Graph Walking Melodies - 20200412 ; hood@panix.com
Please find a list of presumably all the possible 33,624 thirteen note "melody lines" (or "collection of notes" - if you will allow) produced by graph walking the set of the 12 intervals (major & minor: 2nds, 3rds, 6ths, 7ths; perfect 4ths & 5th; augmented 4th or diminished 5th, and the octave), within an - and inclusive of the - octave, starting from C (or solfege "Do"), constrained by:
1. not being allowed to visit a next note having an already "seen" interval. A note may be re-visited - but through a different interval path. You can find these by:
1. downloading the pdf in the title above and searching below for a particular index number;
Upon pressing ENTER from the input area - the search, for instance, "CAGC"
will find all melody lines that match "Do La Sol Do" somewhere in the path of the melody line.
Using AND will sub-select each AND group - so: "CAGC and GEC" will sub-select "GEC" melodies from the melodies matching the prior "CAGC".
Use a space between terms to get multiple matches;
use "number + limit" to get a range of items between the most adjacent numbers.
Click on the found melody to hear a pretty "setPeriodicWave" wave-pattern-y AudioContext version of it. Many thanks to Dr. Evan Fein at Juilliard for coming up with a wider version of this exercise (he absents constraints #2 & 3), and Paul Rosen and Gregory Dyke for the notation rendering with abcjs. Of course, if you find errors, please do let me know. |
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