smaller version of the third degree of a JI-agnostic diatonic MOS	MOSdiatonic minor third	minor third	minor third	(out of scope)
The smaller version of the third degree of a ternary (or greater) diatonic scale, even if it is not mapped to something inflected by formal commas from 32/27	-	minor third	minor third	(out of scope)
The smaller version of the third degree of any heptatonic scale	minor 2-step	minor 2-step	minor third	(out of scope)
The smaller version of the third degree of any heptatonic MOS	minor 2-step	minor 2-step	minor third	(out of scope)
The larger version of the third degree of antidiatonic, when mapped as 32/27 and tuned near 400c	major third	major third	major third	minor third
The larger version of the third degree of antidiatonic when tuned near 400c, in general	major third	major third	major third	(out of scope)
The smaller version of the fourth degree of a decatonic scale	decatonic minor third	minor third	minor fourth	(out of scope)
The fourth degree of a dodecatonic scale	-	minor third	fourth	(out of scope)
The smaller version of the third degree of any scale	minor 2-step	minor 2-step	minor third	(out of scope)
The b3 degree	(out of scope)	(out of scope)	(out of scope)	(out of scope)