1-3-5-9-11 dekany: Difference between revisions

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An 11-limit [[dekany]]. This creates a scale of 1 33/32 9/8 55/48 5/4 11/8 3/2 5/3 11/6 15/8 2/1, with steps of 33/32 12/11 55/54 12/11 11/10 12/11 10/9 11/10 45/44 16/15. This is a detemper of the [[porcupine]] scale, a 9 note chain of 10/9's, 11/10's and 12/11's that slightly overwraps the octave, while distinguishing two notes (the 9/8~8/7~55/48) that are conflated together in porcupine temperament, allowing you to use either to give chords different favours. Any music that is composed using the 7 or 8 note porcupine mos scales can also be played using this dekany and retain recognisability, although there are some wolf intervals, as with any conversion from an equalised scale to a just intonation one.

[[File:Dekany 1 3 5 9 11.png|thumb|Circle diagram.]] An 11-limit [[dekany]]. This creates a scale of 1 33/32 9/8 55/48 5/4 11/8 3/2 5/3 11/6 15/8 2/1, with steps of 33/32 12/11 55/54 12/11 11/10 12/11 10/9 11/10 45/44 16/15. This is a detemper of the [[porcupine]] scale, a 9 note chain of 10/9's, 11/10's and 12/11's that slightly overwraps the octave, while distinguishing two notes (the 9/8~8/7~55/48) that are conflated together in porcupine temperament, allowing you to use either to give chords different favours. Any music that is composed using the 7 or 8 note porcupine mos scales can also be played using this dekany and retain recognisability, although there are some wolf intervals, as with any conversion from an equalised scale to a just intonation one.

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	An 11-limit [[dekany]]. This creates a scale of 1 33/32 9/8 55/48 5/4 11/8 3/2 5/3 11/6 15/8 2/1, with steps of 33/32 12/11 55/54 12/11 11/10 12/11 10/9 11/10 45/44 16/15. This is a detemper of the [[porcupine]] scale, a 9 note chain of 10/9's, 11/10's and 12/11's that slightly overwraps the octave, while distinguishing two notes (the 9/8~8/7~55/48) that are conflated together in porcupine temperament, allowing you to use either to give chords different favours. Any music that is composed using the 7 or 8 note porcupine mos scales can also be played using this dekany and retain recognisability, although there are some wolf intervals, as with any conversion from an equalised scale to a just intonation one.		[[File:Dekany 1 3 5 9 11.png\|thumb\|Circle diagram.]] An 11-limit [[dekany]]. This creates a scale of 1 33/32 9/8 55/48 5/4 11/8 3/2 5/3 11/6 15/8 2/1, with steps of 33/32 12/11 55/54 12/11 11/10 12/11 10/9 11/10 45/44 16/15. This is a detemper of the [[porcupine]] scale, a 9 note chain of 10/9's, 11/10's and 12/11's that slightly overwraps the octave, while distinguishing two notes (the 9/8~8/7~55/48) that are conflated together in porcupine temperament, allowing you to use either to give chords different favours. Any music that is composed using the 7 or 8 note porcupine mos scales can also be played using this dekany and retain recognisability, although there are some wolf intervals, as with any conversion from an equalised scale to a just intonation one.

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