TromboneBoi9: Created page with "'''JDN''' stands for "Just-intonation Descriptive Names," and is a system of interval names that works somewhat similarly to the HEJI notation system. It aims to name dist..."

2024-11-21T19:38:30Z

Created page with "'''JDN''' stands for "Just-intonation Descriptive Names," and is a system of interval names that works somewhat similarly to the HEJI notation system. It aims to name dist..."

New page

'''JDN''' stands for "Just-intonation Descriptive Names," and is a system of interval names that works somewhat similarly to the [[HEJI]] notation system. It aims to name distinct [[JI]] intervals up to the 13-limit one-to-one, enough to work as a naming system for corresponding [[EDO]] intervals.

That being said, I'm unsure of its efficacy as a system for pure JI, but things can be altered if needed.

=== 3-limit, perfect ===
Intervals in the [[3-limit]] are always referred to as "perfect" intervals, and the base names "unison," "second," etc. always refer to intervals in the major scale. Thus, a ''perfect second'' is [[9/8]], a ''perfect third'' is [[81/64]], a ''perfect sixth'' is [[27/16]] and so on.

Intervals in the 3-limit beyond these use the words "sharp" or "flat," which describe alterations of a [[apotome|Pythagorean apotome]] up or down. A ''perfect flat-seventh'' is [[16/9]].

For brevity, the word "perfect" may be removed, making names such as ''second'', ''third'', ''flat-seventh'', etc.

=== 5-limit, major and minor ===
The word "major" replaces the word "perfect" and lowers an interval by a [[81/80|syntonic comma]]. Thus a ''major third'' strictly refers to [[5/4]]. Note that this allows [[9/8]] and [[10/9]] intervals to be distinguished, as they are the ''perfect second'' and the ''major second'' respectively.

The word "minor" also replaces the word "perfect" and lowers an interval by [[135/128]] (down an apotome and up a syntonic comma), which means a ''minor third'' is [[6/5]].

"Augmented" or "diminished" alters an interval by [[25/24]] up or down, which means the ''augmented fourth'' is [[25/18]] and the ''diminished fifth'' is [[36/25]].

=== 7-limit, super- and sub- ===
The prefixes "super-" and "sub-" (when appended to "perfect," "major," "minor," etc.) refer to an alteration of [[36/35]] up or down respectively. This makes the ''supermajor second'' [[8/7]] and the ''subminor third'' [[7/6]].

=== 11-limit, up- and down- ===
The prefixes "up-" and "down-" (when appended in the same way as "super-" or "sub-") refer to an alteration of [[33/32]] up or down respectively. This makes the ''upperfect fourth'' or ''upfourth'' [[11/8]].

User:TromboneBoi9/JDN Interval Names - Revision history

TromboneBoi9: Created page with "'''JDN''' stands for "Just-intonation Descriptive Names," and is a system of interval names that works somewhat similarly to the HEJI notation system. It aims to name dist..."