36edo: Difference between revisions

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Another way to notate the microtonal notes which doesn't rely on colors is to use [[Alternative symbols for ups and downs notation#Sharp-3|ups and downs]], where sharps and flats with arrows, borrowed from extended [[Helmholtz-Ellis notation]], can be used for this purpose.

Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing ~~the seventh harmonic~~ are frequently used. The 5th and 11th ~~harmonic~~ 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 5:6 and flatly approximates 9~~:11~~, for instance, whereas the sharp 9~~:11~~ is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and ~~11:~~15 ~~each~~ have ~~a single (very close) approximation~~ since ~~they contain both~~ the 5th and 11th ~~harmonic~~.

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.

36edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, and because 9edo can be notated as every fourth note of 36edo, pelog (and mavila) easily ~~adapt~~ to it. Slendro can be approximated in several different ways. 36edo can function as a "bridge" between these genres and Western music. Arabic music ~~does~~ not adapt as well, however, since ~~many versions contain~~ quarter tones.

36edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, and because 9edo can be notated as every fourth note of 36edo, Indonesian gamelan music using pelog (and mavila) easily adapts to it. Though Slendro is better represented in [[5edo]], it can also be approximated in 36edo in several different ways. 36edo can therefore function as a "bridge" between these genres and Western music. Arabic and Persian music do not adapt as well, however, since their microtonal intervals consist of mostly quarter tones.

The "red unison" and "blue unison" are in fact the same interval (33.333 cents), which is actually fairly consonant as a result of being so narrow (it is perceived as a unison, albeit noticeably "out of tune", but still not overly unpleasant). In contrast, most people consider 24edo's 50 cent step to ~~sounds~~ much more discordant.

The "red unison" and "blue unison" are in fact the same interval (33.333 cents), which is actually fairly consonant as a result of being so narrow (it is perceived as a unison, albeit noticeably "out of tune", but still not overly unpleasant). In contrast, most people consider 24edo's 50 cent step to sound much more discordant when used as a subminor second.

People with perfect (absolute) pitch often have a difficult time listening to xenharmonic and non-12edo scales, which is due to their ability to memorize and become accustomed to the pitches and intervals of 12edo, which results in other pitches and intervals sounding out of tune. This is not as much of a problem with 36edo, due to its similarity to 12. With practice, it might even be possible to extend one's perfect pitch to be able to recognize blue and red notes.

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 Another way to notate the microtonal notes which doesn't rely on colors is to use [[Alternative symbols for ups and downs notation#Sharp-3|ups and downs]], where sharps and flats with arrows, borrowed from extended [[Helmholtz-Ellis notation]], can be used for this purpose.
-Because of the presence of blue notes, and the closeness with which intervals such as 4:7 are matched, 36edo is an ideal scale to use for African-American styles of music such as blues and jazz, in which chords containing the seventh harmonic are frequently used. The 5th and 11th harmonic 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 5:6 and flatly approximates 9:11, for instance, whereas the sharp 9:11 is 366.667 cents and the flat 5:6 is 300 cents. However, 10:11 and 11:15 each have a single (very close) approximation since they contain both the 5th and 11th harmonic.
+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.
-edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, and because 9edo can be notated as every fourth note of 36edo, pelog (and mavila) easily adapt to it. Slendro can be approximated in several different ways. 36edo can function as a "bridge" between these genres and Western music. Arabic music does not adapt as well, however, since many versions contain quarter tones.
+edo is fairly cosmopolitan because many other genres of world music can be played in it too. Because it contains 9edo as a subset, and because 9edo can be notated as every fourth note of 36edo, Indonesian gamelan music using pelog (and mavila) easily adapts to it. Though Slendro is better represented in [[5edo]], it can also be approximated in 36edo in several different ways. 36edo can therefore function as a "bridge" between these genres and Western music. Arabic and Persian music do not adapt as well, however, since their microtonal intervals consist of mostly quarter tones.
-The "red unison" and "blue unison" are in fact the same interval (33.333 cents), which is actually fairly consonant as a result of being so narrow (it is perceived as a unison, albeit noticeably "out of tune", but still not overly unpleasant). In contrast, most people consider 24edo's 50 cent step to sounds much more discordant.
+The "red unison" and "blue unison" are in fact the same interval (33.333 cents), which is actually fairly consonant as a result of being so narrow (it is perceived as a unison, albeit noticeably "out of tune", but still not overly unpleasant). In contrast, most people consider 24edo's 50 cent step to sound much more discordant when used as a subminor second.
 People with perfect (absolute) pitch often have a difficult time listening to xenharmonic and non-12edo scales, which is due to their ability to memorize and become accustomed to the pitches and intervals of 12edo, which results in other pitches and intervals sounding out of tune. This is not as much of a problem with 36edo, due to its similarity to 12. With practice, it might even be possible to extend one's perfect pitch to be able to recognize blue and red notes.