User:BudjarnLambeth/Gallery of just intervals
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The following is a gallery of many just intonation intervals which contributors to this wiki have found notable.
The gallery consists of eight 'exhibits'.
Exhibit I: JI ratios for beginners
Visit at Gallery of just intervals/Beginners
This is a small, strictly curated collection of only the most notable JI intervals. These are the ones it is most helpful to familiarise oneself with.
Exhibit II: Comprehensive collection of ratios
Visit at Gallery of just intervals/Comprehensive
This is a huge collection of every single JI interval that meets a certain set of criteria. This may be useful when searching for JI ratios in very narrow, specific range of cents values.
Exhibit III: Freeform collection of ratios
Visit at Gallery of just intervals/Freeform
This is a huge collection of any JI interval that any editor happens to find interesting enough to write about. This collection is not systematic nor curated, anyone can add any interval to it. This may be useful when looking for trends in the intervals xenharmonic theorists are actually interested in writing about in practice, and trying to figure out why.
Exhibit IV: Beyond the octave
Visit at Gallery of just intervals/Above octave
This is a mid sized collection of any JI interval bigger than the octave (2/1), with particular focus on small integer ratios. This collection is not systematic and is only lightly curated. This may be useful when looking for intervals to use in scales with an equave larger than 1200 cents, for example 3/1 (the tritave), 4/1 (the double octave) or 5/1 (the pentave).
Exhibit V: Unnoticeable commas
Visit at Unnoticeable comma
This is a huge collection of any comma smaller than 3.5 cents. This may be useful when looking for commas that produce high-complexity, high-accuracy temperaments, or even microtemperaments.
Exhibit VI: Small commas
Visit at Small comma This is a huge collection of any comma between 3.5 and 30 cents. This may be useful when looking for commas that produce medium-to-high complexity, medium-to-high accuracy temperaments.
Exhibit VII: Medium commas
Visit at Medium comma This is a huge collection of any comma between 30 and 100 cents. This may be useful when looking for commas that produce low-to-medium complexity, low-to-medium accuracy temperaments.
Exhibit VIII: Large commas
Visit at Large comma This is a huge collection of any comma bigger than a 12edo semitone (100 cents). This may be useful when looking for commas that produce low-complexity, low-accuracy exotemperaments.
Other lists of intervals
- Harmonic entropy of just intervals (a procedurally generated list of intervals between 0 and 3600 cents)
- List of superparticular intervals
- List of taxicab-2 intervals