17 equal temperament

Alexander J. Ellis refers to a tuning of seventeen tones based on perfect fourths and fifths as the Arabic scale. 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. This 17-tone system remained the primary theoretical system until the development of the quarter tone scale. ==Notation==

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). Easley Blackwood Jr. created a notation system where sharps and flats raised/lowered 2 steps, identical to ups and downs notation for 17-EDO. ((10*7) mod 17 = 2.) This yields the chromatic scale: :C, D, C, D, E, D, E, F, G, F, G, A, G, A, B, A, B, C Quarter tone sharps and flats can also be used, yielding the following chromatic scale: :C, C/D, C/D, D, D/E, D/E, E, F, F/G, F/G, G, G/A, G/A, A, A/B, A/B, B, C ==Interval size==

Below are some intervals in compared to just. on C in : All notes are within 37 cents of just intonation (rather than 14 cents for ). in . Whereas in B is 11 steps, in B is 16 steps. : Relation to 34 EDO is a subset of ==References==