Tuning map: Difference between revisions
Cmloegcmluin (talk | contribs) prefer "vanish" to "temper out" |
Cmloegcmluin (talk | contribs) →Generator tuning map: add way to convert the other direction between the two types of tuning maps |
||
| Line 11: | Line 11: | ||
It may be helpful, then, to think of the units of each entry of a generator tuning map as <math>{\large\mathsf{¢}}\small /𝗴</math> (read "cents per generator"), <math>\small \mathsf{oct}/𝗴</math> (read "octaves per generator"), or any other logarithmic pitch unit per generator. | It may be helpful, then, to think of the units of each entry of a generator tuning map as <math>{\large\mathsf{¢}}\small /𝗴</math> (read "cents per generator"), <math>\small \mathsf{oct}/𝗴</math> (read "octaves per generator"), or any other logarithmic pitch unit per generator. | ||
From the generator tuning map <math>𝒈</math> and the mapping <math>M</math>, we can obtain the tuning map <math>𝒕</math> as <math> | From the generator tuning map <math>𝒈</math> and the mapping <math>M</math>, we can obtain the tuning map <math>𝒕</math> as <math>𝒈M</math>. To go the other way — that is, to find the generator tuning map from the (primes) tuning map — we can multiply the tuning map by any right-inverse of the mapping, such as the [[pseudoinverse]] <math>M^{+}</math>, as in <math>𝒈 = 𝒕M^{+}</math>. For more information, see the explanation [[Dave_Keenan_%26_Douglas_Blumeyer%27s_guide_to_RTT:_tuning_in_nonstandard_domains#9._Find_pseudoinverse|here]]. | ||
== Example == | == Example == | ||