User:Squib/Unnamed music theory: Difference between revisions

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==Theory==
==Theory==


All pitches in a tuning are created by multiplying together some (perhaps fractional) number of 2/1 and 3/1. This avoids the unnecessary clutter and numbers associated with RTT by specifying which notes are available in a tuning instead of specifying equivalences.


For example, without already knowing that 243/242 is the difference between 3/2 and a stack of two 11/9s, it's very difficult to tell that tempering it out spits the fifth in half. It's much more natural to simply say that the fifth is split in half, and then that hemififth can be easily used as 11/9 without having to factor 243 first.


==Derivation==
==Derivation==