36edo: Difference between revisions

One way of notating 36edo (at least for people who aren't colorblind) is to use colors. For example, '''A''' is 33.333 cents above '''<span style="background-color: #6ee8e8; color: #071ac7;">A</span>''' and 33.333 cents below '''<span style="background-color: #eda2a2; color: #ff0000;">A</span>'''. Or the colors could be written out (red A, blue C#, etc.) or abbreviated as rA, bC#, etc. This use of red and blue is consistent with [[Kite's_color_notation|color notation]] (ru and zo).

Because of the presence of blue notes, and the closeness with which intervals such as 7/4 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which the 7th harmonic and chords containing 7 are frequently used. The 5th and 11th harmonics fall almost halfway in between scale degrees of 36edo, and thus intervals containing them can be approximated two different ways, one of which is significantly sharp and the other significantly flat. The 333.333-cent interval (the "red minor third") sharply approximates 6/5 and flatly approximates 11/9, for instance, whereas the sharp 11/9 is 366.667 cents and the flat 6/5 is 300 cents. However, 11/10, 20/11, 15/11, and 22/15 all have accurate and consistent approximations since the errors on the 5th and 11th harmonics cancel out with both tending sharp.