User:Eliora/Concoctic scale: Difference between revisions
m Fredg999 moved page Concoctic to Concoctic scale: Use nouns in article titles (especially when the qualifier only applies to one thing) |
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Therefore the remainder of +1 means that such a scale will always be orthoconcoctic. This type of scale, when used in keyboard making, produces two bundles of white keys whose numbers of black keys inside of them are 1 number apart, and so are the numbers of white keys themselves. The sequence goes as follows: 5\8, 7\12, 9\16, 11\20, etc. | Therefore the remainder of +1 means that such a scale will always be orthoconcoctic. This type of scale, when used in keyboard making, produces two bundles of white keys whose numbers of black keys inside of them are 1 number apart, and so are the numbers of white keys themselves. The sequence goes as follows: 5\8, 7\12, 9\16, 11\20, etc. | ||
=== Temperaments === | |||
Since maximal evenness scales can be used to generate a temperament by merging the note count in the period and the period cardinality, in this case being 1 octave, an array of concoctic temperaments can be defined through such mergers. For example, temperament taken this way from 12edo, 7 & 12, is meantone, and is predominantly in use in the world's music today. | |||
== List == | == List == | ||
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! colspan="2" |MOS | ! colspan="2" |MOS | ||
! colspan="2" |Generator Size (cents) | ! colspan="2" |Generator Size (cents) | ||
!Associated Ratio | ! rowspan="2" |Associated Ratio | ||
!Notes | !Notes | ||
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!Below 1\2 | !Below 1\2 | ||
!Above 1\2 | !Above 1\2 | ||
! | ! | ||
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