User:BudjarnLambeth/Sooty fox scale: Difference between revisions

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{{novelty}}
{{novelty}}
A '''sooty fox scale'''{{idiosyncratic}} ('''ed343/338''' or '''syfx'''{{idiosyncratic}}) is an [[equal-step tuning]] in which [[343/338]] is [[Just intonation|justly tuned]] and is divided in a given number of equal steps.  
{{Editable user page|Feel free to add examples of music made with these scales, and feel free to add any new scales, approaches or other concepts you develop based on these ideas.}}
 
 
A '''sooty fox scale'''{{idiosyncratic}} ('''ed343/338''' or '''syfx'''{{idiosyncratic}}) is an [[equal-step tuning]] in which [[343/338]] is [[Just intonation|justly tuned]] and is divided in a given number of equal steps.  


This type of scale is named after the Aleutian sooty fox sparrow, [https://www.inaturalist.org/taxa/343338-Passerella-iliaca-unalaschcensis taxa #343388] on iNaturalist.
This type of scale is named after the Aleutian sooty fox sparrow, [https://www.inaturalist.org/taxa/343338-Passerella-iliaca-unalaschcensis taxa #343388] on iNaturalist.
== Overview ==
A quick overview of the sooty fox scales:
* '''1syfx = An excellent tuning for the [[equalizer subgroup]] 2.3.31.37.41.43.47'''. <small>''Alternatively, an okay [[dual-n|dual]]-7 [[17-limit]] tuning''</small>
* <small>''2syfx = An okay dual-11 tuning for the [[No-twos subgroup temperaments#No-twos-or-threes subgroup temperaments|5.7.11.13.17.19.23 subgroup]]''</small>
* <small>''3syfx = An okay dual-7 tuning for the [[No-twos subgroup temperaments#No-twos-or-threes subgroup temperaments|5.7.11.13.17 subgroup]]''</small>
* '''4syfx = An excellent tuning for the equalizer subgroup 2.3.17.19.23.29'''. <small>''Alternatively, an okay dual-5 [[29-limit]] tuning.''</small>
* '''5syfx = An excellent [[5-limit]] tuning''', also an '''excellent tuning for several different equalizer subgroups including 2.3.5.47.53.73.79.103.106.131.137'''
* '''6syfx = An excellent full [[79-limit]] tuning'''
* <small>''7syfx = (poor JI approximation)''</small>
* <small>''8syfx = An okay [[dual-fifth|dual-3]] [[13-limit]] tuning''</small>
* <small>''9syfx = An okay full 13-limit tuning''</small>
* '''10syfx = An excellent no-31s [[73-limit]] tuning'''
* '''11syfx = An excellent tuning for the equalizer subgroup 2.3.71.73.79.83'''. <small>''Alternatively, an okay full [[41-limit]] tuning''</small>
* <small>''12syfx = An okay dual-2, dual-11 41-limit tuning''</small>
<br>


== The first sooty fox scale  ==
== The first sooty fox scale  ==
{{Infobox ET|1ed343/338}}
{{Infobox ET|1ed343/338|debug=1}}
'''1ed343/338''' or '''1syfx''' for short.
'''1ed343/338''' or '''1syfx''' for short.


Line 12: Line 31:


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|1|343|338|intervals=integer|title=Approximation of harmonics in 1syfx}}
{{Harmonics in equal|1|343|338|intervals=prime|title=Approximation of harmonics in 1syfx}}
{{Harmonics in equal|1|343|338|intervals=prime|title=1syfx contd.|start=12|collapsed=1}}




[[47edo]], [[109ed5]] for comparison:
[[47edo]], [[75edt]], [[110ed5]], [[28edf]] for comparison:
{{Harmonics in equal|47|intervals=integer|collapsed=1}}
{{Harmonics in equal|47|intervals=prime|collapsed=1}}
{{Harmonics in equal|109|5|1|intervals=integer|collapsed=1}}
{{Harmonics in equal|47|intervals=prime|collapsed=1|start=12|title=47edo contd.}}
{{Harmonics in equal|75|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|75|3|1|intervals=prime|collapsed=1|start=12|title=75edt contd.}}
{{Harmonics in equal|110|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|110|5|1|intervals=prime|collapsed=1|start=12|title=110ed5 contd.}}
{{Harmonics in equal|28|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|28|3|2|intervals=prime|collapsed=1|start=12|title=28edf contd.}}


<br>
== The second sooty fox scale  ==
== The second sooty fox scale  ==
{{Infobox ET|2ed343/338}}
{{Infobox ET|2ed343/338|debug=1}}
'''2ed343/338''' or '''2syfx''' for short.
'''2ed343/338''' or '''2syfx''' for short.


