New York University Adjunct Instructor Scott Burton MSP New York University Adjunct Instructor Scott Burton

The Pythagorean “Dodecaphonic” Scale The Pythagorean chromatic scale we built so far is build by successive multiplication of 3/2 Goes up until we have as many intervals as we want This version builds the scale in two directions: Powers of 3/2 up 6 intervals Instead of continuing up we stop at 6 We add 6 more by going down from the base freq Powers of 2/3 down 6 intervals

The Pythagorean “Dodecaphonic” scale ... This results in more useable “accidentals” (sharps/flats) Notice we have 13 intervals now... This scale sounds more consonant Intervals are built with smaller integers in the numerator/denominator More “super-particular” than prior Pythagorean build method An improvement but there are still problems with some intervals... primarily the 3rd or “M3” See spreadsheet living spec pythag_sheet_phase5.xlsx

The Pythagorean “Dodecaphonic” scale ... See spreadsheet living spec pythag_sheet_phase5.xlsx

Break

Rhythm Tempo Meter – how we “chunk” beats into a pattern Phrasing – how to make it not sound like a computer generated it

Rhythm - Meter Odd and Even Combinations of 3 and 2 Meter of 4 (“4/4”) and 3 (“3/4” or waltz) are common “Odd” meters are 5, 7, 9, 11, etc. And they sound “odd” Meter of 5 can be thought of or counted as 2 + 3 Our example nanafly is a 12 beat cycle so even sounding What beats are stressed? Can be one or more stresses and of varying loudness

Rhythm rhythm_sheet_nanafly.xlsx

Deliverables Implement the new Pythag Dodecaphonic scale After construction sort by frequency (base of 528Hz) Play the new chromatic scale 1 second note duration 0 seconds silence between notes Assign a pattern from nanofly spreadsheet to A, another to B Parameterize your “play” function with the number of pattern A and the number of pattern B Also parameterize by the tempo in BPM (beats per minute) TEST NEXT WEEK You can use the following during quiz: spreadsheet living specs your code Will not cover rhythm Will cover scales and comparing them to each other