Kite's ups and downs notation: Difference between revisions
added a link, updated some chord names |
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The rationale for this rule is that a chord often has a note a perfect fourth or fifth above the 3rd. Furthermore, in many EDOs, upfifths, downfifths, upfourths and downfourths will all be quite dissonant and rarely used in chords. Thus if the 3rd is upped or downed, the 6th or 7th likely would be too. However the 9th likely wouldn't, because that would create an upfifth or a downfifth with the 5th. By the same logic, if the 7th is upped or downed, the 11th would be too. | The rationale for this rule is that a chord often has a note a perfect fourth or fifth above the 3rd. Furthermore, in many EDOs, upfifths, downfifths, upfourths and downfourths will all be quite dissonant and rarely used in chords. Thus if the 3rd is upped or downed, the 6th or 7th likely would be too. However the 9th likely wouldn't, because that would create an upfifth or a downfifth with the 5th. By the same logic, if the 7th is upped or downed, the 11th would be too. | ||
Every conventional chord can accept such an up or down, with one exception: it's pointless to down a C5 chord, because there is no 3rd, 6th or 7th to alter. Thus Cv5 is invalid, and "C down-5" means C(v5) = C E vG. | Every conventional chord can accept such an up or down, with one exception: it's pointless to down a C5 chord, because there is no 3rd, 6th or 7th to alter. Thus Cv5 is invalid. But C(v5) is valid, and if someone says "C down-5", it means C(v5) = C E vG. | ||
Chord progressions use ups/downs notation to name the roots, e.g. Cv - Gv - vA^m - F or Iv - Vv - vVI^m - IVv. In relative notation, <u>'''never use lower case roman numerals'''</u> for minor chords, because both vIIm and VIIm would be written vii. | Chord progressions use ups/downs notation to name the roots, e.g. Cv - Gv - vA^m - F or Iv - Vv - vVI^m - IVv. In relative notation, <u>'''never use lower case roman numerals'''</u> for minor chords, because both vIIm and VIIm would be written vii. | ||
| Line 811: | Line 811: | ||
* C vE G = Cv = "C down" or "C downmajor" (in EDOs 10, 17, 24, 31, etc., C~ = "C mid") | * C vE G = Cv = "C down" or "C downmajor" (in EDOs 10, 17, 24, 31, etc., C~ = "C mid") | ||
* C vvE G = Cvv = "C double-down" (in EDOs 20, 27, 34, 41, etc., C~ = "C mid", in EDOs 25, 32, 39, 46, etc. C^~ = "C upmid") | * C vvE G = Cvv = "C double-down" (in EDOs 20, 27, 34, 41, etc., C~ = "C mid", in EDOs 25, 32, 39, 46, etc. C^~ = "C upmid") | ||