Line 27: Line 54:


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|2|343|338|intervals=integer|title=Approximation of harmonics in 2syfx}}
{{Harmonics in equal|2|343|338|intervals=prime|title=Approximation of harmonics in 2syfx}}
{{Harmonics in equal|2|343|338|intervals=prime|title=2syfx contd.|collapsed=1|start=12}}




[[94edo]], [[218ed5]] for comparison:
[[94edo]], [[150edt]], [[219ed5]], [[55edf]] for comparison:
{{Harmonics in equal|94|intervals=integer|collapsed=1}}
{{Harmonics in equal|94|intervals=prime|collapsed=1}}
{{Harmonics in equal|218|5|1|intervals=integer|collapsed=1}}
{{Harmonics in equal|94|intervals=prime|collapsed=1|start=12|title=94edo contd.}}
{{Harmonics in equal|150|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|150|3|1|intervals=prime|collapsed=1|start=12|title=150edt contd.}}
{{Harmonics in equal|219|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|219|5|1|intervals=prime|collapsed=1|start=12|title=219ed5 contd.}}
{{Harmonics in equal|55|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|55|3|2|intervals=prime|collapsed=1|start=12|title=55edf contd.}}


<br>
== The third sooty fox scale  ==
== The third sooty fox scale  ==
{{Infobox ET|3ed343/338}}
{{Infobox ET|3ed343/338|debug=1}}
'''3ed343/338''' or '''3syfx''' for short.
'''3ed343/338''' or '''3syfx''' for short.


=== Intervals ===
=== Intervals ===
{{Interval table|141ed16335/8192}}
{{Interval table|142ed333396/166375}}


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|3|343|338|intervals=integer|title=Approximation of harmonics in 3syfx}}
{{Harmonics in equal|3|343|338|intervals=prime|title=Approximation of harmonics in 3syfx}}
{{Harmonics in equal|3|343|338|intervals=prime|title=3syfx contd.|collapsed=1|start=12}}




[[141edo]], [[327ed5]] for comparison:
[[142edo]], [[224edt]], [[329ed5]], [[83edf]] for comparison:
{{Harmonics in equal|141|intervals=integer|collapsed=1}}
{{Harmonics in equal|142|intervals=prime|collapsed=1}}
{{Harmonics in equal|327|5|1|intervals=integer|collapsed=1}}
{{Harmonics in equal|142|intervals=prime|collapsed=1|start=12|title=142edo contd.}}
{{Harmonics in equal|224|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|224|3|1|intervals=prime|collapsed=1|start=12|title=224edt contd.}}
{{Harmonics in equal|329|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|329|5|1|intervals=prime|collapsed=1|start=12|title=329ed5 contd.}}
{{Harmonics in equal|83|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|83|3|2|intervals=prime|collapsed=1|start=12|title=83edf contd.}}


<br>
== The fourth sooty fox scale  ==
== The fourth sooty fox scale  ==
{{Infobox ET|4ed343/338}}
{{Infobox ET|4ed343/338|debug=1}}
'''4ed343/338''' or '''4syfx''' for short.
'''4ed343/338''' or '''4syfx''' for short.
=== Intervals ===
{{Collapsed huge table|189ed10007/5000}}


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|4|343|338|intervals=integer|title=Approximation of harmonics in 4syfx}}
{{Harmonics in equal|4|343|338|intervals=prime|title=Approximation of harmonics in 4syfx}}
{{Harmonics in equal|4|343|338|intervals=prime|title=4syfx contd.|collapsed=1|start=12}}




