User:Astaryuu/15edo Notes/Notes and chords: Difference between revisions
Created page with "==The semitone== In 12edo, an "edostep" is 100 cents exactly - this is the definition of a cent, in fact. However, 15edo's edostep has edosteps of 80¢. This is initially noticeably distinct from the semitone, which in standard harmony is usually defined as 1\12 exactly. Note the notation: two numbers on either side of a back slash, in the form X\Y, mean X steps of Y, so 1\12 is one step in 12edo. While it's not quite the 100¢ "standard" semitone size, 1\15 is similar..." |
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==Inside you are two fifths (and two tritones)== | ==Inside you are two fifths (and two tritones)== | ||
15edo... doesn't really have a fifthy fifth. 12edo's fifth sounds the way it does because it's an extremely good estimation of a so-called "perfect fifth". The best fifth is 9\15, but that sounds notably sharp. Again, you can probably get used to it, but it'll mean 12edo strategies might sound a bit off in it. That's not what it means to be "wolf", though. | 15edo... doesn't really have a fifthy fifth. 12edo's fifth sounds the way it does because it's an extremely good estimation of a so-called "perfect fifth". The best fifth in 15edo is 9\15, but that sounds notably sharp. Again, you can probably get used to it, but it'll mean 12edo strategies might sound a bit off in it. That's not what it means to be "wolf", though. | ||
The actual wolf fifth, is the valentine semitone ''below'' that 720¢ interval. At 640¢, meet 8\15, the wolf fifth. You could think of this as four neutral seconds stacked on top of each other, but at that point the margin between the neutral second and 2\15 goes beyond the diesis. This is actually also a tritone. Since 15 is odd, there is no true position halfway between octaves - but 7\15 and 8\15 bracket that midpoint. | The actual wolf fifth, is the valentine semitone ''below'' that 720¢ interval. At 640¢, meet 8\15, the wolf fifth. You could think of this as four neutral seconds stacked on top of each other, but at that point the margin between the neutral second and 2\15 goes beyond the diesis. This is actually also a tritone. Since 15 is odd, there is no true position halfway between octaves - but 7\15 and 8\15 bracket that midpoint. | ||