Delta-rational chord: Difference between revisions

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Deltas that are ''free'', i.e. not required to be related to any other deltas are indicated with +?. For example, saying that a tetrad is "{{nowrap|+1 +? +1}}" means the first two notes and the last two notes have almost equal frequency difference (thus the ratio between the differences is 1/1), but the middle two notes are not in any simple relationship with the two outer dyads. The example 13edo chord is approximately {{nowrap|+1 +? +1}}.

If you have some sets of deltas related to each other but not to other sets of increments, you could write the related sets with variables a, b, c or use one fewer letter by writing one set with positive integers without variables: an {{nowrap|+a +b +a +b}} chord can also be written {{nowrap|+1 +c +1 +c}} where ~~{{nowrap|~~c = b/a}}.

If you have some sets of deltas related to each other but not to other sets of increments, you could write the related sets with variables a, b, c or use one fewer letter by writing one set with positive integers without variables: an {{nowrap|+a +b +a +b}} chord can also be written {{nowrap|+1 +c +1 +c}} where c = b/a.

Fully delta-rational chords always have a delta signature with no irrational ratios between terms.

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 Deltas that are ''free'', i.e. not required to be related to any other deltas are indicated with +?. For example, saying that a tetrad is "{{nowrap|+1 +? +1}}" means the first two notes and the last two notes have almost equal frequency difference (thus the ratio between the differences is 1/1), but the middle two notes are not in any simple relationship with the two outer dyads. The example 13edo chord is approximately {{nowrap|+1 +? +1}}.
-If you have some sets of deltas related to each other but not to other sets of increments, you could write the related sets with variables a, b, c or use one fewer letter by writing one set with positive integers without variables: an {{nowrap|+a +b +a +b}} chord can also be written {{nowrap|+1 +c +1 +c}} where {{nowrap|c = b/a}}.
+If you have some sets of deltas related to each other but not to other sets of increments, you could write the related sets with variables a, b, c or use one fewer letter by writing one set with positive integers without variables: an {{nowrap|+a +b +a +b}} chord can also be written {{nowrap|+1 +c +1 +c}} where c = b/a.
 Fully delta-rational chords always have a delta signature with no irrational ratios between terms.