Douglas Blumeyer's RTT How-To: Difference between revisions

Cmloegcmluin (talk | contribs)
m vectors and covectors: revise wording per Steve Martin's suggestion not to potentially imply octaves must be pure
Cmloegcmluin (talk | contribs)
m vectors and covectors: Steve Martin suggestion to acknowledge WolframAlpha's different syntax
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For another example, can quickly find the fifth size for 12-EDO from its map, because 3/2 is {{monzo|-1 1 0}}, and so {{val|12 19 28}}{{monzo|-1 1 0}} = (12 × -1) + (19 × 1) = 7. Similarly, the major third — 5/4, or {{monzo|-2 0 1}} — is simply 28 - 12 - 12 = 4.
For another example, can quickly find the fifth size for 12-EDO from its map, because 3/2 is {{monzo|-1 1 0}}, and so {{val|12 19 28}}{{monzo|-1 1 0}} = (12 × -1) + (19 × 1) = 7. Similarly, the major third — 5/4, or {{monzo|-2 0 1}} — is simply 28 - 12 - 12 = 4.
WolframAlpha's syntax is slightly different than what we use in RTT, but it's pretty alright for a free online tool capable of handling most of the math we need to do in RTT, so we're going to be supplementing several topics with WolframAlpha examples as we go. Here's the first:


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