Father–3 equivalence continuum: Difference between revisions
Explain the 2.5-subgroup version of this |
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Because 3et is a record equal temperament in both 2.3 and [[2.5 subgroup]]s, there is another way to conceptualize this continuum. The characteristic 2.5-subgroup comma is [[128/125]], and the interval with a single factor of 3 is [[25/24]]. As such, Godtone has conceptualized this continuum as '' | Because 3et is a record equal temperament in both 2.3 and [[2.5 subgroup]]s, there is another way to conceptualize this continuum. The characteristic 2.5-subgroup comma is [[128/125]], and the interval with a single factor of 3 is [[25/24]]. As such, Godtone has conceptualized this continuum as ''augmented–dicot equivalence continuum''. See [[{{PAGENAME}}/Godtone's approach]]. | ||
Others prefer conceptualizing this continuum in terms of {{nowrap| ''k'' {{=}} {{sfrac|1|''n'' − 2}} }} such that temperaments satisfy {{nowrap|(25/24)<sup>''k''</sup> {{=}} 16/15}}. This gives rise to the name ''chromatic–diatonic equivalence continuum'', where both ''chromatic'' and ''diatonic'' refer to the classical versions of semitones. The just value of ''k'' is approximately 1.58097… | Others prefer conceptualizing this continuum in terms of {{nowrap| ''k'' {{=}} {{sfrac|1|''n'' − 2}} }} such that temperaments satisfy {{nowrap|(25/24)<sup>''k''</sup> {{=}} 16/15}}. This gives rise to the name ''chromatic–diatonic equivalence continuum'', where both ''chromatic'' and ''diatonic'' refer to the classical versions of semitones. The just value of ''k'' is approximately 1.58097… | ||