User:Dummy index/About harmonics: Difference between revisions

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Created page with "==Odd-harmonic sounds== If you play 4:5:6:7 tetrad with several EDOs and some synths, you'll hear a clear beat. Play 4:5, 4:6, 4:7, ... and you'll found that the beat is mainl..."
 
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If you play 4:5:6:7 tetrad with several EDOs and some synths, you'll hear a clear beat. Play 4:5, 4:6, 4:7, ... and you'll found that the beat is mainly caused by 5:7 interval. Synth's preset sound is often square wave or triangular wave, both [[Oddharmonic series|odd-harmonics]]. They don't have 4th harmonics, so 4:7 dyad actually no wah, no beat. 5:7 is the only pair available to beating. Therefore I care about 7/5 interval in [[User:Dummy index/Random lists of temperaments by generator size]].
If you play 4:5:6:7 tetrad with several EDOs and some synths, you'll hear a clear beat. Play 4:5, 4:6, 4:7, ... and you'll found that the beat is mainly caused by 5:7 interval. Synth's preset sound is often square wave or triangular wave, both [[Oddharmonic series|odd-harmonics]]. They don't have 4th harmonics, so 4:7 dyad actually no wah, no beat. 5:7 is the only pair available to beating. Therefore I care about 7/5 interval in [[User:Dummy index/Random lists of temperaments by generator size]].


Odd-harmonic sounds also suppress beating of 1:2. It's insensitive to octave stretching/shrinking.
Odd-harmonic sounds also suppress the beat of 1:2. It's insensitive to octave stretching/shrinking.


Is it reducing the consonance, or reducing the dissonance?
Is it reducing the dissonance, or reducing the consonance?


==Piano sounds==
==Piano sounds==
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λ/8 (recent grand piano?):
λ/8 (recent grand piano?):
* suppress 4:8, 8:16, get clearer octave, almost free from inharmonicity.
* suppress 4:8, 8:16, get clearer octave, almost free from inharmonicity.
* suppress 8:9, clearer 200¢.
* suppress 19:24, clearer 400¢.
* suppress 19:24, clearer 400¢.
* suppress 5:8, clearer 800¢.


λ/6 (upright piano?):
λ/6 (upright piano?):
* suppress 4:6, 6:9, 8:12, get clear perfect-fifth, easy to hear the beat of 2:3, suitable for beat-based tuning techniques.
* suppress 4:6, 6:9, 8:12, get clear perfect-fifth, easy to hear the beat of 2:3, suitable for beat-based tuning techniques.
* suppress 5:6, clearer 300¢.
* suppress 19:24, clearer 400¢.
* suppress 19:24, clearer 400¢.
* suppress 12:19, clearer 800¢.
* suppress 12:19, clearer 800¢.

Latest revision as of 13:58, 3 February 2022

Odd-harmonic sounds

If you play 4:5:6:7 tetrad with several EDOs and some synths, you'll hear a clear beat. Play 4:5, 4:6, 4:7, ... and you'll found that the beat is mainly caused by 5:7 interval. Synth's preset sound is often square wave or triangular wave, both odd-harmonics. They don't have 4th harmonics, so 4:7 dyad actually no wah, no beat. 5:7 is the only pair available to beating. Therefore I care about 7/5 interval in User:Dummy index/Random lists of temperaments by generator size.

Odd-harmonic sounds also suppress the beat of 1:2. It's insensitive to octave stretching/shrinking.

Is it reducing the dissonance, or reducing the consonance?

Piano sounds

Striking point of the string.

λ/7 (traditional?):

  • suppress all x:7.

λ/8 (recent grand piano?):

  • suppress 4:8, 8:16, get clearer octave, almost free from inharmonicity.
  • suppress 8:9, clearer 200¢.
  • suppress 19:24, clearer 400¢.
  • suppress 5:8, clearer 800¢.

λ/6 (upright piano?):

  • suppress 4:6, 6:9, 8:12, get clear perfect-fifth, easy to hear the beat of 2:3, suitable for beat-based tuning techniques.
  • suppress 5:6, clearer 300¢.
  • suppress 19:24, clearer 400¢.
  • suppress 12:19, clearer 800¢.