Overview of terminology differences

From XenReference

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

32/27

An interval inflected by formal commas from 32/27

3\12, representing 32/27

3\12, representing an interval inflected by formal commas from 32/27

3\12, in general

Any interval in the vicinity of 3\12

Any interval in the vicinity of 3\12, provided it is mapped as the third degree of a heptatonic scale

Any interval in the vicinity of 3\12, excluding Pythagorean intervals other than 32/27

Any interval in the vicinity of 3\12, provided it is inflected by formal commas from 32/27

Any interval in the vicinity of 3\12, provided it is a tempered version of an interval inflected by formal commas from 32/27

The smaller version of the third degree of a JI-agnostic diatonic scale

The smaller version of the third degree of a JI-agnostic diatonic MOS

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

The smaller version of the third degree of any heptatonic scale

The smaller version of the third degree of any heptatonic MOS

The larger version of the third degree of antidiatonic, when mapped as 32/27

The larger version of the third degree of antidiatonic, in general

The smaller version of the fourth degree of a decatonic scale

The fourth degree of a dodecatonic scale

The smaller version of the third degree of any scale

Miscellaneous disputes