Intangible Nature by NanoHarmony published on 2014-06-04T05:22:12Z A 1 minute ambient piece i did over an hour or two after investigating beat ratios It seems that there is an additional wave structure periodicity or 'beating' frequency for two notes played together,being 1 & I, where I = interval = (b/a)+ζ where b & a are integers & ζ is a small change the beating frequency simply = a*ζ So the 3 beat ratios chosen were associated where (b/a) = 1/1 & 3/2 & 2/1 The beating ratios chosen were succusseive fibonacci numbers 2,3,5,8,13,21,34,55,89,144 So: Interval,I= Beat frequency Beat frequency Beat frequency .............Ascossiated....Ascossiated ...Ascossiated .............with (1/1) ....with (3/2) ....with (2/1) (9/7)............(2/7).........(3/7)........(5/7)..... (14/11)..........(3/11)........(5/11).......(8/11).... (23/18)..........(5/18)........(8/18).......(13/18)... (37/29)..........(8/29)........(13/29)......(21/29)... (60/47)..........(13/47).......(21/47)......(34/47)... (97/76)..........(21/76).......(34/76)......(55/76)... (157/123)........(34/123)......(55/123).....(89/123).. (254/199)........(55/199)......(89/199).....(144/199). So notes intervals used in scale are: (5/4)=1.25 (5/4)*(9/7)=1.607142857 (5/4)*(9/7)*(14/11)=(45/22)=2.045454545 (5/4)*(9/7)*(14/11)*(23/18)=(115/44)=2.613636364 (5/4)*(9/7)*(14/11)*(23/18)*(37/29)=3.334639498 (5/4)*(9/7)*(14/11)*(23/18)*(37/29)*(60/47)=4.256986594 (5/4)*(9/7)*(14/11)*(23/18)*(37/29)*(60/47)*(97/76)=5.433259205 (5/4)*(9/7)*(14/11)*(23/18)*(37/29)*(60/47)*(97/76)*(157/123)=6.935135733 (5/4)*(9/7)*(14/11)*(23/18)*(37/29)*(60/47)*(97/76)*(157/123)*(254/199)=8.85188179 And that's all although used a few octaves Genre microtonal