Mike's lecture on vector spaces and dual spaces: Difference between revisions
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m Undo revision 203568 by VectorGraphics (talk). This is Mike's essay |
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# First you go down 4 octaves, at a rate of 12 steps per octave, putting you underwater at −48 steps. | # First you go down 4 octaves, at a rate of 12 steps per octave, putting you underwater at −48 steps. | ||
# Then, you go up 4 tritaves, times 19 steps per tritave, giving you 76 steps. This lands you at a net of {{nowrap|−48 + 76 {{=}} 28}} steps. | # Then, you go up 4 tritaves, times 19 steps per tritave, giving you 76 steps. This lands you at a net of {{nowrap|−48 + 76 {{=}} 28}} steps. | ||
# Finally, you go down one 5/1, times 28 steps per 5/1, putting you down 28 more steps. This lands you at a net of {{nowrap|28 − 28 steps {{=}} 0}}. | |||
So, if you mechanically work out the way that you'd compute how many steps 81/80 is in 12-EDO, you get 0 steps, meaning you're back at 1/1 and hence tempered out. No surprise there. | So, if you mechanically work out the way that you'd compute how many steps 81/80 is in 12-EDO, you get 0 steps, meaning you're back at 1/1 and hence tempered out. No surprise there. | ||