46

By definition this is not possible. Just intonation ratios are rational numbers, N/M where N, M are integers. Equal temperament is based on defining the smallest ratio as the n-th root of 2, 2^(1/n). For 12TET n = 12. What you are basically asking is if an irrational number can be made to exactly match a ratio of integers. This will never be possible....


45

I think this particular phrasing is rather confusing, as it is trying to talk about two concepts at the same time: enharmonic equivalence, and intonation. The concept of intonation (and temperament, which relates to systems of intonation) deals with the fact that even given a certain reference pitch (such as A4=440), there is no one absolutely correct ...


42

The thing is that the "some tunings that define the notes in that way" in the Wikipedia quote include the most common tuning today, 12-tone equal temperament (12-TET). So, E# and F natural do usually sound the same. ...But not always. Change the tuning system and you can easily have an E# and an F natural that sound slightly different. Just intonation will ...


21

The other answers approach this from dividing the octave and showing that equal divisions must be irrational. Another way of looking at this is to consider whether we can compose an octave by successive multiplications with a rational number. The result is of course the same: we can't. Start with the Fundamental Theorem of Arithmetic: every integer ...


19

It's not going to make much difference. The tension differential is less than 5% overall. If you can manage it, get another guitar and have each in the tuning you need. One always has at least one guitar fewer than one already needs!


19

I've tried all-fourths tuning quite a bit. To me, it definitely makes purely monophonic playing a lot more instinctive (even having got used to standard tuning) - any little one-octave scale shape you learn can be moved anywhere on the neck. … but many things relating to chords become more difficult. In standard tuning, The D, G, and B strings make a lot of ...


15

Right off the bat, barre chords are pretty much ruined. Some of the open chords are still ok, but others you'd have to mute the top strings in some cases where you don't currently have to. Some open chords (the C major shape, for example) free up a finger from one of the strings but then you have to use the finger on another string, so it's a wash (e.g., for ...


15

As I understand the question, this is pure mathematics: No it is impossible. No matter, how many divisions you have, say n, the step width will always be nth root of two and therefore an irrational number. The just relations are rational numbers, so there will always be approximations, but the more you choose, i. e. the higher n is, the closer you will be ...


12

It entirely depends what you want to play. A capo is for transposing a piece up by some number of semitones, without changing the fingering. So let's look at ways to transpose those pieces without a capo -- it will often involve changing the fingering: If the piece does not contain any open strings, you don't need a capo. Just play the piece with your left ...


12

Standard tuning for solo violin in classical music is just intonation. Tune the A string and, from there, tune the other strings with just-intonated perfect fifths. Some times, as a compromise you may need to tune the violin temperate, for example when you need to play many open strings in duo/ensemble with a instrument not capable of just-intonation. ...


11

To answer the question directly - yes, strings are supposed to be EADGBE - in standard tuning. All tabs should have the tuning notes at the beginning. If there are none, assume it's standard. There are many different tunings that can be used for guitar, drop D, for example, where the fat E is tuned a tone lower, to D. This above is open C, as each note is ...


11

You will have a very small amount of extra wear and tear on that machine head and the groove in the nut that string passes through, but aside from that this should cause no damage to an acoustic or electric guitar. The change in tension on the neck from that one shift is not significant, in fact you can get a greater change from atmospheric conditions. So ...


11

Why are they tuned like this? Unlike the rest of strings Simply put because there aren't any strings made that can go high enough without breaking. Could this be achieved with the standard set of unwounded strings? No. Or at least not without sounding terrible and having intonation problems. Should I increase one octave of the higher paired string or ...


10

As per the app you were asking, Pythagorean is the temperament you're looking for. The perfect fifth is the 2:3 frequency ratio (and small rational number frequency ratios are required for the sympathetic vibrations to work). So if your A string is 440Hz, the tuning is as follows: E - 660 Hz A - 440 Hz D - 293.33 Hz G - 195.56 Hz C - 130.37 Hz If you tune ...


