Metallic Harmonic Series - First Four Octaves by CMLOEGCMLUIN published on 2020-01-02T15:40:57Z I had a cute idea this afternoon: the metallic harmonic series. If you take the sequence of metallic means (https://en.wikipedia.org/wiki/Metallic_mean) and treat each entry as a pitch scalar, then if you play them in order, you'll hear something like a harmonic series. This is because the first metallic mean is between 1 and 2, the second metallic mean is between 2 and 3, the third metallic mean is between 3 and 4, and so on. (The zeroth metallic mean is 1, so you should start there.) Each successive metallic mean is closer to the lower of its two bounding integers than the previous metallic mean was, so eventually you'll converge onto the traditional harmonic series. But at the beginning this sequence is quite a bit different; the first metallic mean, the golden mean, is ~1.618, is actually closer to 2 than it is to 1. And the second metallic mean, the silver mean, is ~2.414, also still a ways off from 2. The sequence continues ~3.303, ~4.236, ~5.193, ~6.162, ~7.140, ~8.123, ~9.110, ~10.099, ~11.090, ~12.083, ~13.076, ~14.071, ~15.066, etc. So in other words it starts out sounding quite like its own thing, but eventually starts to sound like the traditional harmonic series. Supposedly you should get some wacky combination tones from this scale. This version is not octave reduced. ! Metallic Harmonic Series - First Four Octaves.scl ! Created using Scale Workshop 1.0.2 ! Metallic Harmonic Series - First Four Octaves 16 ! 833.0902964 1525.863964 2068.414762 2499.270889 2851.742647 3148.156427 3403.122211 3626.437685 3824.897979 4003.371993 4165.451482 4313.854124 4450.681905 4577.591891 4695.912293 4800.0000000000