7L 19s: Difference between revisions

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Even this far towards [[7edo]] in the [[5L 2s]] descendants, there are still multiple available temperaments. If the (bright) generator is taken as [[4/3]], we are rather beyond the range of standard [[meantone]] or even [[flattone]]. Instead, we have [[flattertone]] in the soft range (with a 33-tone scale of [[26L 7s]]) and [[deeptone]] in the hard one (where the 33-tone scale is [[7L 26s]]).
Even this far towards [[7edo]] in the [[5L 2s]] descendants, there are still multiple available temperaments. If the (bright) generator is taken as [[4/3]], we are rather beyond the range of standard [[meantone]] or even [[flattone]]. Instead, we have [[flattertone]] in the soft range (with a 33-tone scale of [[26L 7s]]) and [[deeptone]] in the hard one (where the 33-tone scale is [[7L 26s]]).


In flattertone, the minor 8-mosstep is a large neutral or submajor third that can still be considered to approximate [[5/4]], while in deeptone, this approximation fails and [[5/4]] is instead equated to the minor 9-mosstep. While the major 8-mosstep, minor 10-mosstep and even diminished 11-mosstep can also be close, no major temperament seems to equate 5/4 to these intervals, although the {{nowrap|26 & amp; 33}} temperament (equating [[5/4]] to the major 8-mosstep) seems promising, if rather complex.
In flattertone, the minor 8-mosstep is a large neutral or submajor third that can still be considered to approximate [[5/4]], while in deeptone, this approximation fails and [[5/4]] is instead equated to the minor 9-mosstep. While the major 8-mosstep, minor 10-mosstep and even diminished 11-mosstep can also be close, no major temperament seems to equate 5/4 to these intervals, although the {{nowrap|26 & 33}} temperament (equating [[5/4]] to the major 8-mosstep) seems promising, if rather complex.


== Scale properties ==
== Scale properties ==
{{TAMNAMS use}}
{{TAMNAMS use}}
{{MOS data}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}
 
=== Modes ===
{{MOS mode degrees}}


== Scale tree ==
== Scale tree ==