Adaptive diatonic interval names: Difference between revisions
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For the minor side of any interval class, swap "major" and "minor", "sub" and "super/supra" (super applies only to major and unqualified intervals, other types use supra), "ultra" and "infra", and "arto" and "tendo" (in all senses). | For the minor side of any interval class, swap "major" and "minor", "sub" and "super/supra" (super applies only to major and unqualified intervals, other types use supra), "ultra" and "infra", and "arto" and "tendo" (in all senses). | ||
Fourths and fifths have the special exception that the closest fourth and fifth to 4/3 and 3/2 respectively receive the label "perfect". If the interval that was relabeled "perfect" was major, novamajor, neomajor, pentamajor, trimajor, shrubmajor, or magimajor, all "major" intervals of that class have the word "major" removed; same goes for "minor". | Fourths and fifths have the special exception that the closest fourth and fifth to 4/3 and 3/2 respectively receive the label "perfect". If the interval that was relabeled "perfect" was major, novamajor, neomajor, pentamajor, trimajor, shrubmajor, submajor, supermajor, or magimajor, all "major" intervals of that class have the word "major" removed; same goes for "minor", except when "minor" or "major" is the only word in the interval quality. | ||
For tritones, start at the semi-octave. If the semioctave exists in the scale, label it "neutral tritone", otherwise label the two closest intervals "artoneutral tritone" for the smaller and "tendoneutral tritone" for the larger. Label the sharpest tritone interval flatter than the neutral or artoneutral tritone "narrow tritone" (and label its complement "wide tritone"). If the interval closest to 565 cents has not already been labelled as a tritone, label it a "subtritone". If there are intervals between the subtritone and narrow tritone, label "grave tritone" if only 1 interval and "grave tritone" (for the smaller) and "small tritone" (for the larger) if there are two. Label the tritone interval one step smaller than the subtritone the infratritone. | For tritones, start at the semi-octave. If the semioctave exists in the scale, label it "neutral tritone", otherwise label the two closest intervals "artoneutral tritone" for the smaller and "tendoneutral tritone" for the larger. Label the sharpest tritone interval flatter than the neutral or artoneutral tritone "narrow tritone" (and label its complement "wide tritone"). If the interval closest to 565 cents has not already been labelled as a tritone, label it a "subtritone". If there are intervals between the subtritone and narrow tritone, label "grave tritone" if only 1 interval and "grave tritone" (for the smaller) and "small tritone" (for the larger) if there are two. Label the tritone interval one step smaller than the subtritone the infratritone. | ||
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|neutral tritone | |neutral tritone | ||
| -0.5 | | -0.5 | ||
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And to ensure that the naming system achieves its goal, here is 22edo: | |||
{| class="wikitable" | |||
! | |||
! | |||
|- | |||
|1 | |||
|subminor second / diesis | |||
|- | |||
|2 | |||
|minor second | |||
|- | |||
|3 | |||
|major second | |||
|- | |||
|4 | |||
|supermajor second | |||
|- | |||
|5 | |||
|subminor third | |||
|- | |||
|6 | |||
|minor third | |||
|- | |||
|7 | |||
|major third | |||
|- | |||
|8 | |||
|supermajor third, inframinor fourth | |||
|- | |||
|9 | |||
|perfect fourth | |||
|- | |||
|10 | |||
|minor fourth | |||
|- | |||
|11 | |||
|major fourth, neutral tritone | |||
|} | |} | ||