[[188edo]], [[436ed5]] for comparison:
[[189edo]], [[299edt]], [[438ed5]], [[110edf]] for comparison:
{{Harmonics in equal|188|intervals=integer|collapsed=1}}
{{Harmonics in equal|189|intervals=prime|collapsed=1}}
{{Harmonics in equal|436|5|1|intervals=integer|collapsed=1}}
{{Harmonics in equal|189|intervals=prime|collapsed=1|start=12|title=189edo contd.}}
{{Harmonics in equal|299|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|299|3|1|intervals=prime|collapsed=1|start=12|title=299edt contd.}}
{{Harmonics in equal|438|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|438|5|1|intervals=prime|collapsed=1|start=12|title=438ed5 contd.}}
{{Harmonics in equal|110|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|110|3|2|intervals=prime|collapsed=1|start=12|title=110edf contd.}}
 
<br>


== The fifth sooty fox scale  ==
== The fifth sooty fox scale  ==
{{Infobox ET|5ed343/338}}
{{Infobox ET|5ed343/338|debug=1}}
'''5ed343/338''' or '''5syfx''' for short.
'''5ed343/338''' or '''5syfx''' for short.
=== Intervals ===
{{Collapsed huge table|236ed29999/15000}}
=== Harmonics ===
{{Harmonics in equal|5|343|338|intervals=prime|title=Approximation of harmonics in 5syfx}}
{{Harmonics in equal|5|343|338|intervals=prime|title=5syfx contd.|collapsed=1|start=12}}
{{Harmonics in equal|5|343|338|intervals=prime|title=5syfx contd.|collapsed=1|start=23}}
{{Harmonics in equal|5|343|338|intervals=prime|title=5syfx contd.|collapsed=1|start=34}}
{{Harmonics in equal|5|343|338|intervals=prime|title=5syfx contd.|collapsed=1|start=45}}
[[236edo]], [[374edt]], [[548ed5]], [[138edf]] for comparison:
{{Harmonics in equal|236|intervals=prime|collapsed=1}}
{{Harmonics in equal|236|intervals=prime|collapsed=1||start=12|title=236edo contd.}}
{{Harmonics in equal|374|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|374|3|1|intervals=prime|collapsed=1|start=12|title=374edt contd.}}
{{Harmonics in equal|548|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|548|5|1|intervals=prime|collapsed=1|start=12|title=548ed5 contd.}}
{{Harmonics in equal|138|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|138|3|2|intervals=prime|collapsed=1|start=12|title=138edf contd.}}
=== Recommended equalizer subgroups ===
{{Idiosyncratic terms}}
Give a few of these a try, see which ones vibe with you. They’re all new and unexplored. So go out and explore, curious sooty fox!
; All-stops
* 2.3.5.47.53.73.79.103.106
* 2.3.5.47.53.73.79.103.106.131.137
* 2.3.5.47.53.73.79.103.106.131.137.181.193.197
* 2.3.5.47.53.73.79.103.106.131.137.181.193.197.223.229
; Hollow middles
* 2.3.5.73.79.103.106.131.137.181.193.197.223.229
* 2.3.5.103.106.131.137.181.193.197.223.229
* 2.3.5.131.137.181.193.197.223.229
* 2.3.5.181.193.197.223.229
; Triplets & quadruplets
* 2.3.5.47.53.73.79
* 2.3.5.73.79.103.106
* 2.3.5.103.106.131.137
* 2.3.5.181.193.197
* 2.3.5.193.197.223.229
<br>
== The sixth sooty fox scale  ==
{{Infobox ET|6ed343/338|debug=1}}
'''6ed343/338''' or '''6syfx''' for short.
=== Intervals ===
{{Collapsed huge table|283ed39979/20000}}
=== Harmonics ===
{{Harmonics in equal|6|343|338|intervals=prime|title=Approximation of harmonics in 6syfx}}
{{Harmonics in equal|6|343|338|intervals=prime|title=6syfx contd.|collapsed=1|start=12|columns=12}}
[[283edo]], [[449edt]], [[658ed5]], [[166edf]] for comparison:
{{Harmonics in equal|283|intervals=prime|collapsed=1}}
{{Harmonics in equal|283|intervals=prime|collapsed=1||start=12|columns=12|title=283edo contd.}}
{{Harmonics in equal|449|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|449|3|1|intervals=prime|collapsed=1|start=12|columns=12|title=449edt contd.}}
{{Harmonics in equal|658|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|658|5|1|intervals=prime|collapsed=1|start=12|title=658ed5 contd.}}
{{Harmonics in equal|166|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|166|3|2|intervals=prime|collapsed=1|start=12|columns=12|title=166edf contd.}}
<br>
== The seventh sooty fox scale  ==
{{Infobox ET|7ed343/338|debug=1}}
'''7ed343/338''' or '''7syfx''' for short.
=== Intervals ===
{{Collapsed huge table|330ed39965/20000}}
=== Harmonics ===
{{Harmonics in equal|7|343|338|intervals=prime|title=Approximation of harmonics in 7syfx}}
{{Harmonics in equal|7|343|338|intervals=prime|title=7syfx contd.|collapsed=1|start=12}}
[[330edo]], [[524edt]], [[767ed5]], [[187edf]] for comparison:
{{Harmonics in equal|330|intervals=prime|collapsed=1}}
{{Harmonics in equal|330|intervals=prime|collapsed=1||start=12|title=330edo contd.}}
{{Harmonics in equal|524|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|524|3|1|intervals=prime|collapsed=1|start=12|title=524edt contd.}}
