17 equal temperament

Each step represents a frequency ratio of 17√2, or 70.6 cents.

Alexander J. Ellis refers to a tuning of seventeen tones based on perfect fourths and fifths as the Arabic scale.

[2] In the thirteenth century, Middle-Eastern musician Safi al-Din Urmawi developed a theoretical system of seventeen tones to describe Arabic and Persian music, although the tones were not equally spaced.

[citation needed] Easley Blackwood Jr. created a notation system where sharps and flats raised/lowered 2 steps.

This yields the chromatic scale: Quarter tone sharps and flats can also be used, yielding the following chromatic scale: Below are some intervals in 17 EDO compared to just.

Figure 1: 17-ET on the regular diatonic tuning continuum at P5=705.88 cents. [ 1 ]
1 step in 17-ET
Notation of Easley Blackwood [ 3 ] for 17 equal temperament: intervals are notated similarly to those they approximate and enharmonic equivalents are distinct from those of 12 equal temperament (e.g., A ♯ /C ♭ ).
Major chord on C in 17 EDO : All notes are within 37 cents of just intonation (rather than 14 cents for 12 EDO ).
17 EDO
just
12 EDO
I–IV–V–I chord progression in 17 EDO . [ 4 ] Whereas in 12 EDO , B ♮ is 11 steps, in 17 EDO , B ♮ is 16 steps.