Topic: Two versions of Magic[16]

2 scales

Thread (1 messages)

From: genewardsmith (2010-05-10)
Subject: Two versions of Magic[16]

Terzbirat has a flatter third and better fifth than Septimage. The 41et version of the magic generator is 380.49 cents. In comparison, the Terzbirat generator is 380.32 cents, and the Septimage generator is 380.76 cents.

! magic16terzbirat.scl
Magic[16] in regular Terzbirat tuning
16
!
59.047464820909637093
203.17511726363454286
262.22258208454417998
321.27004690545381725
380.31751172636345429
439.36497654727309145
498.41244136818272863
642.54009381090763424
701.58755863181727142
760.63502345272690858
819.68248827363654570
878.72995309454618286
1022.8576055372710886
1081.9050703581807257
1140.9525351790903629
1200.0000000000000000
! (4 + 2sqrt(13))/9

! magic16septimage.scl
Magic[16] in regular Septimage tuning
16
!
57.718713363760023376
207.60428878746658891
265.32300215122661221
323.04171551498663568
380.76042887874665891
438.47914224250668224
496.19785560626670556
646.08343102997327113
703.80214439373329448
761.52085775749331780
819.23957112125334119
876.95828448501336439
1026.8438599087199301
1084.5625732724799534
1142.2812866362399767
1200.0000000000000000
! 5x^5 + 4x - 20