1-3-7-13-15 dekany: Difference between revisions
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[[File:1-3-7-13-15_Dekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 65/64 13/12 35/32 7/6 5/4 13/8 7/4 15/8 91/48, with steps of 65/64 16/15 105/104 16/15 15/14 13/10 14/13 15/14 91/90 96/91. This does have three perfect fifths, but they are all clustered on one side of the scale, and there is a massive gap on the other side. This makes it a very incomplete detempered version of [[negri]], with multiple close notes that would be tempered together in a regular temperament. This means it can create many different xenharmonic sounds, but needs further expansion to approximate any kind of familiar songwriting. | [[File:1-3-7-13-15_Dekany.png|thumb|Circle diagram.]] A [[15-odd-limit]] [[dekany]]. This creates a scale of 1 65/64 13/12 35/32 7/6 5/4 13/8 7/4 15/8 91/48, with steps of 65/64 16/15 105/104 16/15 15/14 13/10 14/13 15/14 91/90 96/91. This does have three perfect fifths, but they are all clustered on one side of the scale, and there is a massive gap on the other side. This makes it a very incomplete detempered version of [[negri]], with multiple close notes that would be tempered together in a regular temperament. This means it can create many different xenharmonic sounds, but needs further expansion to approximate any kind of familiar songwriting. A good example of how to accomplish is the [[3-7-13-15 stellated hexany]]. | ||
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! 1-3-7-13-15_Dekany.scl | ! 1-3-7-13-15_Dekany.scl | ||
Latest revision as of 00:32, 26 December 2025
A 15-odd-limit dekany. This creates a scale of 1 65/64 13/12 35/32 7/6 5/4 13/8 7/4 15/8 91/48, with steps of 65/64 16/15 105/104 16/15 15/14 13/10 14/13 15/14 91/90 96/91. This does have three perfect fifths, but they are all clustered on one side of the scale, and there is a massive gap on the other side. This makes it a very incomplete detempered version of negri, with multiple close notes that would be tempered together in a regular temperament. This means it can create many different xenharmonic sounds, but needs further expansion to approximate any kind of familiar songwriting. A good example of how to accomplish is the 3-7-13-15 stellated hexany.
! 1-3-7-13-15_Dekany.scl ! 1 3 7 13 15 2-combination Dekany 10 ! 26.841 138.572 155.139 266.871 386.313 840.527 968.825 1088.268 1107.398 1200
Suggested keyboard mapping: Start on C, skipping the F# & G notes.