User:Jbcristian/The Average Tuning System: Difference between revisions

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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.

While some files span multiple octaves or include 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.

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.

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.

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 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.

When calculating all added tones, the complete interval matrix only for the octave-ending tunings yields a total of 2,641,310 intervals, and the list of the most frequent remains largely unchanged.

@@ Line 9: / Line 9: @@
 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.
-While some files span multiple octaves or include 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.
+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.
 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.
-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 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.
 When calculating all added tones, the complete interval matrix only for the octave-ending tunings yields a total of 2,641,310 intervals, and the list of the most frequent remains largely unchanged.