A-team: Difference between revisions
No edit summary |
|||
| Line 6: | Line 6: | ||
==Notations== | ==Notations== | ||
There are two ways to notate A-Team in a tuning-independent way: | There are two ways to notate A-Team in a tuning-independent way: | ||
#The octatonic notation described by Cryptic Ruse and Kentaku. | #The octatonic notation described by Cryptic Ruse (Dylathian = CDEFGHABC) and Kentaku (Dylathian = JKLMNOPQJ). | ||
#In [[pergen]] notation, as every other interval of the third-fifth pergen (P8, P5/3). This works because the 21/16 generator of A-Team is two third-fifths, three of which are equal to two perfect fifths (i.e. a 9/8). | #In [[pergen]] notation, as every other interval of the third-fifth pergen (P8, P5/3). This works because the 21/16 generator of A-Team is two third-fifths, three of which are equal to two perfect fifths (i.e. a 9/8). | ||
==JI interpretations== | ==JI interpretations== | ||
Surprisingly, A-Team tunings can have good approximations of some high-limit JI chords. The most plentiful consonant triad is 4:9:21 or 8:18:21, followed by 4:5:9. The following tuning (and the 44edo tuning) of A-Team[13] has five copies of 4:5:9:13:17:21, three copies of 4:5:9:11, two copies of 4:5:9:13:19:21, and one copy of 4:9:21:23. Flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives all of these harmonics (with the chord 4:5:9:11:13:17:19:21:23) over a single root. (I don't know how to write this in color notation.) | Surprisingly, A-Team tunings can have good approximations of some high-limit JI chords. The most plentiful consonant triad is 4:9:21 or 8:18:21, followed by 4:5:9. The following tuning (and the 44edo tuning) of A-Team[13] has five copies of 4:5:9:13:17:21, three copies of 4:5:9:11, two copies of 4:5:9:13:19:21, and one copy of 4:9:21:23. Flattening just the seventh and eighth degrees of the LsLssLsLssLss mode of A-Team[13] by the 13-generator interval (~25.5 cents) gives all of these harmonics (with the chord 4:5:9:11:13:17:19:21:23) over a single root. (I don't know how to write this in color notation.) | ||