28edo: Difference between revisions
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== Intervals == | == Intervals == | ||
The following table compares it to potentially useful nearby [[just interval]]s. | The following table compares it to potentially useful nearby [[just interval]]s. | ||
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== Chord Names == | == Chord Names == | ||
Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. | Ups and downs can be used to name 28edo chords. Because every interval is perfect, the quality can be omitted, and the words major, minor, augmented and diminished are never used. | ||
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== Rank two temperaments == | == Rank two temperaments == | ||
{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
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== Commas == | == Commas == | ||
28 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 28 44 65 79 97 104 }}.) | 28 EDO [[tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] {{val| 28 44 65 79 97 104 }}.) | ||
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== Scales == | == Scales == | ||
28edo is particularly well suited to Whitewood in the same way that [[15edo|15edo]] is for Blackwood, as it has one third that is heavily tempered, but in a familiar way shared with 12edo, while the other one is significantly closer to just. (Contrast with 20 & 21edo, where one third remains the same as in 12, and the other is pushed further away, making the overall sound considerably more xenharmonic) This makes the 5ths more out of tune, but in a useful way, as you can stack major and minor thirds indefinitely until they repeat 4 octaves and 14 notes up, producing one of the largest nonrepeating harmonious chords possible in an edo this low. This produces mode of symmetry scales with two different modes and 4 different keys, making it equally easy to establish any chord in the scale as the root and modulate between them. | 28edo is particularly well suited to Whitewood in the same way that [[15edo|15edo]] is for Blackwood, as it has one third that is heavily tempered, but in a familiar way shared with 12edo, while the other one is significantly closer to just. (Contrast with 20 & 21edo, where one third remains the same as in 12, and the other is pushed further away, making the overall sound considerably more xenharmonic) This makes the 5ths more out of tune, but in a useful way, as you can stack major and minor thirds indefinitely until they repeat 4 octaves and 14 notes up, producing one of the largest nonrepeating harmonious chords possible in an edo this low. This produces mode of symmetry scales with two different modes and 4 different keys, making it equally easy to establish any chord in the scale as the root and modulate between them. | ||
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== Music == | == Music == | ||
* [http://www.youtube.com/watch?v=26UpCbrb3mE 28 tone Prelude] by Kosmorksy | * [http://www.youtube.com/watch?v=26UpCbrb3mE 28 tone Prelude] by Kosmorksy | ||
* [https://youtu.be/NbR3i45qQVQ Purple Skyes] by [[User:Userminusone|Userminusone]] | * [https://youtu.be/NbR3i45qQVQ Purple Skyes] by [[User:Userminusone|Userminusone]] | ||
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[[Category:28edo| ]] <!-- main article --> | [[Category:28edo| ]] <!-- main article --> | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
[[Category:Twentuning]] | [[Category:Twentuning]] | ||
[[Category:Todo:unify precision]] | [[Category:Todo:unify precision]] | ||