Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) →map space vs. tuning space: add new diagram |
Cmloegcmluin (talk | contribs) →vectors and covectors: add WolframAlpha demo |
||
| Line 60: | Line 60: | ||
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. | ||
{| class="wikitable" | |||
|+WolframAlpha code ([https://www.wolframalpha.com/input/?i=%7B12%2C19%2C28%7D.%7B-1%2C1%2C0%7D try it]) | |||
!input | |||
!output | |||
|- | |||
|<code>{12,19,28}.{-1,1,0}</code> | |||
|7 | |||
|} | |||
=== tempering out commas === | === tempering out commas === | ||