This is a transformation of a piece I wrote several years ago called “Resolution in Blue“, after the phrase the U.N. uses for a written draft of a resolution. This just uses the progression of that piece, and throws everything else away.
Today’s version is the most interesting of three runs through the algorithms of the transformation of the piece, Tsantsa Circle Dance, originally written in 2002. I shortened it up a bit this time. Previous versions with more details on the tuning here, here, and here.
This is a more or less final version of the transformation of the piece, Tsantsa Circle Dance, written in 2002, this time played on Prent’s Microtonal Slide Bosendorfers.
In today’s version, I updated the voicings for the bridge chords so that they move smoothly up or down a roughly chromatic scale, even though they are not chromatically related. For example, there is the following sequence of keys, and I play the 1:1 5:4 3:2 and 7:4 tetrad in each key. But I array them so that the first chord, D+ major, is voiced 4:5:6:7, the second F major is voiced 7:4:5:6. That way it seems to go up by very small degrees, when the change of key is larger. This way, it takes me about 24 chord changes to rise an octave. Here it is in cents:
These chords are in the 15-limit diamond as the otonality on 4:3, 8:5, 1:1, 16:11, 16:9, and back to 8:7.
Each chord can take advantage of all the 16 notes in the otonality scale to the 31-limit. Here is an example in D+:
This is a work in progress. I’ve yet to add in some of the most interesting parts of the original piece, but those will come. I completed the bridge section, which has a circle of chords to contrast with the theme in D+maj (8:7).
.chorus1 &Fnmaj.&all-031*. &Abmaj.&all-031*. &C2maj.&all-031*. &G-maj.&all-031*. &A#maj.&all-031*.
These chords are in the 15-limit diamond as the otonality on 4:3, 8:5, 1:1, 16:11, 16:9, and back to 8:7.
This is new piece based on a work I did in 2002 called the Tsantsa Circle Dance. That one was scored for flute, finger piano, tuba, trombone, violin, cello, guitar, double bass, and percussion. The chord progression made use of a set of scales from the 15-limit tonality diamond. Today’s is scored for Prent’s Microtonal Slide Bosendorfers, and uses the 31-limit tonality diamond. This is just a beginning, and I’ll work on including more of the progressions used in the original, and work some of the rough parts in the near future.
Tsantsa is a native South American Indian term for shrunken heads. It’s a dance number. Or the original was.
Here is a realization of the Bach Chorale “Dear Christians, One and All, Rejoice” based on a hymn written around 1523 by Martin Luther, published in the first Lutheran Hymnal. The tuning is derived from three 16 note scales from the 31-limit tonality diamond, the otonalities on C (1:1), F (4:3), and Bb (16:9) transposed up a 4:3 to match the keys required.
For each chord I chose either of these otonal scales and freely switched between them. There is a good deal of random aspects of the piece, and each one is quite different. I think the ending sounds more like Schubert than Bach.
Here are three new realizations of the Bach Chorale “Adorn yourself, O dear soul” based on a hymn written around 1649 by Johann Franck and Johann Cruger. The tuning is derived from just two 16 note scales from the 31-limit tonality diamond, the otonalities on F (4:3) and Bb (16:9). For each chord I chose either of these otonal scales and freely switched between them. Because there are so many choices in the drunkard walk, I’ve included three variations for comparison.
Here is a realization of the Bach Chorale “Adorn yourself, O dear soul” based on a hymn written around 1649 by Johann Franck and Johann Cruger. The tuning is derived from just two 16 note scales from the 31-limit tonality diamond, the otonalities on F (4:3) and Bb (16:9). For each chord I chose either of these otonal scales and freely switched between them.
Here’s an image of the diamond with the two otonalities highlighted: the 16:9 in green and the 4:3 in brown.
I’m going to run several more iterations to see if I can spin up some more unique chord progressions.