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Tune Smithy : ウィキペディア英語版
Tune Smithy
Tune Smithy is a Windows-based shareware application, with freeware features.
It is an algorithmic composition tool to make fractal music.〔( Review of the fractal tunes is the main focus of the Sound on Sound article )〕 It is now also used frequently as a retuning tool for microtonal composition,〔(References to Tune Smithy in Tuning, timbre, spectrum, scale By William A. Sethares )〕 and for music therapy in conjunction with Barbara Hero’s Lambdoma keyboard.〔(Tune Smithy Software for Lambdoma Keyboard )〕 As a microtuner, it is one of the programs that supports MIDI Tuning Standard sysexes.
The application also contains a polyrhythm metronome, a chord progression player, and an audio pitch tracer which can be used for exact tracing of the pitch of microtonal music and birdsong. Other features include a mouse theremin and a PC keyboard player which can be used to explore alternative keyboard layouts such as the Jankó keyboard, which happens to use the same hexagonal type arrangement of keys as a PC keyboard. Version 3.0 introduces an automated Csound orchestra builder and various other new features.
==Sloth Canon==

Many of the tunes of Tune Smithy are constructed using self-similar number sequences. They are based on a seed such as 0 1 0. If you take every nth note in the sequence, where n is the number of notes in the seed, you get the original sequence again. So for instance, with the 0 1 0 seed you get the integer sequence
0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 3, 2, 1, 2, 1, 2, 3, 2, 3, 4, 3, 2, 3, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0,
〔The On-Line Encyclopedia of Integer Sequences (Number of 1's in ternary (base 3) expansion of n. )〕 where every third number, highlighted in bold, gives the original sequence again, 0, 1, 0, 1, 2, 1, ...

Then if you take every n2 note, you get the same sequenced again, and so on. By distributing these to different instruments you get an endless sloth canon as a result.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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