Mapped interval: Difference between revisions
Cmloegcmluin (talk | contribs) include jargon terms |
Cmloegcmluin (talk | contribs) No edit summary |
||
| Line 9: | Line 9: | ||
* Visually, a 'Y' also looks like a diagram showing — from the top — two just intervals getting mapped to the same size. | * Visually, a 'Y' also looks like a diagram showing — from the top — two just intervals getting mapped to the same size. | ||
* A 'y' also looks like a 'g', which is fitting because <math>\mathbf{y}</math> is a generator-count vector, associated with the generator tuning map <math>𝒈</math>, in the sense that intervals are associated with (tempered-prime) tuning maps <math>𝒕</math>, or in other words, <math>𝒕\textbf{i} = 𝒈\textbf{y}</math>. | * A 'y' also looks like a 'g', which is fitting because <math>\mathbf{y}</math> is a generator-count vector, associated with the generator tuning map <math>𝒈</math>, in the sense that intervals are associated with (tempered-prime) tuning maps <math>𝒕</math>, or in other words, <math>𝒕\textbf{i} = 𝒈\textbf{y}</math>. | ||
A "mapped interval" could also be called a "tempered interval", however, "tempered interval" is more ambiguous; "tempered interval" could also refer to a [[span|size]] resulting from mapping an interval by a [[tuning map]] for a temperament (in the same sense that "interval" is used to refer to a "(just) interval's (size)", or it could even refer to a [[projected interval]] such as the {{ket|0 0 1/4}} generator of quarter-comma meantone. Only "''mapp''ed interval" unambiguously refers to an interval that has been transformed only by the ''mapp''ing matrix for a temperament. | |||
==See also== | ==See also== | ||