Syntonic–diatonic equivalence continuum: Difference between revisions

Uncle (5-limit): I forgot about the n and m values. Also "perfect" is kinda dubious here
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: ''For extensions, see [[Trienstonic clan #Uncle]].''
: ''For extensions, see [[Trienstonic clan #Uncle]].''


The 5-limit version of uncle tempers out [[4096/3645]]. It is generated by a perfect fifth that is supposedly sharper than [[5edo|3\5]], so it leads to an [[5L 3s|oneirotonic]] scale, or otherwise a [[5L 2s|diatonic]] scale with negative small steps. The interval class of 5 is found at -6 fifths, as a major 2-step in oneirotonic, or a diminished fifth (C–Gb) in diatonic.  
The 5-limit version of uncle tempers out [[4096/3645]]. It is generated by a fifth that is supposedly sharper than [[5edo|3\5]], so it leads to an [[5L 3s|oneirotonic]] scale, or otherwise a [[5L 2s|diatonic]] scale with negative small steps. The interval class of 5 is found at -6 fifths, as a major 2-step in oneirotonic, or a diminished fifth (C–Gb) in diatonic. It corresponds to {{nowrap| ''n'' {{=}} -1/2 }} or {{nowrap| ''m'' {{=}} 1/3 }}.  


[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5