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commas needed to use the diesis to approximate higher limit intervals. |
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=== As an interval === | === As an interval === | ||
If the diesis is treated as a musical interval in its own right as opposed to tempering it out, it is approximately a quarter-tone and so can be used to introduce [[7-limit]] and [[11-limit]] harmony into 5-limit scales. The simplest way to accomplish this is tempering out [[126/125]] and [[4125/4096]] to equate it with [[64/63]] and [[33/32]]. | If the diesis is treated as a musical interval in its own right as opposed to tempering it out, it is approximately a quarter-tone and so can be used to introduce [[7-limit]] and [[11-limit]] harmony into 5-limit scales. The simplest way to accomplish this is tempering out [[126/125]] and [[4125/4096]] to equate it with [[64/63]] and [[33/32]]. Alternately, tempering out [[5632/5625]] equates it with [[45/44]] in a more accurate but complex way. | ||
== Trivia == | == Trivia == | ||