Kite Guitar chord shapes (downmajor tuning): Difference between revisions

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The updim7 and downdim7 chords are formed from stacked 6/5's and 7/6's, alternating to make 7/5's. The 7ths are rather dissonant. The updim7 chord has an innate Ruyoyo comma which equates its ^d7 = 42/25 to a M6 = 27/16. The downdim7 chord has an innate [[Mynucumic chords|Thuzozogu comma]] which equates vd7 = 49/30 with ~6 = 13/8. Thus its odd-limit and prime-limit are both 13.

In 12-edo, the dim7 chord is symmetrical, and is its own homonym. But in 41-edo, it has homonyms. The most plausible one has the 3rd becoming the new root to make a 6th chord. This is a chord with a minor 3rd, a dim 5th and a major 6th. Such a chord in 12edo is identical to a dim7 chord, but in 41edo it isn't. Extrapolating from the terms maj6 and min6 gives us its name, a dim6 chord. To convert an updim7 chord to an updim6 chord (or downdim7 to downdim6), <u>raise</u> the 7th by one edostep.

In 12-edo, the dim7 chord is symmetrical, and is its own homonym. But in 41-edo, it has homonyms. The most plausible one has the 3rd becoming the new root to make a 6th chord. This is a chord with a minor 3rd, a dim 5th and a major 6th. Such a chord in 12edo is identical to a dim7 chord, but in 41edo it isn't. Extrapolating from the terms maj6 and min6 gives us its name, a dim6 chord. To convert an updim7 chord to an updim6 chord (or downdim7 to downdim6), <u>raise</u> the 7th by one edostep. Thus while updim7 and downdim6 are exact homonyms, updim7 and updim6 are '''fuzzy homonyms'''. Fuzzy homonyms only occur when a chord extend over 5 or 6 frets, as these do.

~~All these chords span 5 or 6 frets, and are quite a stretch.~~ To avoid negative fret numbers, the chords start on the 6th fret. As with the triads, the cryptic superscripted-circle symbol for diminished can be replaced with the far more intuitive and obvious lower-case d.

To avoid negative fret numbers, the chords start on the 6th fret. As with the triads, the cryptic superscripted-circle symbol for diminished can be replaced with the far more intuitive and obvious lower-case d.

{| class="wikitable"

!chord type -->

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 The updim7 and downdim7 chords are formed from stacked 6/5's and 7/6's, alternating to make 7/5's. The 7ths are rather dissonant. The updim7 chord has an innate Ruyoyo comma which equates its ^d7 = 42/25 to a M6 = 27/16. The downdim7 chord has an innate [[Mynucumic chords|Thuzozogu comma]] which equates vd7 = 49/30 with ~6 = 13/8. Thus its odd-limit and prime-limit are both 13.
-In 12-edo, the dim7 chord is symmetrical, and is its own homonym. But in 41-edo, it has homonyms. The most plausible one has the 3rd becoming the new root to make a 6th chord. This is a chord with a minor 3rd, a dim 5th and a major 6th. Such a chord in 12edo is identical to a dim7 chord, but in 41edo it isn't. Extrapolating from the terms maj6 and min6 gives us its name, a dim6 chord. To convert an updim7 chord to an updim6 chord (or downdim7 to downdim6), <u>raise</u> the 7th by one edostep.
+In 12-edo, the dim7 chord is symmetrical, and is its own homonym. But in 41-edo, it has homonyms. The most plausible one has the 3rd becoming the new root to make a 6th chord. This is a chord with a minor 3rd, a dim 5th and a major 6th. Such a chord in 12edo is identical to a dim7 chord, but in 41edo it isn't. Extrapolating from the terms maj6 and min6 gives us its name, a dim6 chord. To convert an updim7 chord to an updim6 chord (or downdim7 to downdim6), <u>raise</u> the 7th by one edostep. Thus while updim7 and downdim6 are exact homonyms, updim7 and updim6 are '''fuzzy homonyms'''. Fuzzy homonyms only occur when a chord extend over 5 or 6 frets, as these do.
-All these chords span 5 or 6 frets, and are quite a stretch. To avoid negative fret numbers, the chords start on the 6th fret. As with the triads, the cryptic superscripted-circle symbol for diminished can be replaced with the far more intuitive and obvious lower-case d.
+To avoid negative fret numbers, the chords start on the 6th fret. As with the triads, the cryptic superscripted-circle symbol for diminished can be replaced with the far more intuitive and obvious lower-case d.
 {| class="wikitable"
 !chord type -->