Hello, my name's Lillian Hearne. Welcome to my Xenwiki page. This is where I'll link all of my research :)

My thesis PhD thesis The Cognition of Stability in Microtonal Scales, focuses on 22edo.

These pages provide supplementary material to the thesis:

Chapter 4 - the 16 most stable triads of 22edo

Chapter 5 - Exemplar scales for the space of all possible 7-note scales of 22-TET


Some other work:

Extended-diatonic interval names

SHEFKHED interval names

SKULO notation and interval names (successor to SHEFKHED interval names): Sub-chroma accidentals as deviations from Pythagorean diatonic intervals: S/s, Super/sub, septimal, 64/63; K/k, Komma-Wide/komma-narrow, klassisch, 81/80; U/u, Über/unter, undecimal, 33/32; L\l, Large\little, 896/891; O/o, On/off, Oceanic, 45/44. Particularly native to 41edo, 46edo, and 53edo, where U=2 and S=K=1; 72edo, where U=3, S=O=2, and K=L=1; and 118edo, where U=5, O=4, S=3, K=2, and L=1.

Prima - an interval size measure for 11-limit comma arithmetic: one step of 12276edo; represents 12edo, 22edo and 31edo exactly; 10.23 prima to a cent, 170.5 prima to a morion.

Step-nested Scales (SNS) - generalization of MOS scales to n-dimensional regular temperaments (as n-SNS), where MOS scales are 2-SNS. SNS are symmetric.

Magic Tetrachords