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| | en = Consistent | | | en = Consistency |
| | de = konsistent | | | de = Konsistent |
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| | ja = 一貫性 | | | ja = 一貫性 |
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| Examples of more advanced concepts that build on this are [[telicity]] and [[#Maximal consistent set|maximal consistent set]]s. | | Examples of more advanced concepts that build on this are [[telicity]] and [[User:Inthar/Maximal_consistent_set|maximal consistent set]]s. |
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| == Maximal consistent set ==
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| Non-technically, a '''maximal consistent set''' (MCS) is a piece of a [[JI subgroup]] such that when you add another interval which is adjacent to the piece (viewed as a chord), then the piece becomes inconsistent in the edo.
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| Formally, given ''N''-edo, a consistent chord ''C'' and a [[JI subgroup]] ''G'' [[generator|generated]] by the octave and the intervals in ''C'', a ''maximal consistent set'' is a connected set ''S''(connected via intervals that occur in C) such that adding another interval adjacent to ''S'' via an interval in ''C'' results in a chord that is inconsistent in ''N''-edo. The ''maximal connected neighborhood'' (MCN) of ''C'' is a maximal consistent set containing ''C''.
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| == For non-octave tunings == | | == For non-octave tunings == |