{{Harmonics in equal|767|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|767|5|1|intervals=prime|collapsed=1|start=12|title=767ed5 contd.}}
{{Harmonics in equal|187|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|187|3|2|intervals=prime|collapsed=1|start=12|title=187edf contd.}}
<br>
== The eighth sooty fox scale  ==
{{Infobox ET|8ed343/338|debug=1}}
'''8ed343/338''' or '''8syfx''' for short.
=== Intervals ===
{{Collapsed huge table|378ed10007/5000}}
=== Harmonics ===
{{Harmonics in equal|8|343|338|intervals=prime|title=Approximation of harmonics in 8syfx}}
{{Harmonics in equal|8|343|338|intervals=prime|title=8syfx contd.|collapsed=1|start=12}}
[[378edo]], [[599edt]], [[877ed5]], [[221edf]] for comparison:
{{Harmonics in equal|378|intervals=prime|collapsed=1}}
{{Harmonics in equal|378|intervals=prime|collapsed=1||start=12|title=378edo contd.}}
{{Harmonics in equal|599|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|599|3|1|intervals=prime|collapsed=1|start=12|title=599edt contd.}}
{{Harmonics in equal|877|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|877|5|1|intervals=prime|collapsed=1|start=12|title=877ed5 contd.}}
{{Harmonics in equal|221|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|221|3|2|intervals=prime|collapsed=1|start=12|title=221edf contd.}}
<br>
== The ninth sooty fox scale  ==
{{Infobox ET|9ed343/338|debug=1}}
'''9ed343/338''' or '''9syfx''' for short.
=== Intervals ===
{{Collapsed huge table|425ed60017/30000}}
=== Harmonics ===
{{Harmonics in equal|9|343|338|intervals=prime|title=Approximation of harmonics in 9syfx}}
{{Harmonics in equal|9|343|338|intervals=prime|title=9syfx contd.|collapsed=1|start=12}}
[[425edo]], [[673edt]], [[986ed5]], [[249edf]] for comparison:
{{Harmonics in equal|425|intervals=prime|collapsed=1}}
{{Harmonics in equal|425|intervals=prime|collapsed=1||start=12|title=425edo contd.}}
{{Harmonics in equal|673|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|673|3|1|intervals=prime|collapsed=1|start=12|title=673edt contd.}}
{{Harmonics in equal|986|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|986|5|1|intervals=prime|collapsed=1|start=12|title=986ed5 contd.}}
{{Harmonics in equal|249|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|249|3|2|intervals=prime|collapsed=1|start=12|title=249edf contd.}}
<br>
== The tenth sooty fox scale  ==
{{Infobox ET|10ed343/338|debug=1}}
'''10ed343/338''' or '''10syfx''' for short.
=== Intervals ===
{{Collapsed huge table|472ed29999/15000}}
=== Harmonics ===
{{Harmonics in equal|10|343|338|intervals=prime|title=Approximation of harmonics in 10syfx}}
{{Harmonics in equal|10|343|338|intervals=prime|title=10syfx contd.|collapsed=1|start=12}}
[[472edo]], [[748edt]], [[1096ed5]], [[276edf]] for comparison:
{{Harmonics in equal|472|intervals=prime|collapsed=1}}
{{Harmonics in equal|472|intervals=prime|collapsed=1||start=12|title=472edo contd.}}
{{Harmonics in equal|748|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|748|3|1|intervals=prime|collapsed=1|start=12|title=748edt contd.}}
{{Harmonics in equal|1096|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|1096|5|1|intervals=prime|collapsed=1|start=12|title=1096ed5 contd.}}
{{Harmonics in equal|276|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|276|3|2|intervals=prime|collapsed=1|start=12|title=276edf contd.}}
<br>
== The eleventh sooty fox scale  ==
{{Infobox ET|11ed343/338|debug=1}}
'''11ed343/338''' or '''11syfx''' for short.
=== Intervals ===
{{Collapsed huge table|519ed99969/50000}}
=== Harmonics ===
{{Harmonics in equal|11|343|338|intervals=prime|title=Approximation of harmonics in 11syfx}}
{{Harmonics in equal|11|343|338|intervals=prime|title=11syfx contd.|collapsed=1|start=12}}
{{Harmonics in equal|11|343|338|intervals=prime|title=11syfx contd.|collapsed=1|start=23}}
[[519edo]], [[823edt]], [[1206ed5]], [[304edf]], for comparison:
{{Harmonics in equal|519|intervals=prime|collapsed=1}}
{{Harmonics in equal|519|intervals=prime|collapsed=1|start=12|title=519edo contd.}}
{{Harmonics in equal|823|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|823|3|1|intervals=prime|collapsed=1|start=12|title=823edt contd.}}
{{Harmonics in equal|1206|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|1206|5|1|intervals=prime|collapsed=1|start=12|title=1206ed5 contd.}}
{{Harmonics in equal|304|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|304|3|2|intervals=prime|collapsed=1|start=12|title=304edf contd.}}
<br>
== The twelfth sooty fox scale  ==
{{Infobox ET|12ed343/338|debug=1}}
'''12ed343/338''' or '''12syfx''' for short.


