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Why Do Just Intonation Keys Have Different Aural Characteristics - Piano Tuner

Why Do Just Intonation Keys Have Different Aural Characteristics?

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Estimated reading time 4 minutes

Table of Contents

Introduction

Have you ever wondered why just intonation sounds different in different keys? This happens because the structure of just intonation diverges from equal temperament (the modern tuning standard), resulting in a different sound. Read more to learn the answer to the question, “Why do just intonation keys have different aural characteristics?”

This article uses musical terms. For definitions, see the Glossary at the end of the post.

Why Do Just Intonation Keys Have Different Aural Characteristics - Tuning Forks

Why Just Intonation Keys Have Different Aural Characteristics: Just Intonation vs Equal Temperament

  • “Why do just intonation keys have different aural characteristics?” It has to do with just intonation’s tuning structure. To understand this better, we’ll look at how just intonation (JI) differs from equal temperament (ET).
  • The semitones between the 12 ET tones divide the octave (Thus, why it’s called equal temperament.) So, the tuning will sound the same in all keys. However, the JI intervals have been tuned to the harmonic series. This means that an interval class in JI, such as a semitone, can have more than one interval size.
  • In other words, a half step in one key may be larger or smaller than in other keys. Which will be true for other intervals such as thirds, fifths, and octaves as well. For instance, the distance between E and Eb may not be the same as the distance between D and Db.
  • In addition, the overall quality of JI will sound different than ET because the harmonies will be more in tune. However, the melodies in JI can sound “stretched” when compared to ET.
  • A third difference between JI and ET (and the point of today’s post) concerns key coloration. Because of the equal nature of ET, you don’t get any key coloration between keys.
  • However, in JI, depending on the intervals chosen by the composer, the keys can sound different from each other, because of key coloration. This directly stems from the fact that JI can have more than one size interval per interval class.
Intonation and Supplemented Equal Temperament - Synth - On the Electric Keyboard Can You Play Dynamics - Why Do Just Intonation Keys Have Different Aural Characteristics

Key Coloration and Why Just Intonation Keys Have Different Aural Characteristics

  • “Why do just intonation keys have different aural characteristics?” Because some JI keys may have a different tuning in one key versus another.
  • It really depends on how many pitches the composer decides to use. If the composer has an infinite number of notes (such as when using a soft-synth program), there won’t necessarily be any key coloration.
  • Why? Because the composer will always have the option to choose the ideal interval combinations to create sweet sounding chords.
  • However, if a composer wants to use physical instruments, ideal interval combinations won’t always be an option. For example, Harry Partch’s tuning system (with its array of custom-built instruments), has only 43 notes.
  • Why is this important? Because if you compose near the edges of Partch’s tuning system, you’ll sometimes need to choose less than ideal interval combinations to create your chords.
  • When this happens, it impacts the overall tone color of the chord. If enough chords have this happen, you may notice a difference in the sound quality between the keys.
  • Also, some composers may choose different interval combinations from one key to another because they like the sound.
  • The first video below shows a Chopin piece performed in an idealized just intonation tuning using the computer programs Sibelius and NotePerformer.
  • The second video shows how you’d make some of Partch’s instruments. In addition, it has his music playing in the background. You can hear he’s made note selections that you won’t find in ET compositions. Some pieces sound almost like they could be from an ET composition while others don’t.

Mobile users: for best results watching the videos, tilt your screen 90o to the right.

Video: A Chopin Piece in an Idealized Just Intonation Tuning

Video: Harry Partch’s Instruments and Music

Concluding Thoughts to “Why do just intonation keys have different aural characteristics?”

“Why do just intonation keys have different aural characteristics?” Because JI has a wider range of options for tuning intervals from one key to the next. Therefore, key coloration can result from either the composer’s choice of intervals or from compositional necessity. Have fun listening and composing!

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