User:VectorGraphics/Vector's introduction to 15edo/Chords: Difference between revisions
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█▒▒▒▓▒▒▒▒▓▒ - minor triad (on 3, 6) | █▒▒▒▓▒▒▒▒▓▒ - minor triad (on 3, 6) | ||
█▒▒▓▒▒▒▒▓▒ - | █▒▒▓▒▒▒▒▓▒ - wolfminor triad (on 2) | ||
█▒▒▒▓▒▒▓▒ - | █▒▒▒▓▒▒▓▒ - major diminished triad (on 7) | ||
=== Left-handed chords === | === Left-handed chords === | ||
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█▒▒▒▓▒▒▒▒▓▒ - minor triad (on 2, 3, 6) | █▒▒▒▓▒▒▒▒▓▒ - minor triad (on 2, 3, 6) | ||
█▒▒▒▒▓▒▒▓▒ - | █▒▒▒▒▓▒▒▓▒ - wolfmajor triad (on 5) | ||
█▒▒▓▒▒▒▓▒ - minor diminished triad (on 7) | |||
The wolfminor and wolfmajor triads can be seen as tenser than their corresponding chords with fifths. As such, the LH Ionian's Vwmajh7 chord works as a strong resolution to the stable tonic chord. | |||
Note that each scale only contains five perfect fifths instead of six. | Note that each scale only contains five perfect fifths instead of six. | ||
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█▒▒▒▓▒▒▒▒▓▒▒▒▓▒|▒ - minor 7th chord (on 3, 6) | █▒▒▒▓▒▒▒▒▓▒▒▒▓▒|▒ - minor 7th chord (on 3, 6) | ||
█▒▒▓▒▒▒▒▓▒▒▒▓▒▒|▒ - | █▒▒▓▒▒▒▒▓▒▒▒▓▒▒|▒ - wolfminor harmonic 7th chord (on 2) | ||
█▒▒▒▒▓▒▒▒▓▒▒▓▒▒|▒ - harmonic 7th chord (on 5) | █▒▒▒▒▓▒▒▒▓▒▒▓▒▒|▒ - harmonic 7th chord (on 5) | ||
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█▒▒▒▓▒▒▒▒▓▒▒▓▒▒|▒ - minor harmonic 7th chord (on 3) | █▒▒▒▓▒▒▒▒▓▒▒▓▒▒|▒ - minor harmonic 7th chord (on 3) | ||
█▒▒▒▒▓▒▒▓▒▒▒▓▒▒|▒ - | █▒▒▒▒▓▒▒▓▒▒▒▓▒▒|▒ - wolfmajor harmonic 7th chord (on 5) | ||
█▒▒▓▒▒▒▓▒▒▒▒▓▒▒|▒ - minor half diminished 7th chord (on 7) | █▒▒▓▒▒▒▓▒▒▒▒▓▒▒|▒ - minor half diminished 7th chord (on 7) | ||
Some of these chords produce other chords in inversions: | |||
█▒▒▒▒▓▒▒▓▒▒▒▓▒▒|▒ - wolfmajor harmonic 7th chord | |||
▓▒▒▓▒▒▒▓▒▒█▒▒▒▒|▒ - minor diminished augmented chord | |||
▓▒▒▒▓▒▒█▒▒▒▒▓▒▒|▒ - major half diminished 7th chord | |||
▓▒▒█▒▒▒▒▓▒▒▓▒▒▒|▒ - wolfminor diminished 7th chord | |||
█▒▒▒▓▒▒▒▒▓▒▒▓▒▒|▒ - minor harmonic 7th chord | |||
▓▒▒▒▒▓▒▒▓▒▒█▒▒▒|▒ - wolfmajor diminished 7th chord | |||
▓▒▒▓▒▒█▒▒▒▓▒▒▒▒|▒ - slendric augmented tetrad | |||
▓▒▒█▒▒▒▓▒▒▒▒▓▒▒|▒ - minor half diminished 7th chord | |||
█▒▒▓▒▒▒▒▓▒▒▒▓▒▒|▒ - wolfminor harmonic 7th chord | |||
▓▒▒▒▒▓▒▒▒▓▒▒█▒▒|▒ - harmonic 7th chord | |||
▓▒▒▒▓▒▒█▒▒▓▒▒▒▒|▒ - major diminished augmented chord | |||
▓▒▒█▒▒▓▒▒▒▒▓▒▒▒|▒ - slendric diminished 7th chord | |||
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The distance between the second and the fourth is exactly the same as between either and its closest bounding note - that is, the notes split the fifth perfectly into three. That's why we call this a "slendric tetrad", because each of these 240c steps represents a large whole tone, and three of them make a perfect fifth. | The distance between the second and the fourth is exactly the same as between either and its closest bounding note - that is, the notes split the fifth perfectly into three. That's why we call this a "slendric tetrad", because each of these 240c steps represents a large whole tone, and three of them make a perfect fifth. | ||
More on this phenomenon at [[Extraclassical tonality]]. | |||
We can extend this to the slendric pentad: | We can extend this to the slendric pentad: | ||
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█▒▒▒▓▒▒▒▓▒ - diminished triad | █▒▒▒▓▒▒▒▓▒ - diminished triad | ||
█▒▒▒▓▒▒▒▓▒▒▒▓▒ - diminished seventh tetrad | █▒▒▒▓▒▒▒▓▒▒▒▓▒ - diminished harmonic seventh tetrad | ||
These diminished chords result from stacking the same minor third interval. The diminished seventh tetrad is the root chord of the darkest mode of onyx (other dark modes contain a version with a sharper seventh, {█▒▒▒▓▒▒▒▓▒▒▒▒▓▒}) Note that the diminished seventh tetrad does not actually close at the octave; a diminished ninth triad would look like this: | These diminished chords result from stacking the same minor third interval. The diminished seventh tetrad is the root chord of the darkest mode of onyx (other dark modes contain a version with a sharper seventh, {█▒▒▒▓▒▒▒▓▒▒▒▒▓▒}) Note that the diminished seventh tetrad does not actually close at the octave; a diminished ninth triad would look like this: | ||