=== Harmonics ===
=== Harmonics ===
{{Harmonics in equal|5|343|338|intervals=integer|title=Approximation of harmonics in 5syfx}}
{{Harmonics in equal|12|343|338|intervals=prime|title=Approximation of harmonics in 12syfx}}
{{Harmonics in equal|12|343|338|intervals=prime|title=12syfx contd.|collapsed=1|start=12}}




[[235edo]], [[545ed5]] for comparison:
[[566edo]], [[898edt]], [[1315ed5]], [[331edf]], for comparison:
{{Harmonics in equal|235|intervals=integer|collapsed=1}}
{{Harmonics in equal|566|intervals=prime|collapsed=1}}
{{Harmonics in equal|545|5|1|intervals=integer|collapsed=1}}
{{Harmonics in equal|566|intervals=prime|collapsed=1||start=12|title=566edo contd.}}
{{Harmonics in equal|898|3|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|898|3|1|intervals=prime|collapsed=1|start=12|title=898edt contd.}}
{{Harmonics in equal|1315|5|1|intervals=prime|collapsed=1}}
{{Harmonics in equal|1315|5|1|intervals=prime|collapsed=1|start=12|title=1315ed5 contd.}}
{{Harmonics in equal|331|3|2|intervals=prime|collapsed=1}}
{{Harmonics in equal|331|3|2|intervals=prime|collapsed=1|start=12|title=331edf contd.}}


[[Category:Equal-step tunings]]
[[Category:Equal-step tuning]]