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Yes, you're right. As for why the harmonic series doesn't produce notes that work in all keys, the simple answer is that the math just doesn't add up. Let's work out the math for just intonation: Suppose you choose X Hz for the fundamental frequency and go from there. Then the octave above the fundamental should have frequency 2 X Hz. Meanwhile, the ...

It shouldn't damage anything. However, it will make the strings slightly closer together and it may cause additional wear at the point the string goes over the saddle, since you are now causing a slight sideways angle. If you go through a few sets of strings and aren't breaking an unreasonable amount of strings because of it, you should be fine. A tiny ...

An article by Joe Monzo at http://tonalsoft.com/enc/s/savart.aspx defines the savart as 1/300 of an octave. A savart is calculated as the 300th root of 2, or 2(1/300), with a ratio of approximately 1:1.002313162. It is an irrational number. A savart has an interval size of approximately 4 cents. savart = 1000log10(f2/f1) cents = 1200log2(f2/f1)

Now that you've explained that your tuning is G-D-D-F-G#-B, I understand why you have problems with intonation, and problems with some strings being too high over the nut or bridge. From your earlier comment, do you mean to say that your local guitar store selected six individual strings for you based on those pitches in your tuning? Or did they sell you a ...

I have often found it helpful to use mental cues to aid pitch when I'm having trouble. I have heard many choral directors, as well as my own college voice professor, talk about 'landing on top of the pitch'. This really has to do with a sort of 'musical momentum,' almost as if our pitch were an object governed by Newton's first law. When a melodic line is ...

Get the heaviest gauge strings that you can handle, don't worry about the material properties of the strings. The string tension itself is the primary variable affecting unintentional bending. Obviously, using heavier gauge strings results in higher tension (for a given tuning) Note that longer scale length (e.g. 25.5") will also have higher string tension ...

Another factor is the frets on the guitar. Tall "jumbo" frets have more clearance between the top surface of the fret and the fingerboard. If you press down hard when you fret the string, the pitch might be pulled sharp. Tall frets have been popular on guitars for the last thirty years or so; "vintage" electric guitars tended to have small frets that are not ...

Okay, I've been working a while with many different fields of music... I certainly wouldn't say that vocals are my specialty; however, rather than doing what every other answer suggests (having you use a program that "trains" your intonation to become more in tune), I think it'd be a lot more effective and genuine if you were to just simply work on the ...

Search on youtube for singing exercises for your range. These exercises should just be a bunch of piano notes. On these exercises practice your vowels a lot. The 'ah' sound and 'eh' sounds are always a bit harder than the 'ii' sound for example. So start one of these tracks and sing 'ah-ah-ah' both legato en staccato on these notes. Make sure you are not ...

I doubt if you've turned the bridge by even one degree, so it won't hurt anything. On some guitars, the individual saddle can be unthreaded and turned through 180 degrees, to give more adjustment back or forth for intonating.Particularly those with triangular shaped saddles.Is it not possible to move the whole bridge assembly forward so that it is parallel ...

Cents, as the name implies, are 1/100th of a semitone (or "chromatic interval"), when working in 12-tone equal temperment (12-TET). So, as long as your definition of "savar" is in relation to a "chromatic interval" that is defined as a 12th of an octave, then you should be able to convert back and forth by simply defining 1 savar = 2 cents. However, if the ...

Here is a table that I have adapted from one in Wikipedia that illustrates how just intonation differs from 12-tone equal temperament. In modern instrument tuning, an octave is divided into 1200 cents. There are 100 cents in an equal-tempered half-step, and all half-steps are equal in their distance apart. However, in just intonation, not all half-steps ...

Good question. I have a suggestion. As an exercise devise a program that randomly generates a pleasing tone in the range of your voice then you try to match it. The program listens and gives you a score on how close you got it. The next level the program requests you to sing a perfect 5th above (adjusting its range so you are not asked to go beyond your ...