User:VectorGraphics/Walker brightness notation: Difference between revisions
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'''Walker brightness notation''' is a way of naming intervals "invented" by Jay Walker / [[User:VectorGraphics|VectorGraphics]]. It names intervals purely based on their sizes, ignoring [[just intonation]] and [[MOS scale]]s almost entirely (though it takes names from them, specifically [[5L 2s|diatonic]], for the sake of recognizability). | '''Walker brightness notation''' is a way of naming intervals "invented" by Jay Walker / [[User:VectorGraphics|VectorGraphics]]. It names intervals purely based on their sizes, ignoring [[just intonation]] and [[MOS scale]]s almost entirely (though it takes names from them, specifically [[5L 2s|diatonic]], for the sake of recognizability). | ||
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=== 6. Resolve ambiguities (stage 5) === | === 6. Resolve ambiguities (stage 5) === | ||
By this point, except for commas, the octave has been subdivided into 10-20c interval regions, suitable for notating edos as large as 71edo without any problems. Where intervals need to be named more precisely than this, however, | By this point, except for commas, the octave has been subdivided into 10-20c interval regions, suitable for notating edos as large as 71edo without any problems. Where intervals need to be named more precisely than this, however, intervals within a range can be described as follows: | ||
- label the smallest and largest intervals in a region "small" and "large". | |||
- if there is an odd number of intervals in a region, label the middle one "medium". if there is an even number, label the middle two "under-medium" (for the lower note) and "over-medium" (for the higher one). (if there are only two intervals in a region, they keep the names small and large.) | |||
- "under" and "over" refer to the next smallest and largest intervals from a certain point, and can be stacked with exponents as a shorthand. | |||
as an example: | |||
{| class="wikitable" | |||
|+ | |||
!Interval (cents) | |||
!Name | |||
|- | |||
|176 | |||
|small artomajor second | |||
|- | |||
|178 | |||
|over-small artomajor second | |||
|- | |||
|181 | |||
|under-medium artomajor second | |||
|- | |||
|183 | |||
|medium artomajor second | |||
|- | |||
|185 | |||
|over-medium artomajor second | |||
|- | |||
|187 | |||
|under-large artomajor second | |||
|- | |||
|189 | |||
|large artomajor second | |||
|- | |||
|192 | |||
|small major second | |||
|- | |||
|194 | |||
|over-small major second | |||
|- | |||
|196 | |||
|under-medium major second | |||
|- | |||
|198 | |||
|over-medium major second | |||
|- | |||
|200 | |||
|under-large major second | |||
|- | |||
|203 | |||
|large major second | |||
|- | |||
|207 | |||
|small tendomajor second | |||
|- | |||
|214 | |||
|large tendomajor second | |||
|} | |||
[[Category:Interval naming]] | [[Category:Interval naming]] |