! _For Kathleen Schlesinger: Forms of Tonality_, composition in ! version for my JOT-17 ("Just Octachord Tuning") with two octachords ! (Bb-Eb, F-Bb) joined and the whole-tone Eb-F divided Eb-D#-E-F in ! order to make a 17-note tuning. ! Each octachord has seven notes from the series 28:27:26:24:23:22:21, ! plus a near-geometric division of 28:22 into 44:39 and 273:242. The notes ! D# and E are placed at pure fourths above A# and B, so that the ! successive intervals Eb-D#-E-F are 28:27-27:26-22:21. ! A curiosity of this scale is that certain intervals such as the wide ! or "virtually tempered" fifths F-C and G-D (at 176:117 and 182:121) ! differ by the small ratio of 10648:10647, the difference between ! 352:351 (e.g. 13:11 and 32:27, 3:2 and 176:117) and 364:363 ! (e.g. 33:26 and 14:11, 3:2 and 182:121). The name "harmonisma" for ! this superparticular ratio is proposed to honor Kathleen Schlesinger, ! whose _harmoniai_ include ratios of 11:13 and 11:14. ! In this version the distinction of F and Fv (the latter an Archytas' ! comma lower) is tempered out, so that F is used for both notes. ! 1 & 2 & | 1 & 2 ' | 1 2 & | 1 2 ' | ! Bb4 A4 G4 A4 E4 Fv4 F4 G4 ! Eb4 D4 ! F(v)4 E4 D4 E4 C#4 C4 D4 ! D4 C#4 C4 Bb3 A3 A3 Bb3 A3 G#3 G3 ! [1st time, da capo] ! 1 2 | 1 2 :|| ! F4 F4 G4 F4 ! Eb4 E4 F4 ! C#4 C4 B3 C4 ! A3 G#3 G3 F3 ! [2nd time] ! 1 2 | 1 2 | ! F4 F4 E4 F4 ! Eb4 D4 F4 ! C#4 C4 B3 C4 ! A3 G#3 G3 F3 ! Use scale jot17.scl ! 0 tempo 650_000 0 timesig 2/2 0 program 54 0 exclude 16 0 exclude 10 0 velocity 64 0 load jot17.scl ! 1 0 note 14 240 240 note 13 960 1200 note 10 240 1440 note 13 480 1920 note 6 480 2400 note 7 480 2880 note 7 480 3360 note 10 480 3840 note 7 480 4320 note 7 480 4800 note 10 480 5280 note 7 480 5760 note 14 240 6000 note 13 960 6960 note 10 240 7200 note 13 480 7680 note 6 480 8160 note 7 480 8640 note 7 480 9120 note 10 480 9600 note 7 480 10080 note 7 480 10560 note 6 480 11040 note 7 480 ! 2 2880 note 4 480 4320 note 4 480 4800 note 6 480 8640 note 4 480 10080 note 4 480 10560 note 3 480 ! 3 0 note 7 480 480 note 6 480 960 note 3 480 1440 note 6 480 1920 note 2 480 2400 note 2 480 2880 note 0 480 3360 note 3 480 3840 note 2 480 4320 note 0 480 4800 note -1 480 5280 note 0 480 5760 note 7 480 6240 note 6 480 6720 note 3 480 7200 note 6 480 7680 note 2 480 8160 note 2 480 8640 note 0 480 9120 note 3 480 9600 note 2 480 10080 note 0 480 10560 note -1 480 11040 note 0 480 ! 4 0 note 3 480 480 note 2 240 720 note 0 240 960 note -3 480 1440 note -4 480 1920 note -4 480 2400 note -3 240 2640 note -4 240 2880 note -5 480 3360 note -7 480 3840 note -4 480 4320 note -5 480 4800 note -7 480 5280 note -10 480 5760 note 3 480 6240 note 2 240 6480 note 0 240 6720 note -3 480 7200 note -4 480 7680 note -4 480 8160 note -3 240 8400 note -4 240 8640 note -5 480 9120 note -7 480 9600 note -4 480 10080 note -5 480 10560 note -7 480 11040 note -10 480