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

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== MOS series ==
== MOS series ==
Due to the octave equivalence principle inherent in odd-limits, the 5-odd-limit contains only two primes: 3 and 5. As a result, every ratio distinctly tempered in 12-tet possess at least one rank-2 MOS series of 5-odd-limit 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. As a result, every ratio distinctly tempered 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"
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|3<sup>8</sup> • 5<sup>-11</sup>
|3<sup>8</sup> • 5<sup>-11</sup>
|}
|}
== Modes ==
== Modes ==
=== Modes of limited transposition ===
=== Modes of limited transposition ===


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|}
|}


= Mode notes =
== Scales notes ==


{| class="wikitable center-all"
{| class="wikitable center-all"
|+style=white-space:nowrap| Messiaen's scales
|+style=white-space:nowrap| Scales of limited transposition
|+
|+
!1 1 1 1 1 1 1 1 1 1 1 1
!1 1 1 1 1 1 1 1 1 1 1 1
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|}
|}


= Modes series =
== Modes series ==


=== Modes of limited transposition ===
=== Modes of limited transposition ===
{| class="wikitable"
{| class="wikitable"
|+
|+