Discussion:
Tetrachord-Derived 12-Tone Rows?
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Melody Droid
2004-05-14 18:43:30 UTC
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I'm interested in tetrachord-derived 12-tone rows, and I found an
article online which stated that the tetrachords used must NOT contain
the major third (4-semitone) interval.

Has anybody out there had any experience with this? I'm particularly
interested in the blues tetrachords, beginning with the one with scale
steps 1-2-3.

Thanks.


Bill Flavell
Dr.Matt
2004-05-14 20:03:01 UTC
Permalink
Post by Melody Droid
I'm interested in tetrachord-derived 12-tone rows, and I found an
article online which stated that the tetrachords used must NOT contain
the major third (4-semitone) interval.
In order to accomplish what?
The avoidance of IC4 within a tetrachord may make certain other things
possible, but you haven't given enough information to determine what
the criteria were.
--
Matthew H. Fields http://personal.www.umich.edu/~fields
Music: Splendor in Sound
"Hey, don't knock Placebo, its the only thing effective for my hypochondria."
Brights have a naturalistic world-view. http://www.the-brights.net/
Jerry Kohl
2004-05-14 20:43:52 UTC
Permalink
Post by Dr.Matt
Post by Melody Droid
I'm interested in tetrachord-derived 12-tone rows, and I found an
article online which stated that the tetrachords used must NOT contain
the major third (4-semitone) interval.
In order to accomplish what?
The avoidance of IC4 within a tetrachord may make certain other things
possible, but you haven't given enough information to determine what
the criteria were.
Perhaps this refers to a particular method of derivation, in which (say)
multiplication of ic4 would result in a duplicate pc before all twelve pcs
had been achieved. FWIW, this would restrict the source tetrachord
to one of just seven types (to within inversion), out of a total of 29
possible tetrachord types.

A more general question left open here is, exactly what is meant by
"deriving" a 12-tone row from a tetrachord? One possibility (perhaps
the most general), is to subtract the tetrachord from the aggregate,
set them side by side, and then arbitrarily determine one of the 40344
possible combined orderings to arrive at "a row". Somehow, I don't
think this is what the OP has in mind ...

--
Jerry Kohl <***@comcast.net>
"Légpárnás hajóm tele van angolnákkal."
Dr.Matt
2004-05-14 22:26:18 UTC
Permalink
Post by Jerry Kohl
A more general question left open here is, exactly what is meant by
"deriving" a 12-tone row from a tetrachord? One possibility (perhaps
the most general), is to subtract the tetrachord from the aggregate,
set them side by side, and then arbitrarily determine one of the 40344
possible combined orderings to arrive at "a row". Somehow, I don't
think this is what the OP has in mind ...
Does the OP have things in mind?
--
Matthew H. Fields http://personal.www.umich.edu/~fields
Music: Splendor in Sound
"Hey, don't knock Placebo, its the only thing effective for my hypochondria."
Brights have a naturalistic world-view. http://www.the-brights.net/
Jerry Kohl
2004-05-14 22:39:04 UTC
Permalink
Post by Dr.Matt
Post by Jerry Kohl
A more general question left open here is, exactly what is meant by
"deriving" a 12-tone row from a tetrachord? One possibility (perhaps
the most general), is to subtract the tetrachord from the aggregate,
set them side by side, and then arbitrarily determine one of the 40344
possible combined orderings to arrive at "a row". Somehow, I don't
think this is what the OP has in mind ...
Does the OP have things in mind?
Well, one assume there was some reason for posting about his hobby,
if nothing else to see if there was anyone else on this group even
remotely interested. BTW, I erred. That should have been 967,104
orderings of one terachotd-derived partition, accoeding to the method
described. But I expect you knew that.

--
Jerry Kohl <***@comcast.net>
"Légpárnás hajóm tele van angolnákkal."

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