Skip to main content

Questions tagged [just-intonation]

For questions related to tuning systems that privilege justly tuned intervals as opposed to equal temperament, meantone temperament, etc. Questions will likely also require the tuning tag.

Filter by
Sorted by
Tagged with
3 votes
2 answers
631 views

How to do just intonation interval ear training?

I've been trying to train my ear to distinguish intervals for quite some time but I don't get very good at it. I've got a hypothesis that it's because ask the interval training programs, websites and ...
CrabMan's user avatar
  • 339
0 votes
2 answers
93 views

How to calculate 21-limit just intonation

I am looking for ratios of 21-limit just intonation tuning system to later compare it with the 31-EDO tuning system since they are to some extent similar and close. How could I calculate 21-limit just ...
parvin's user avatar
  • 171
2 votes
1 answer
430 views

guitar - open strings in just intonation

has anyone of you tried to tune your guitar to just intonation? As far as I understand it, it's possible to tune the open strings to just intonation. Consequently, you couldn't fret notes but only use ...
Tom's user avatar
  • 21
2 votes
0 answers
66 views

Consonant vs. Dissonant Major Thirds: Historical Process and Significance of Tuning System

In the comments to the question Why is the fourth against the bass considered a dissonance?, I wrote A 5:4 third was considered dissonant until musical tastes changed and declared it consonant. To ...
Aaron's user avatar
  • 90.2k
6 votes
0 answers
148 views

Is there a list of Just Intonation chords as defined by Fétis, using ratios?

One way of ‘spelling’ chords in just intonation is using ratios - such as 10:12:14:17 (multiplications of the frequency of an implied ‘missing fundamental’). Fétis is quoted in Wikipedia (and here by ...
Richard Bramly's user avatar
13 votes
5 answers
3k views

Why does "just intonation" make it so different keys have different characteristics?

Introduction So, the "just intonation" system introduces a scale where every note is aimed to be a more harmonious low-integer ratio (harmonic) relative to the fundamental. In the case of C,...
Matías Cerioni's user avatar
0 votes
1 answer
78 views

Why does major 2nd have more harmonics than major 3rd?

I was watching this video about Just-intonation tuning system. In this video he is explaining how the harmonics work. He is explaining that the first harmonic is created by dividing a string into half,...
parvin's user avatar
  • 171
5 votes
2 answers
515 views

Could it be possible to convert a midi file from Equal Temperament notes to Just Intonation using Sysex data? [duplicate]

I read today that Sysex files have the capacity to contain additional note pitch information from the regular 0-127 in normal MIDI. Is it possible to convert a regular MIDI file to Sysex type, and add ...
Chessologist's user avatar
1 vote
1 answer
206 views

Equal Temperament as a Stack of Just Intervals

Recently I came up with interesting discovery how to get equally tempered tones by using a stack of just intervals 3/2 and 5/4. Since they are a part of most harmonic cord, major triad, should be ...
Vinkelman's user avatar
6 votes
4 answers
1k views

Outside of Equal Temperament, what decides the spelling of notes in a major scale?

I've been reading up on the history of temperament, and how enharmonic notes are more of a limitation of the modern piano (only one black key), and also mathematically they are the same if you use ...
Darren's user avatar
  • 463
2 votes
0 answers
61 views

What is Just Intonation in detailed terms, and how can I notate it? [duplicate]

I've recently caught a great interest in the use of microtonal music through Just Intonation because of an artist I'm sure you've heard of recently, Jacob Collier. There a point in one of his songs ...
DC 'Dusk' King's user avatar
9 votes
2 answers
210 views

What just intonation intervals are appropriate for the double-harmonic scale?

In musical traditions where something like the double-harmonic scale (e.g. C D♭ E F G A♭ B C) is used, and tuned with some kind of just intonation, what just intervals are preferred for the scale ...
Theodore's user avatar
  • 2,930
6 votes
3 answers
514 views

Equivalence of intervals with octaves between them

Say we play C4 and G4 on the piano at the same time, stop the notes, then play D4 and A4 simultaneously, then the quality of this sound is the same as the quality of the first. To understand why that ...
cuppajoeman's user avatar
8 votes
4 answers
3k views

Violin tuning, equal temperament or just intonation?

I'm tuning my violin now, by making the fifths on open strings sounds most harmonious. So they are just fifths, a little wider than the equal fifth. But then would the gap between the G and E string ...
Jiu's user avatar
  • 353
6 votes
1 answer
909 views

Double bass harmonics are slightly flat?

Here, Lauren Pierce claims that she doesn't use harmonics to tune because they are "slightly flat". Why is this? Is she referring to just intonation vs equal temperament, or inharmonicity, ...
abelian's user avatar
  • 699
4 votes
1 answer
139 views

Alternative intervals power chords in just intonation

I was wondering, distorted power chords tend to work really well because in 12 equal temperament the root and fifth are pretty close to just intonation. A detailed explanation can be found in the link ...
AvidListener's user avatar
6 votes
1 answer
141 views

Song-specific temperament [duplicate]

So equal temperament is a compromise to allow songs to be played without without having to retune them on the fly, to match the more consonant sounding just intonation intervals. However, in a world ...
matero's user avatar
  • 61
2 votes
2 answers
3k views

What are the ratios of Just Intonation?

