Microtonal, just intonation, electronic music software Microtonal, just intonation, electronic music software

Encyclopedia of Microtonal Music Theory

@ 00 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Login   |  Encyclopedia Index

thirteenth / 13th / diatonic-13th

[Joe Monzo]

A diatonic interval which traverses 12 steps in a diatonic scale, and covers a pitch distance bounded by 13 nominals inclusively, an octave plus a 6th. This refers to the generic usage of "13th" without a qualifying adjective, which often precedes the interval name in standard diatonic usage. Thus, the various different types of diatonic 13ths are (in order of size from smallest to largest):

The 13th is the largest interval normally recognized by name in traditional harmony, since the method of building a chord in 3rds results in the double-octave (15th) when going beyond this, and thus returns to the root chord-member.

. . . . . . . . .

The tonalsoft.com website is almost entirely the work of one person: me, Joe Monzo. Please reward me for my knowledge and effort by choosing your preferred level of financial support. Thank you.

support level