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6

A pithy way of saying it is that intonation is the process by which a temperament is achieved. Intonation is what is done in order that the sound is produced at the desired/intended pitch. This can be done as part of instrument setup, e.g. "setting the guitar intonation", or as an integral part of performing the music, e.g. as in expressive intonation. ...


6

The difference is that the nylon strings on the classical are all close to the same diameter, whereas on the steel string the diameter of the smallest string might be about 20% of the size of the diameter of the largest. This matters because the physics you have learned is simplified. Only string that have no thickness and no stiffness exactly fit the ...


4

There is a notation form I have come across called Sagittal notation. It seems pretty comprehensive for microtonic notation. The Sagittal notation system is a comprehensive system for notating musical pitch in all possible scales and tunings - a universal set of microtonal accidentals, equally suited to extended just intonation, equal divisions of the ...


4

You are incorrect in your assertion that there is a physical law being broken here. A guitar has six strings of different diameters, different materials (some strings are a plain length of steel wire, whereas others have other wires wrapped around the steel wire core) and tensile strengths, tuned to different pitches. As a result, there must be a compromise ...


3

Note: For the sake of discussion, I'm limiting myself here to equal temperaments, which is the most common way of tuning keyboards. Other systems exist, of course, but would probably only confuse the matter. Why do B and C and E and F not have a sharp note between them? Simply because, acoustically speaking, there is no room in our current system for ...


2

If you are talking about microtonality - of which I know little, there will have to be a lot more than just changes to E/F and B/C. It's possible to have notes between any adjacent semitones. There could be as many extra notes between G and G# as between E and F. It just happens that it's accepted (and has been for centuries) that the note called F is ...


1

Well, before the keyboard instruments were well tempered [think of the Well-Tempered Klavier], it was impossible to play in tune (i.e. with good intonation) in certain keys. And by the old system it would be impossible to do the annual (or semi-annual) tuning in such a way as to be able to play all keys in tune. Modern string players still have this ...


1

Why do you require abbreviation? If there's a perfectly good term for this that doesn't use an abbreviation, will it be acceptable? "Notes per octave" or "pitches per octave" seem pretty widely used, universally understood, and tuning-agnostic. As an extension of this, scales themselves can be described as n-tonic, where n is a Greek number (as in, ...


1

Just intonation does produce harmonic sounds; perhaps the most harmonic sounds possible. You are correct that for a Justly tuned system to work, then each of the tones that you use will need to be adjusted relative to the current tonic. Because of this, you are correct to think that there will need to be many different 'flavors' of each note, depending on ...


1

The simple answer is that the layout of the piano keyboard is the most useful and efficient possible for playing in equal temperament. If you want to play music in all 12 Major and all 12 Minor keys, this is the keyboard you need. As another answer has observed, our notation system is centered on the key of C Major, so it is only natural that the keyboard ...


1

There are some ambiguities in the way your question is stated. It is difficult to interpreted it in a non-arbitrary way; if you suggest adding one key for E# in addition to the present F key why not suggest for example the addition of two keys for B-flat and A-sharp respectively? And if you suggest reinterpreting E# as the quarter-tone between E and F, why ...



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