My Make Noise Morphagene has the following comment in its configuration file: //Ratio Table - Equal Temperament //1.00000: Unison //1.05946: minor 2nd //1.12246: Major 2nd //1.18920: minor 3rd //1....
Jaap Joris Vens's user avatar
1 vote
2 answers
103 views

How to notate a 16:15 frequency in just intonation?

I've often came across tables just chromatic scales like so: C: 1:1 C#: 16:15 D: 9:8 And so forth. I know that at least in Ben Johnston notation, the sharp sign implies that a note's frequency is ...
Rory Dillon's user avatar
3 votes
2 answers
192 views

Do any prominent string players tune the top and bottom string to be a just minor 10th or major 13th?

I'm thinking of bass, viola, violin, and cello, though my question could apply to any instrument tuned in stacked fourths/fifths. Typically the strings are tuned using the 3rd and 4th harmonics so ...
awe lotta's user avatar
  • 1,770
4 votes
2 answers
1k views

How is the Santur (Santour / Santoor) usually tuned (in pure intonation)?

From what I've read the Persian Santur is usually tuned to the Phyrgian mode, but what are the actual frequencies or ratios of the notes? How would I tune one by ear? e.g. a piano tuner might count ...
Martin Fido's user avatar
4 votes
8 answers
5k views

Why can't notes be tuned according to a defined frequency?

Why is it that everyone says a piano can never be in tune? Why can't we just assign a particular frequency to every note (A, A#, B, C, C#, etc) and then tune each piano string to the frequency of each ...
Lelouche Lamperouge's user avatar
5 votes
4 answers
5k views

If the resolution of human hearing is approximately five cents, how can musicians play works with intonation changes of less than five cents?

Sources1 suggest that the frequency resolution of humans—our ability to discriminate differences in pitch—is limited to around five cents. If this is the case, how can musicians play an excerpt like ...
Richard's user avatar
  • 84.7k
3 votes
4 answers
394 views

Is a cappella xenharmonic by default?

I recently watched Adam Neely's video about comma pump. He quotes from "Fundamentals of Musical Composition" by Arnold Schoenberg. (Chapter XI, page 99): ...the natural semi-tones differ in ...
Dannyu NDos's user avatar
2 votes
1 answer
472 views

Gibson les paul standard (2019) 50's neck guitar's unique intonation problem

I recently bought a new non-weight relief Gibson les Paul standard with 50's neck. The guitar comes with an ABR style tune-o-matic bridge. As soon as I played it I noticed that the low "E" and "A" ...
Alax's user avatar
  • 21
12 votes
6 answers
2k views

Was equal temperament caused by the invention of the piano, or was it inevitable?

Historically, which key a piece of music was written in made a big difference. Toccata and Fugue in D minor for instance had to be played in that key or it wouldn't sound right. But over the last ...
Ray Butterworth's user avatar
6 votes
3 answers
1k views

Why are bagpipes tuned using just intonation?

To my knowledge, the Great Highland Bagpipes are tuned using just intonation rather than equal tempered tuning. Why is this? What is the advantage of just intonation?
axelotl's user avatar
  • 535
2 votes
1 answer
109 views

Attempt to make Jazz chord progression on 7-Limit tuning

This is a sequel to this question. Refer to it for the just ratio of the tones. Being septimal, I thought it could be used for Jazz. The chord progression I made is (Based on C): CM7 - F♯ø7 - FM7 - ...
Dannyu NDos's user avatar
-1 votes
3 answers
243 views

7-Limit tuned 12 tones? (Revised)

This question is a revision of this question. My theory of harmony was a bit wrong, especially for the G major chord was off. I created a new theory to re-tune the 12 tones. The just ratio of the ...
Dannyu NDos's user avatar
2 votes
1 answer
275 views

7-Limit tuned 12 tones?

I tried to tune the 12 tones differently to gain more harmony. Rather than equal temperament or just intonation, I picked 7-limit tuning. Here're the tones: C = 1/1 C♯ = 21/20 D = 10/9 ...
Dannyu NDos's user avatar
9 votes
2 answers
2k views

Why is the Major-Minor Scale unused?

I tried to make the "best" 7-tone scale in just intonation. Specifically: The tones must be alongside the equal temperament. (7-TET here) The tones must have the least maximum harmonic distance. ...
Dannyu NDos's user avatar
5 votes
3 answers
824 views

Need help understanding the difference between diatonic and chromatic semitones

I am writing an essay on musical temperaments for which I was doing some research on the history of tuning and how it evolved over time. I understand the Pythagorean tuning system quite well now but I ...
user avatar
8 votes
2 answers
2k views

What do you call a scale with 19 notes per octave? Howabout 17 notes per octave?

