﻿ A potential mathematical solution to the question: 432 hz or 440 hz? - The Funk BlogThe Funk Blog

# A potential mathematical solution to the question: 432 hz or 440 hz?

There exist 14 numbers below fifty that you can multiply up to reach 432 without the use of fractions. The number 440 has not a single whole integer factor below 50, and the only factor that isn't some recurring irrational number is 27 x 27.5 = 440. Compare this with 432 which has a whopping 14 factors in the full list at bottom of this article but they are: 1, 2, 3, 4, 5, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48. They even share the number 27 as a common factor.

Whats better? 432 or 440 hz for the tuning of concert pitch middle A.

It always partly annoyed me to hear that certain frequencies possibly had special significance in the universe.. more so than say other frequencies.

Because frequencies are measured in hertz - cycles per second - and a second aint no thang - it's just anÂ 86400th fraction of a solar day, which by the way is 4 minutes longer than Earth's actual rotation time, which I guess must be about 23 hours 56 minutes:

the time taken by the earth to rotate on its axis relative to the stars, is almost four minutes shorter than the solar day because of the earth's orbital motion.

To put another way, it is not special nature of the universe type thing. It's artbitrary. And it is getting longer each day so I don't see why it would have any special significance. Time is something we project on the universe not the other way round. If anything I'd pick the Schumann resonance of 7.83 Hertz but that's hardly an even number nor needs to be.

TheÂ Schumann resonancesÂ  are a set of spectrum peaks in the extremely lowÂ frequencyÂ (ELF) portion of the Earth's electromagnetic field spectrum.Â Schumann resonancesÂ are global electromagneticÂ resonances, generated and excited by lightning discharges in the cavity formed by the Earth's surface and the ionosphere.

The length of the second is changing: Earth doesnâ€™t rotate uniformly. In fact, itâ€™s rotation decreases being late by 20 millionths of a second every calendar year due to tidal friction caused by the Moon. Currently it is increasing the length of the day by about 2.3 milliseconds per century. A million years from now the day will be about an hour longer.

 Factor 432 440 1 432 1.01852 2 216 2.03704 3 144 3.05556 4 108 4.07407 5 86.4 5.09259 6 72 6.11111 7 61.7143 7.12963 8 54 8.14815 9 48 9.16667 10 43.2 10.1852 11 39.2727 11.2037 12 36 12.2222 13 33.2308 13.2407 14 30.8571 14.2593 15 28.8 15.2778 16 27 16.2963 17 25.4118 17.3148 18 24 18.3333 19 22.7368 19.3519 20 21.6 20.3704 21 20.5714 21.3889 22 19.6364 22.4074 23 18.7826 23.4259 24 18 24.4444 25 17.28 25.463 26 16.6154 26.4815 27 16 27.5 28 15.4286 28.5185 29 14.8966 29.537 30 14.4 30.5556 31 13.9355 31.5741 32 13.5 32.5926 33 13.0909 33.6111 34 12.7059 34.6296 35 12.3429 35.6481 36 12 36.6667 37 11.6757 37.6852 38 11.3684 38.7037 39 11.0769 39.7222 40 10.8 40.7407 41 10.5366 41.7593 42 10.2857 42.7778 43 10.0465 43.7963 44 9.81818 44.8148 45 9.6 45.8333 46 9.3913 46.8519 47 9.19149 47.8704 48 9 48.8889 49 8.81633 49.9074 50 8.64 50.9259

I believe the great Pythagoras was well aware of such matters, hence his choice of 432.

Posted by tomachi on August 22nd, 2018 filed in Music, Science