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While some files span multiple octaves or include [[Subharmonic|non-reduced intervals below the unison]], these instances are relatively rare. Most are periodic tunings in alignment with the [[octave]], the archive's most common interval. (Note: rather than relatively rare, some are purposefully wrong, since scala file definition asks for omit the 1, and end with the equave)  
While some files span multiple octaves or include [[Subharmonic|non-reduced intervals below the unison]], these instances are relatively rare. Most are periodic tunings in alignment with the [[octave]], the archive's most common interval. (Note: rather than relatively rare, some are purposefully wrong, since scala file definition asks for omit the 1, and end with the equave)  
[[File:Scala archive intervals.jpg|thumb|Distribution of intervals. The two graphics depict identical data. The first graphic displays both vertical and horizontal axes on a linear scale, while the second utilizes a logarithmic scale for the vertical axis. This logarithmic scale highlights intervals that occur only once, significantly beyond the octave, as well as those appearing below a value of 1.]]


In a direct analysis of the files, the first key from each tuning, totaling 87,558 notes, reveals the octave as the most common, appearing with its exact representation in 4,481 total files and with close variations in practically all tunings.
In a direct analysis of the files, the first key from each tuning, totaling 87,558 notes, reveals the octave as the most common, appearing with its exact representation in 4,481 total files and with close variations in practically all tunings.


The [[perfect fifth]] emerges as the second most popular interval, succeeded by the [[perfect fourth]] and major third.
The [[perfect fifth]] emerges as the second most popular interval, succeeded by the [[perfect fourth]] and major third.
 
{| class="wikitable"
|+Top 5 Intervals
!Interval
!Name
!Occurrences
|-
|2/1
|octave
|4481
|-
|3/2
|perfect fifth
|2001
|-
|4/3
|perfect fourth
|1743
|-
|5/4
|major third
|1290
|-
|9/8
|major whole tone
|1095
|}
Assuming all tunings are periodic, cyclical pitch sets, the octave is identified as the [[interval of equivalence]] in 4,379 tuning files. The next most common [[equave]] is the [[Tritave|twelfth]], with only 93 files.
Assuming all tunings are periodic, cyclical pitch sets, the octave is identified as the [[interval of equivalence]] in 4,379 tuning files. The next most common [[equave]] is the [[Tritave|twelfth]], with only 93 files.


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