! Sp53Ragismatic.scl Sparschuh's [2010] almost-JI Ragismatic 4375/4374 based 53-tone 53 ! ! as cycle of 53 consecutive 5ths by an generalized 3n-1 sequence ! !Nr: Name Ratio "low-decimal-representation" in absolute-pitch !~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ! 0: C- [1/1] 1.0 unison ! 1: G- [3/2] 3.0 ! 2: D- [9/8] 9.0 18 36 72 (= 71+1,see #41:C&) ! 3: A- [27/16] 27.0 ! 4: E- [81/64] 81.0 ! 5: B- [243/128] 243.0 ! 6: GB [729/512] 729.0 ! 7: DB [2187/2048] 2187.0 ! 8: AB [205/128] (0.1...102.4 <) 102.5 205 410 ...6560(<6561:=3^8) ! 9: EB [6/5] 0.3 !10: BB [9/5] 0.9 !11: F\ [27/20] 2.7 !12: C\ [81/80] Syntonic-Comma 8.1 !13: G\ [243/160] 24.3 !14: D\ [729/640] 72.9 !15: A\ [2187/1280] 218.7 !16: E\ [41/32] (0.01 ... 10.24 <) 10.25 20.5...656(<656.1=3^8/10) !17: B\ [48/25] 0.03 !18: Gb [36/25] 0.09 !19: Db [27/25] 0.27 !20: Ab [81/50] 0.81 !21: Eb [243/200] 2.43 !22: Bb [729/400] 7.29 !23: F. [2187/1600] 21.87 !24: C. [41/40] (0.001 ... 1.024 <) 1.025 2.05 4.1 ... 65.6(<65.61) !25: G. [192/125] 0.003 !26: D. [144/125] 0.009 !27: A. [216/125] 0.027 !28: E. [162/125] 0.081 !29: B. [243/125] 0.243 !30: F# [729/500] 0.729 !31: C# [2187/2000] 2.187 !32: G# [41/25] (0.0001...0.1024<) 0.1025 0.205 ... 6.56(<6.561) !33: D# [768/625] 0.0003 !34: A# [1152/625] 0.0009 !35: F/ [864/625] 0.0027 !36: C/ [648/625] 0.0081 !37: G/ [972/625] 0.0243 !38: D/ [729/625] 0.0729 !39: A/ [7/4] (0.2187 0.4374 >) 0.4375 ... 0.175 3.5 7.0 Ragisma !40: E/ [21/16] 21.0 !41: B/ [63/32] 63.0 !42: F& [189/128] 189.0 !43: C& [567/512] (71 142 284 568>)567.0 !44: G& [213/128] 213.0 := 71*3 = 639/3 wide 5hts !45: D& [5/4] 5.0 10 20 40 ... 320 640 (>639) !46: A& [15/8] 15.0 !47: F+ [45/32] 45.0 !48: C+ [135/128] 135.0 !49: G+ [405/256] 405.0 !50: D+ [1215/1024] 1215.0 (final schisma trisection) !51: A+ [911/512] 911.0 1822 3644 (<3645 := 1215*3) !52:E+=F-[683/512] 683.0 1366 2732 (<2733 := 911*3) !53:C-=B+ [1/1] unison 1.0 2 .. 2048 (<2049 := 683*3) ! ! !Ratios,Note Nr: Name=decimal-value, name of Absolute-Pitch frequency !~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ! 1/1 ! 0: C- = 1.0 unison c-' 256.0 Hz middle_C- 81/80 ! 1: C\ = 1.012,5 c\' 259.2 41/40 ! 2: C. = 1.025 c.' 262.4 648/625 ! 3: C/ = 1.036,8 c/' 265.420,8 135/128 ! 4: C+ = 1.054.687,5 c+' 270.0 2187/2048 ! 