Equal temperament tuning means wrongly tuned

[EFAJE]

one must not confuse the "detuning" of equal temperament, with compensation for the inharmonicity of strings - particulalry regarding the piano. They are most definently to be considered seperatley for discussion.

[MucusFelidae]

Hmm.

I thought I once made a bad video and deleted it.

Why do't you re-record the speech audio track.

[tiroirdelmare]

@MucusFelidae 'cause then I should delete all my videos since they're all bad.

[kratanuva725]

I don't see why you need to tune a piano in equal temperment, why not Young's temperment, or even Werckmeister if you are feeling a wee bit adventerous?

Heck, I've seen people tune standard pianos to 19-tet, and just intonation.

Then you have two grand pianos tuned a quarter tone away from eachother as so to play in 24-tet.

[LRonHubCap]

Your mathematical analysis is interesting but you are not getting to the heart of the overall problem because you are only pointing out the deviations from theoretical calculations. Every equally tempered piano is tuned differently because each piano has a different amount of inharmonicity.

[LRonHubCap]

. In other words, by nature, the overtone series results in different frequency numbers which do not match the calculations in theory. The whole strategy of equal temperament was to remove all purity from within the octave and to stretch the octaves themselves to purity

[EFAJE]

@LRonHubCap i thought octave "stretching" occours as a result of string inharmonicity of the higher partials, and has nothing to do with temperaments.

[LRonHubCap]

@EFAJE Here's the thing...Tuning or De-tuning (for that matter) and Tempering are the two different things altogether. There is no "tuning" or "de-tuning" involved in tempering. Tempering involves tempering. The act of tuning has to do with matching the partials on the same note. That's why this whole video is just utter nonsense and blather. If someone were to say, for example, "Equal temperament is wrongly tuned", it would be Gobbledygook.

[LRonHubCap]

@EFAJE As for the whole thing about octave stretching. You are right. That has nothing to do with tempering either. I brought that up because I was looking at the dude's chart, and he has A1 at 220 and A2 at 440. Well....on a piano, for the octave to be tuned to sound good, the "A2 will not equal 440. So that is merely to point out that this guy's chart is based on theoretical physics and not the frequencies found on a real piano. A better circulating temperament is Bach/Lehman.

[LRonHubCap]

This means that for the first time in history, humans were tempering not based on any musical objective but in order to solve the physical problems inherent in the modern piano. In practice, we are achieving equal regularity, NOT MATHEMATICAL EQUALITY, according to the divisions of the syntonic comma. Though this may have been your point, you were not clear and effective in explaining it. This is why there is no substitute for aural tunings for pianos, even when tempering in equal.

[tsup77]

So, when you were making the 4th overtone of the the E match the 3rd overtone of the A440 were you demonstrating just intonation?

[JLMoriart]

@tsup77 Yes, in that detuning one of the notes to make the harmonics line up makes the fundamental frequencies relate by "whole number frequency ratios", which is the definition of just intonation. The only problem is when you have a fixed number of pitches (12) on a one dimensional keyboard (piano) so that if you keep tuning an interval to just intonation (like the fifth making the third harmonic line up), eventually one fifth will be out of tune.

[witchcraftlord]

equal temperment means that you can play a chord or melody in every major and minor key, which should sound in tune or pleasing, no point in saying its wrongly tuned.. its the way the piano is today

[partialalignment]

@witchcraftlord

But equal tempered 3rds are not pleasing, just unstable. All major and minor chords are playable in most well temperaments, but the unstable 3rds in the remote keys are at least, offset by the languid, slow beating 3rds in the commonly used keys. The player has a choice of colour, not just battleship grey!!

[babicbojan]

Very interesting,and nice theoretical explanation on temperament,I would like to see some more,sorry that I happend to be the first one to comment this video