Arcturus: Difference between revisions

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Having an ~5:3 as a generator, this temperament is the application of the Pythagorean principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to tritave composition. However, a heptatonic MOS (2L 5s) will not suffice to produce an understandable rendition of it because a very close ~5:3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament. Below is.a list of MOS families which present it completely (however smearily) using a generator of 845.3 to 951.0 cents:
'''Arcturus''' is a no-twos temperament which tempers out the comma 15625/15309. Having an ~5:3 as a generator, this temperament is the application of the Pythagorean principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to tritave composition. However, a heptatonic MOS (2L 5s) will not suffice to produce an understandable rendition of it because a very close ~5:3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament. Below is.a list of MOS families which present it completely (however smearily) using a generator of 845.3 to 951.0 cents:


[[Sub-Arcturus|Mini chromatic]]
[[Sub-Arcturus|Mini chromatic]]