I know that a 12-note scale (as in the currently ubiquitous 12 equal temperament) is called "chromatic". In a chromatic system, there are sharps and/or flats, but no neighboring sharps and flats. ...
Electric-Gecko's user avatar
10 votes
2 answers
1k views

How did Pythagoras and Ptolemy measure the relative pitch of musical notes?

Both Pythagoras and Ptolemy believed that the intervals between notes in music should be ratios of small integer numbers. This is known as Just Intonation. Pythagoras liked them to derived from ...
Electric-Gecko's user avatar
4 votes
1 answer
459 views

Is this music (flow my tears) here being played in 31 TET or a form of renaissance unequal temperament such as quarter comma meantone?

While looking for 31TET music I stumbled across this recording of "flow my tears" my John Dowland The video description and the album artwork indicate that it's ...
Some_Guy's user avatar
  • 5,089
2 votes
2 answers
381 views

If an ensemble plays using just intonation, is it true the ensemble will always go sharp?

I was once told that an ensemble that plays in just intonation will always go sharp, and I'm wondering if that's actually true. The easiest way to disprove this claim is to find an instance where the ...
Richard's user avatar
  • 84.7k
7 votes
3 answers
689 views

Just intonation within a piece

Say I have a piece in C major. I want just intonation and select pitches for C major. What should happen if the piece stays on an F major triad? Should I switch the intonation to F major for that ...
Gauthier's user avatar
  • 4,688
1 vote
1 answer
2k views

Tuning six-string in open D, just intonation?

I am playing a six-string guitar tuned to open D (DADF#AD). I have “heard tell” of players who use the principles of “just intonation” to... improve/make more pleasing to the ear... the intonation of ...
HLRomberg's user avatar
0 votes
4 answers
2k views

keys with just intonation on guitar with standard tuning

I know that guitar is an imperfect music instrument as in standard tuning the intonation is slightly off. When playing a given chord, one or more notes will be slightly out of tune. I wanted to know ...
Joulin Nicolas's user avatar
3 votes
2 answers
576 views

Just Intonation confusion

Could anybody explain to me what is affected by Just Intonation? The melodic and harmonic intervals or the scale degrees and distance from the tonic?
dudwhuknowstheory's user avatar
3 votes
1 answer
643 views

How are Just-Tuned scales beyond those of 12-notes constructed?

I was experimenting with what ratios come up when one continues on the Pythagorean cycling of fifths, and came up with the following chart: Those ratios beyond the 12-note Pythagorean scale are shown ...
junius's user avatar
  • 203
26 votes
10 answers
6k views

With modern electronic technology is temperament unnecessary?

I am a Physics student but also love math and music, and know a little bit about tuning because it is related to mathematics. So as far as I understand, Just Intonation is more consonant than ...
velut luna's user avatar
1 vote
1 answer
1k views

Tuning type setting on Yamaha CP5?

I would like to change the tuning type on a Yamaha CP5. I could not find anything relevant in the manual, surprisingly, since cheaper models (like P-140) routinely have this setting. There is a thread ...
eudoxos's user avatar
  • 153
7 votes
1 answer
267 views

Double Sharps in Just Intonation. The mathematics?

So I'm experimenting around and I'm creating a small little thing in C#### minor just because. I understand the mathematics of C#### in Pythagorean and Equal Temperment music systems but how do you ...
Neo Scott's user avatar
10 votes
6 answers
27k views

Difference between equal temperament and just intonation

I am learning Indian classical music and learned about just intonation and equal temperament. I want to know the difference between them. I know that Indian classical music uses just intonation and ...
Manoj Singh's user avatar
2 votes
2 answers
614 views

Just intonation with Fluidsynth

Is there a way to get fluidsynth to play in just intonation, or more generally select the intonation of this soft synth?
Dave's user avatar
  • 17.8k
13 votes
2 answers
2k views

What are the characteristic intervals or scales of 13-limit harmony and beyond?

I've been studying and really getting into the Extended Just Intonation music of composers like Ben Johnston and Kyle Gann. I've started trying to explore the sort of intervals and scales that are ...
Pat Muchmore's user avatar
  • 18.3k
3 votes
3 answers
2k views

Does good intonation alone really make you "louder"? If yes, why?

I have multiple times heard this claim, from very different sources. There certainly seems to be some correlation between intonation and "loudness", in the sense that ensembles with great harmony ...
leftaroundabout's user avatar
6 votes
1 answer
1k views

Understanding just intonation, Timidity, and Scala

I'm not a programmer but I am working on a program that manipulates music via MIDI files in all sorts of interesting ways. I want to add the ability to use alternate tunings. I even went so far as to ...
bfootdav's user avatar
  • 373
6 votes
5 answers
4k views

In Pythagorean tuning, what's the frequency of the tonic of each key?

When playing a fretless instrument (like violin), what frequency should be used to tune beginning of each key? I believe that for A major and A minor, 440Hz is the tonic. What will be the frequency ...
Shimmy Weitzhandler's user avatar