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== The Average Tuning System: Scala Archive Statistics. ==
== The Average Tuning System: Scala Archive Statistics. ==
This tuning system is a statistical representation of the scala archive, a renowned curated database of global tunings, seeking common ground and practical use among diverse world tunings.
This tuning system is a statistical representation of the scala archive, a renowned curated database of global tunings, seeking common ground and practical use among diverse world tunings.
 
{| class="wikitable"
16/15 - 10/9 - 7/6 - 6/5 - 5/4 - 4/3 - √2 - 3/2 - 8/5 - 5/3 - 12/7 - 9/5 - 15/8 - 2/1
|+
!Interval
!Name
|-
|16/15
|minor diatonic semitone
|-
|10/9
|minor whole tone
|-
|7/6
|septimal minor third
|-
|6/5
|minor third
|-
|5/4
|major third
|-
|4/3
|perfect fourth
|-
|√2
|
|-
|3/2
|perfect fifth
|-
|8/5
|minor sixth
|-
|5/3
|major sixth
|-
|12/7
|septimal major sixth
|-
|9/5
|just minor seventh
|-
|15/8
|classic major seventh
|-
|2/1
|octave
|}


====== Statistics and tuning construction: ======
====== Statistics and tuning construction: ======
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Out of the 5,176 files, the range of system sizes extends from 2 to 579. The average system size is 17, with a median of 12. The mode is also 12, appearing 1,546 times, followed by 7-note size tunings with 715 occurrences. This signifies a diverse collection, albeit with a notable concentration of systems hovering around the 12-note mark.
Out of the 5,176 files, the range of system sizes extends from 2 to 579. The average system size is 17, with a median of 12. The mode is also 12, appearing 1,546 times, followed by 7-note size tunings with 715 occurrences. This signifies a diverse collection, albeit with a notable concentration of systems hovering around the 12-note mark.
 
{| class="wikitable"
|+Top 5 Sizes
!Size
!Occurrences
|-
|12
|1546
|-
|7
|715
|-
|5
|231
|-
|19
|218
|-
|8
|206
|}
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)  


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