Golden sequences and tuning: Difference between revisions
Created page with "Generalized Fibonacci sequences have a number of interesting properties relating to the tuning of MOS scales, and potentially can be used to determine a way to "naturally" tun..." |
added golden tunings |
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!Sequence | !Sequence | ||
!MOSes | !MOSes | ||
!Golden generator | |||
!Notes | !Notes | ||
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|1, 0, 1, 1, 2, 3, 5, 8, 13.. | |1, 0, 1, 1, 2, 3, 5, 8, 13.. | ||
|[[1L 0s]], [[1L 1s]], [[2L 1s]], [[3L 2s]], [[5L 3s]], [[8L 5s]], [[13L 8s]]... | |[[1L 0s]], [[1L 1s]], [[2L 1s]], [[3L 2s]], [[5L 3s]], [[8L 5s]], [[13L 8s]]... | ||
|458.36, 741.64 | |||
|Logarithmic phi MOSes | |Logarithmic phi MOSes | ||
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|2, 1, 3, 4, 7, 11, 18.. | |2, 1, 3, 4, 7, 11, 18.. | ||
|[[3L 1s]], [[4L 3s]], [[7L 4s]], [[11L 7s]], [[18L 11s]]... | |[[3L 1s]], [[4L 3s]], [[7L 4s]], [[11L 7s]], [[18L 11s]]... | ||
|331.67, 868.33 | |||
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|3, 1, 4, 5, 9, 14, 23... | |3, 1, 4, 5, 9, 14, 23... | ||
|[[4L 1s]], [[5L 4s]], [[9L 5s]], [[14L 9s]], [[23L 14s]]... | |[[4L 1s]], [[5L 4s]], [[9L 5s]], [[14L 9s]], [[23L 14s]]... | ||
|259.85, 940.15 | |||
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|4, 1, 5, 6, 11, 17, 28... | |4, 1, 5, 6, 11, 17, 28... | ||
|[[5L 1s]], [[6L 5s]], [[11L 6s]], [[17L 11s]], [[28L 17s]]... | |[[5L 1s]], [[6L 5s]], [[11L 6s]], [[17L 11s]], [[28L 17s]]... | ||
|213.60, 986.40 | |||
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|3, 2, 5, 7, 12, 19, 31... | |3, 2, 5, 7, 12, 19, 31... | ||
|[[5L 2s]], [[7L 5s]], [[12L 7s]], [[19L 12s]], [[31L 19s]]... | |[[5L 2s]], [[7L 5s]], [[12L 7s]], [[19L 12s]], [[31L 19s]]... | ||
|503.79, 696.21 | |||
|Golden meantone | |Golden meantone | ||
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|5, 2, 7, 9, 16, 25, 41... | |5, 2, 7, 9, 16, 25, 41... | ||
|[[7L 2s]], [[9L 7s]], [[16L 9s]], [[25L 16s]], [[41L 25s]]... | |[[7L 2s]], [[9L 7s]], [[16L 9s]], [[25L 16s]], [[41L 25s]]... | ||
|527.15, 672.85 | |||
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|7, 2, 9, 11, 20, 31, 51... | |7, 2, 9, 11, 20, 31, 51... | ||
|[[9L 2s]], [[11L 9s]], [[20L 11s]], [[31L 20s]], [[51L 30s]]... | |[[9L 2s]], [[11L 9s]], [[20L 11s]], [[31L 20s]], [[51L 30s]]... | ||
|541.38, 658.62 | |||
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|4, 3, 7, 10, 17, 27... | |4, 3, 7, 10, 17, 27... | ||
|[[7L 3s]], [[10L 7s]], [[17L 10s]], [[27L 17s]]... | |[[7L 3s]], [[10L 7s]], [[17L 10s]], [[27L 17s]]... | ||
|354.82, 845.18 | |||
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|5, 3, 8, 11, 19, 30... | |5, 3, 8, 11, 19, 30... | ||
|[[8L 3s]], [[11L 8s]], [[19L 11s]], [[30L 19s]]... | |[[8L 3s]], [[11L 8s]], [[19L 11s]], [[30L 19s]]... | ||
|440.59, 759.41 | |||
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|} | |} | ||