Kite's thoughts on hi-lo notation: Difference between revisions
mNo edit summary |
→Generalized Voicings: changed the order of stepwise names to match the order of drop-N names, changed lolo to dublo to avoid a conflict with colorspeak's 121-over. |
||
| Line 47: | Line 47: | ||
Use addhi8, not add15. No degrees higher than 13 are used, analogous to chord names. | Use addhi8, not add15. No degrees higher than 13 are used, analogous to chord names. | ||
The terms ''hi'' and ''lo'' and degrees R-8 cover voicings up to a 3-octave range, because every note is in either the lo octave, the central octave or the hi octave. Degrees 9-13 go even higher. To extend the range an extra octave both above and below, use | The terms ''hi'' and ''lo'' and degrees R-8 cover voicings up to a 3-octave range, because every note is in either the lo octave, the central octave or the hi octave. Degrees 9-13 go even higher. To extend the range an extra octave both above and below, use dubhi and dublo, where dub- is short for double. For example, dublo7 is a note a 9th below the root. Dublo is never used for degrees above 7. Dublo9 becomes lo2, dublo11 becomes lo4, and dublo13 becomes lo6. | ||
To find the number of voices in a chord, start with the obvious: a triad has 3, a tetrad has 4, etc. Then subtract the "no" notes and add the "add" notes. For example, A7no5hi3add8 has 4 (A7 is a tetrad) - 1 (no 5th) + 1 (add 8ve) = 4 notes. | To find the number of voices in a chord, start with the obvious: a triad has 3, a tetrad has 4, etc. Then subtract the "no" notes and add the "add" notes. For example, A7no5hi3add8 has 4 (A7 is a tetrad) - 1 (no 5th) + 1 (add 8ve) = 4 notes. | ||
| Line 129: | Line 129: | ||
=== Tetrads === | === Tetrads === | ||
For a tetrad in 4 voices, there are 24 possible voicings grouped into 6 generalized voicings. The 2-1-2 voicings are known to guitarists as [[wikipedia:Voicing_(music)#Drop_voicings|drop-2 voicings]]. This | For a tetrad in 4 voices, there are 24 possible voicings grouped into 6 generalized voicings. The 2-1-2 voicings are known to guitarists as [[wikipedia:Voicing_(music)#Drop_voicings|drop-2 voicings]]. This drop-N terminology can be extended via "lift" to cover the other generalized voicings, but only if there are no octave doublings. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+Generalized voicings for a tetrad in 4 voices | |+Generalized voicings for a tetrad in 4 voices | ||
| Line 156: | Line 156: | ||
|- | |- | ||
! rowspan="2" |span-6 | ! rowspan="2" |span-6 | ||
! | !1-2-3 | ||
!drop-3 | !drop-3 | ||
|hi35 | |hi35 | ||
| Line 163: | Line 163: | ||
|hiRlo37 | |hiRlo37 | ||
|- | |- | ||
! | !3-2-1 | ||
!lift-2 | !lift-2 | ||
|hi5 | |hi5 | ||
| Line 186: | Line 186: | ||
|hi38lo7 | |hi38lo7 | ||
|} | |} | ||
In the | In the 1-2-3 voicing, the 2nd highest note is 1 tetratonic step below the highest note, the 3rd highest note is 2 steps below the 2nd, and the 4th is 1 step below the 3rd. | ||
The stepwise terminology has the advantage that it directly indicates the stepspan, and hence the "openness" of the voicing. Furthermore, a generalized voicing has only one stepwise name, but possibly more than one | The stepwise terminology has the advantage that it directly indicates the stepspan, and hence the "openness" of the voicing. Furthermore, a generalized voicing has only one stepwise name, but possibly more than one drop-N name. Drop-2 could possibly be called lift-3, and drop-2-4 could possibly be called lift-1-3. | ||
To find the stepwise name from the drop-N name: drop-3 changes 1234 to 1243. From 1 to 2 is 1 step, from 2 to 4 is 2 steps, and from 4 to 3 is 3 steps. Thus the stepwise name is 1-2-3. | |||
Generalized voicings are particularly useful for dim7 chords. | Generalized voicings are particularly useful for dim7 chords. | ||
=== Pentads === | === Pentads === | ||
For a pentad in 5 voices, there are 120 possible voicings grouped into 24 generalized voicings. Above span-9 the | For a pentad in 5 voices, there are 120 possible voicings grouped into 24 generalized voicings. Above span-9 the drop-N terminology becomes rather awkward. Because of the large number of generalized voicings, the stepspan becomes quite useful as a category of categories. | ||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
| Line 213: | Line 215: | ||
|- | |- | ||
!span-7 | !span-7 | ||
| | |1-2-1-3 = drop-3 | ||
|1-2-1 | |3-1-2-1 = lift-3 | ||
| | | | ||
| | | | ||
| Line 221: | Line 223: | ||
|2-2-2-2 = drop-2-4 | |2-2-2-2 = drop-2-4 | ||
|1-3-3-1 = drop-3-4 | |1-3-3-1 = drop-3-4 | ||
| | |1-1-2-4 = drop-4 | ||
|1-1 | |4-2-1-1 = lift-2 | ||
|- | |- | ||
!span-9 | !span-9 | ||
|3-3 | |2-1-3-3 = drop-2-5 | ||
| | |3-3-1-2 = lift-1-4 | ||
|2-4-2 | |1-2-4-2 = drop-3-5 | ||
| | |2-4-2-1 = lift-1-3 | ||
|- | |- | ||
!span-11 | !span-11 | ||
| | |3-1-3-4 = lift-3 drop-4 | ||
|3-1-3 | |4-3-1-3 = lift-2 drop-3 | ||
| | |2-2-4-3 = lift-2-4 drop-3 | ||
|2-2 | |3-4-2-2 = lift-3 drop-2-4 | ||
|- | |- | ||
!span-12 | !span-12 | ||
|4-2-2-4 = lift-2 drop-4 | |4-2-2-4 = lift-2 drop-4 | ||
|3-3-3-3 = lift-3 drop-2-5 | |3-3-3-3 = lift-3 drop-2-5 | ||
|4-4 | |1-3-4-4 = lift-2-3 drop-4 | ||
| | |4-4-3-1 = lift-2 drop-3-4 | ||
|- | |- | ||
!span-13 | !span-13 | ||
|4-3-4 | |2-4-3-4 = lift-1-3 drop-4 | ||
| | |4-3-4-2 = lift-2 drop-3-5 | ||
| | | | ||
| | | | ||
| Line 290: | Line 292: | ||
|- | |- | ||
! rowspan="2" |span-7 | ! rowspan="2" |span-7 | ||
! | !1-2-1-3 | ||
!drop-3 | !drop-3 | ||
|hi3 | |hi3 | ||
| Line 298: | Line 300: | ||
|lo27 | |lo27 | ||
|- | |- | ||
!1-2-1 | !3-1-2-1 | ||
!lift-3 | !lift-3 | ||
|hi3lo9 | |hi3lo9 | ||