Delta-rational chord: Difference between revisions

Line 21:

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 intervals. The example 13edo chord is approximately {{nowrap|+1 +? +1}}.

~~<adv>~~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}}.~~</adv>~~

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}}.

== Mathematical definitions ==

@@ Line 21: / Line 21: @@
 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 intervals. The example 13edo chord is approximately {{nowrap|+1 +? +1}}.
-<adv>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}}.</adv>
+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}}.
 == Mathematical definitions ==