User:Contribution/Exploring Selected Modes in 12-EDO: Difference between revisions

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== MOS series tempering out commas ==
== MOS series tempering out commas ==
Due to the octave equivalence principle within the odd-limit concept, the 5-odd-limit contains only two prime numbers: 3 and 5. Consequently, all 12-tet distinctly tempered commas possess at least one rank-2 MOS series of intervals that tempers them out.
Due to the octave equivalence principle inherent in odd-limits, the 5-odd-limit contains only two primes: 3 and 5. Consequently, all ratios distinctly tempered out in 12-tet possess at least one rank-2 MOS series of 5-odd-limit intervals that tempers them out.
{| class="wikitable center-3"
{| class="wikitable center-3"
|+
|+
All MOS series of intervals tempering out 12-tet distinctly tempered commas
All MOS series of odd-intervals tempering out ratios distinctly in 12-tet
! colspan="2" |Perfect circle
! colspan="2" |Perfect circle
!Ratio
!Ratio