5: DB = 1.067,871,093,75 dB' 273.375 27/25 ! 6: Db = 1.08 db' 276.48 2187/2000 ! 7: C# = 1.093,5 c#' 279.936 567/512 ! 8: C& = 1.107,421,875 c&' 283.5 9/8 ! 9: D- = 1.125 d-' 288.0 729/640 ! 10: D\ = 1.139,062,5 d\' 291.6 144/125 ! 11: D. = 1.152 d.' 294.912 729/625 ! 12: D/ = 1.1664 d/' 298.598,4 1215/1024 ! 13: D+ = 1.186.523,437,5 d+' 303.75 6/5 ! 14: EB = 1.2 eB' 307.2 243/200 ! 15: Eb = 1.215 eb' 311.04 768/625 ! 16: D# = 1.228,8 d#' 314.572,8 5/4 ! 17: D& = 1.25 d&' 320.0 81/64 ! 18: E- = 1.265,625 e-' 324.0 41/32 ! 19: E\ = 1.281,25 e\' 328.0 162/125 ! 20: E. = 1.296 e.' 331.776 21/16 ! 21: E/ = 1.312,5 e/' 336.0 683/512 ! 22:E+F-= 1.333,984,375 e+=f-' 341.5 or (4/3)*(2049/2048) 27/20 ! 23: F\ = 1.35 f\' 345.6 2187/1600 ! 24: F. = 1.366,875 f.' 349.92 864/625 ! 25: F/ = 1.382,4 f/' 353.894,4 45/32 ! 26: F+ = 1.406,25 f+' 360.0 729/512 ! 27: GB = 1.423,828,125 gB' 364.5 36/25 ! 28: Gb = 1.44 gb' 368.64 729/500 ! 29: F# = 1.458 f#' 373.248 189/128 ! 30: F& = 1.476,562,5 f&' 378.0 3/2 ! 31: G- = 1.5 g-' 384.0 243/160 ! 32: G\ = 1.518,75 g\' 388.8 192/125 ! 33: G. = 1.536 g.' 393.216 972/625 ! 34: G/ = 1.555,2 g/' 398.131,2 405/256 ! 35: G+ = 1.582,031,25 g+' 405.0 ~J.S.Bach in Kthen~ 205/128 ! 36: AB = 1.601,562,5 aB' 410.0 A.Werckmeister[?1681?] 81/50 ! 37: Ab = 1.62 ab' 414.72 ~neo-Baroque~ a' 41/25 ! 38: G# = 1.64 g#' 419.84 ~W.A.Mozart,Vienna~ 213/128 ! 39: G& = 1.664,062,5 g&' 426.0 or (5/3)*(639/640) 27/16 ! 40: A- = 1.687,5 a-' 432.0 Mersenne/Sauveur pitch 2187/1280 ! 41: A\ = 1.708,593,75 a\' 437.4 ~Luciano-Pavarotti~ 216/125 ! 42: A. = 1.728 a.' 442.368 Hz my~acustic~piano 7/4 ! 43: A/ = 1.75 a/' 448.0 = 7th-partial of 64Hz 911/512 ! 44: A+ = 1.779,296,875 a+' 455.5 ~Bach's~organ~Halle~ 9/5 ! 45: BB = 1.8 bB' 460.8 729/400 ! 46: Bb = 1.822,5 bb' 466.56 1152/625 ! 47: A# = 1.843,2 a#' 471.859,2 15/8 ! 48: A& = 1.875 a&' 480.0 243/128 ! 49: B- = 1.898,437,5 b-' 486.0 48/25 ! 50: B\ = 1.92 b\' 491.52 243/125 ! 51: B. = 1.944 b.' 497.664 63/32 ! 52: B/ = 1.968,75 b\' 504 Archytas-Comma below 2/1 2/1 ! 53:B+C-= 2.0 b+'=c-" 512 tenor_C- ! ![eof] ! ! https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_88725.html#88767 ! ! [info] ! source = Mailing lists ! file = tuning/messages/yahoo_tuning_messages_api_raw_88077-89999.json ! topic_id = 88725 ! msg_id = 88767