This table shows how altering the 3rd or the 5th affects the name of the triad The conventional abbreviations for aug and dim are + and o. These are rather cryptic, and can be replaced with the more obvious and intuitive a and d. Likewise the symbols Δ and − can be replaced with M and m. | This table shows how altering the 3rd or the 5th affects the name of the triad. The conventional abbreviations for aug and dim are + and o. These are rather cryptic, and can be replaced with the more obvious and intuitive a and d. Likewise the symbols Δ and − can be replaced with M and m. | ||
{| class="wikitable" style="text-align:center;" | {| class="wikitable" style="text-align:center;" | ||
|+ | |+ | ||
| Line 838: | Line 838: | ||
|C+ | |C+ | ||
|Cd | |Cd | ||
| | |C<sup>o</sup> | ||
|- | |- | ||
!3rd | !3rd | ||
| Line 848: | Line 848: | ||
|Cv+ | |Cv+ | ||
|Cvd | |Cvd | ||
| | |Cv<sup>o</sup> | ||
|- | |- | ||
!5th | !5th | ||
| Line 858: | Line 858: | ||
|C+(v5) | |C+(v5) | ||
|Cd(v5) | |Cd(v5) | ||
| | |C<sup>o</sup>(v5) | ||
|- | |- | ||
!3rd, 5th | !3rd, 5th | ||
| Line 868: | Line 868: | ||
|Cv+(v5) | |Cv+(v5) | ||
|Cvd(v5) | |Cvd(v5) | ||
| | |Cv<sup>o</sup>(v5) | ||
|} | |} | ||
Many EDOs have notes between the major 3rd and the perfect 4th, creating triads impossible in 12-edo, such as: | Many EDOs have notes between the major 3rd and the perfect 4th, creating triads impossible in 12-edo, such as: | ||
| Line 913: | Line 913: | ||
|'''Cd,7''' | |'''Cd,7''' | ||
|Cm7(b5) | |Cm7(b5) | ||
| | |C<sup>ø</sup> | ||
|Cd7 | |Cd7 | ||
| | |C<sup>o</sup>7 | ||
|C6 | |C6 | ||
|Cm6 | |Cm6 | ||
| Line 925: | Line 925: | ||
|'''Cvd,7''' | |'''Cvd,7''' | ||
|'''Cvm,7(b5)''' | |'''Cvm,7(b5)''' | ||
| | |C<sup>ø</sup>(v3) | ||
|Cvd,d7 | |Cvd,d7 | ||
| | |Cv<sup>o</sup>,d7 | ||
|'''Cv,6''' | |'''Cv,6''' | ||
|'''Cvm,6''' | |'''Cvm,6''' | ||
| Line 937: | Line 937: | ||
|Cd(v5)7 | |Cd(v5)7 | ||
|Cm7(vb5) | |Cm7(vb5) | ||
| | |C<sup>ø</sup>(v5) | ||
|Cd7(v5) | |Cd7(v5) | ||
| | |C<sup>o</sup>7(v5) | ||
|C6(v5) | |C6(v5) | ||
|Cm6(v5) | |Cm6(v5) | ||
| Line 949: | Line 949: | ||
|Cdv7 | |Cdv7 | ||
|Cmv7(b5) | |Cmv7(b5) | ||
| | |C<sup>ø</sup>(v7) | ||
|Cdvd7 | |Cdvd7 | ||
| | |C<sup>o</sup>vd7 | ||
|'''C,v6''' | |'''C,v6''' | ||
|Cmv6 | |Cmv6 | ||
| Line 961: | Line 961: | ||
|Cvd(v5)7 | |Cvd(v5)7 | ||
|'''Cvm,7(vb5)''' | |'''Cvm,7(vb5)''' | ||
| | |C<sup>ø</sup>(v3v5) | ||
|Cvd(v5)d7 | |Cvd(v5)d7 | ||
| | |Cv<sup>o</sup>(v5)d7 | ||
|Cv(v5)6 | |Cv(v5)6 | ||
|Cvm(v5)6 | |Cvm(v5)6 | ||
| Line 973: | Line 973: | ||
|Cvdv7 | |Cvdv7 | ||
|Cvm7(b5) | |Cvm7(b5) | ||
| | |Cv<sup>ø</sup> | ||
|Cvd7 | |Cvd7 | ||
| | |Cv<sup>o</sup>7 | ||
|Cv6 | |Cv6 | ||
|Cvm6 | |Cvm6 | ||
| Line 985: | Line 985: | ||
|Cd(v5)v7 | |Cd(v5)v7 | ||
|Cmv7(vb5) | |Cmv7(vb5) | ||
| | |C<sup>ø</sup>(v5v7) | ||
|Cd(v5)vd7 | |Cd(v5)vd7 | ||
| | |C<sup>o</sup>(v5)vd7 | ||
|C(v5)v6 | |C(v5)v6 | ||
|Cm(v5)v6 | |Cm(v5)v6 | ||
| Line 997: | Line 997: | ||
|Cvd(v5)v7 | |Cvd(v5)v7 | ||
|Cvm7(vb5) | |Cvm7(vb5) | ||
| | |Cv<sup>ø</sup>(v5) | ||
|Cvd7(v5) | |Cvd7(v5) | ||
| | |Cv<sup>o</sup>7(v5) | ||
|Cv6(v5) | |Cv6(v5) | ||
|Cvm6(v5) | |Cvm6(v5) | ||