10

Switching between standard E tuning and drop D tuning is so common that some guitarists use special tuning knobs that flip between the two with a switch. I have a bass guitar version on my Fender Jazz bass. Some guitarists have practiced this retuning so extensively that they can do it by feel with just the regular knob – if you have ever watched a medley of ...


10

I do not know what "tuning" such as this as A tuning defines the notes of the open strings on a guitar. Standard tuning is E-A-D-G-B-E but other tunings are rather common as well. The main reason behind this is the use of open strings, simplification for specific chord shapes and easier fingering for certain phrases that are important to the song. One ...


9

Your question is a question that is asked by many musicians over a range of instruments, but I think that the real question is a bit more broad than the one in the original post. I believe the real question your looking for is: "How can I make something that is unfamiliar familiar?" The answer to this is frequency. The reason why you have a difficult time ...


9

Actually you’re very close, just change the C to a C# and you’re there! It’s basically an A6 chord tuning. E A C# F# A E. With the capo on the 7th fret it becomes an E6 tuning. B E G# C# E B. The minor 3rd interval between the 2nd and 3rd strings allows for some very nice close voicings and clusters. There’s some very nice guitar work there. Edit: @guidot ...


8

I didn't know this before, but after doing research on other sites I found that this type of tuning is called Open C Tuning. Here are some references on guitar tuning that I found to be useful: Electric tuner [Hear the notes] How to tune guitar to different modes. List of guitar tunings.


8

There is absolutely no "rule of thumb" for any specific tuning which would correspond best to any specific song. There is no tuning which is preferable for fingerstyle guitar. The most we can say is that a tuning may be useful to play a specific song, a specific arrangement of a song, or in a specific key. You may find it helpful to look to the following ...


8

The frequencies of B5 and C6, when using standard 440Hz tuning, are: B5: 987.767 Hz C6: 1046.502 Hz As you can see, 1000Hz is closer to B5. Using the standard way of describing pitch on a logarithmic scale, where a semitone is divided into 100 cents, we find that either: 1000Hz = B5 + 21.31 cents 1000Hz = C6 - 78.69 cents A tuning difference of 21 ...


8

Maybe it makes it more difficult to play for someone who's used to standard tuning, as all chord shapes are different. However, using just one shape, it's possible to move it up and down to produce the chords used in the song. The idea is that the D notes will be very slightly 'out of tune' with each other, which produces what's known as the chorus effect, ...


7

I like the way you've posed this question, and I think you're correct in comparing your problem to musicians who play different instruments in different keys, so I'll answer from that perspective. As jjmusicnotes alluded, it seems the problem may not be playing in different tunings so much as it is switching from one tuning to another after an extended ...


7

If one is aspiring to become a good guitar player, there really is no alternative to learning to finger cleanly. On the other hand, if one wants to simply have fun playing the instrument, and play chords to back one's favorite songs, alternative tunings may reduce the level of technical proficiency required. One tuning which makes it very easy to play a ...


7

Think of the reason you're giving names to notes: communication. So, it depends who you're communicating with, their expectations of you, and your expectations of them. When I play soprano ukulele, I think in terms of the guitar fretboard - the intervals between strings are the same as the top four strings of a guitar. So in my head, I play a guitar "D" ...


7

This should be possible with any type of guitar. Since you are detuning the low E string, i.e. there is less tension overall, this should not be the cause of string breakage. What were you using as a reference tone, are you sure you were tuning the guitar correctly?


7

Anything that achieves the sound you're after is a valid technique! That said, a guitar (for example) out of tune with itself will usually sound a bit unpleasant to most ears. However ... If you listen to Led Zep's Black Dog, the guitars are played twice, panned left and right, and just a touch out of tune with each other. I don't know whether this is ...


7

Unfortunately, it's a bit more complicated than that. There is no single "Just Intonation System"; instead, there are multiple systems which can be said to be just, by virtue of the fact that they use just intervals (i.e. integer frequency ratios). The problem is in determining which ratios you want to use. One such Just system is the Pythagorean system, ...


Only top voted, non community-wiki answers of a minimum length are eligible