Mapped interval: Difference between revisions
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Here are several mnemonics for the use of <math>\textbf{y}</math> as the symbol for mapped intervals: | Here are several mnemonics for the use of <math>\textbf{y}</math> as the symbol for mapped intervals: | ||
* The letter | * The letter "y" is linguistically similar to the letter "i", the obvious letter for (just) intervals. | ||
* Visually, a | * Visually, a "Y" also looks like a diagram showing—from the top—wo 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>. | ||
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== See also == | == See also == | ||
* [[Dave Keenan & Douglas Blumeyer's guide to RTT/Tuning fundamentals#The RTT version]]: another take at explaining mapped intervals | |||
* [[Dave Keenan & Douglas Blumeyer's guide to RTT | * [[Dave Keenan & Douglas Blumeyer's guide to RTT/Units analysis#Mapped interval]]: a units analysis of mapped intervals (also [[Dave Keenan & Douglas Blumeyer's guide to RTT/Units analysis#Rank-2 mapped interval|the following section, for a rank-2 example]]) | ||
* [[Dave Keenan & Douglas Blumeyer's guide to RTT | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Tuning]] | [[Category:Tuning]] | ||