Reading the rhythm of Binary Number 9/Hexagram 51 is easy: Begin by recognizing the six lines of Binary Number 9, proceeding from bottom to top. Hexagrams are divided into two trigrams, each with three lines.
The rule here: we clap twice for a broken line and once for a solid line, with two claps in the time of one clap.
For Binary Number 9/Hexagram 51: clap , clap-clap, clap-clap, clap , clap-clap, clap-clap ...and Repeat.
The rule here: we clap twice for a broken line and once for a solid line, with two claps in the time of one clap.
For Binary Number 9/Hexagram 51: clap , clap-clap, clap-clap, clap , clap-clap, clap-clap ...and Repeat.
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iChing063=IntegerDigits[#,2,6]&/@Range[0,63];(*BinaryCycleIChing*)iching0=Position[iChing063,0];(*Positionsof0iniChing063*)iChing=Insert[iChing063,0,iching0];(*Addingzerostocompletetherhythmiccontext*)iChingNumber=(*BinaryCycle0-63convertedtoIChinghexagramnumbers*){{2},{24},{7},{19},{15},{36},{46},{11},{16},{51},{40},{54},{62},{55},{32},{34},{8},{3},{29},{60},{39},{63},{48},{5},{45},{17},{47},{58},{31},{49},{28},{43},{23},{27},{4},{41},{52},{22},{18},{26},{35},{21},{64},{38},{56},{30},{50},{14},{20},{42},{59},{61},{53},{37},{57},{9},{12},{25},{6},{10},{33},{13},{44},{63}};
Start by entering a number from 1 to 64 in the InputField and hit Return. The number you enter is always one more than the value of the Binary Hexagram. The sound file displays a binary hexagram horizontally, from left to right (click on the sound file box to expand). Next, the number in brackets {n} gives the corresponding I Ching hexagram number. Finally, the {six digit binary number} is given for a visual comparison with the sound file. For example, enter 10 to display I Ching hexagram 51.
In[]:=
Manipulate[{Sound[SoundNote[#,If[#==1,0.8,0.4],"Woodblock"]&/@Reverse[iChing[[x]]]],iChingNumber[[x]],Reverse[iChing063[[x]]]},{{x,1,64},ControlType->InputField,ControlPlacementLeft,FieldSize->{{4.,4.},{1.3,0}}},SaveDefinitions->True]
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In 1980 I began working with the Binary Cycle and the I Ching to codify rhythms. It’s been a lot of fun playing different combinations of binary numbers within the 6 octaves of 64, while cross checking the oracle of the I Ching. Click the link below to see/hear the original.