--------------------------------------------------------------------------- Hexapentadic 17 set: ~8:9:11:12:13 at 32/27, 16/9, 4/3, 1/1, 3/2, 9/8 Also a 59-prime Wilsonian "Rast-Bayyati matrix" at 180/59 (48:59:72) Including an approximate 1-3-7-9 hexany at 1024/531 --------------------------------------------------------------------------- Horizontal ___ = 3:2 Left oblique \ = ~11:8 (81:59) Vertical | = ~13:8 (96:59) Right oblique / = ~7:6 (4779:4096) . Dots . show a ~13:11 (32:27) connecting a ~8:11:13 (59:81:96) sonority . Brackets show a second appearance of the same note (~52/27) (~13/9) (~13/12) (~13/8) (~39/32) (~117/64) (~351/256) (~1053/1024) 1024/531 256/177 64/59 [96/59] [72/59] [108/59] [81/59] [243/236] o____________o____________o____________o____________o_____________o___________o___________o .| .| .| .| .| .| | | (~44/27). | (~11/9) . |(~11/6) . |(~11/8) . |(~33/32) . | (~99/64) . | | | 96/59. | 72/59. | 108/59. | 81/59. |243/236. | 729/472. | | | o_____|______o_____|______o_____|______o_____|______o_____|_______o | | | \ | \ | \ | \ | \ | \ | | | \ | \ | \ | \ | \ | \ | | | \ | \ | \ | \ | \ | \ | | | \ | \ | \ | \ | \ | \ | | | \| \| \| \| \| \| | | o____________o____________o____________o __________ o_____________o___________o___________o 32/27 16/9 4/3 1/1 3/2 9/8 27/16 81/64 / / / / / / / / / o___________o___________o [1024/531] [256/177] [64/59] (~27/14) (~81/56) (~243/224) Ratios of 59 differ from corresponding ratios of 7 by 14337:14336 (0.121 cents) Ratios of 59 differ from corresponding ratios of 11 by 649:648 (2.670 cents) Ratios of 59 differ from corresponding ratios of 13 by 768:767 (2.256 cents) The 32:27 ratio used in ~8:11:13 differs from 13:11 by 352:351 (4.925 cents) Margo Schulter 16-17 January 2011