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=== Intervals ===
=== Intervals ===
{{MOS intervals}}
{{MOS intervals}}
=== Generator chain ===
{{MOS genchain}}


=== Modes ===
=== Modes ===
{{MOS mode degrees}}
{{MOS mode degrees}}
Inthar and cellularAutomaton have proposed mode names based on scientific names of various corvids. The names as of 5/2/23{{Clarify}} are as follows.
{{MOS modes|Mode Names=Cristatan;
Pican;
Stellerian;
Podocian;
Nucifragan;
Coracian;
Frugilegian;
Temnurial;
Pyrrhian|Table Headers=Name Origin|Table Entries=Bluejay ''(Cyanocitta cristata)'';
Magpie ''(Pica pica)'';
Steller's jay ''(Cyanocitta stelleri)'';
Ground jay ''(genus Podoces)'';
Nutcracker ''(genus Nucifraga)'';
Common raven ''(Corvus corax)'';
Rook ''(Corvus frugilegus)'';
Ratchet-tailed treepie ''(genus Temnurus)'';
Chough ''(genus Pyrrhocorax)'';}}


Note that the darkest two modes have no diatonic or [[armotonic]] fifth on the root in nonextreme semiquartal tunings.
Note that the darkest two modes have no diatonic or [[armotonic]] fifth on the root in nonextreme semiquartal tunings.
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== Tuning ranges ==
== Tuning ranges ==
=== Hard-of-basic ===
=== Hard-of-basic ===
Hard-of-basic tunings have [[Semifourth|semifourths]] as generators, between 1\5 (240{{c}}) and 3\14 (257.14{{c}}), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "ultramajor" chords and "inframinor" triads could be viewed as approximating 10:13:15 and 26:30:39. See [[Arto and Tendo Theory]].
Hard-of-basic tunings have [[semifourth]]s as generators, between 1\5 (240{{c}}) and 3\14 (257.14{{c}}), where two of them create a diatonic 4th. The generator could be viewed as a 15/13, and the resulting "inframinor" and "ultramajor" chords and triads could be viewed as approximating, respectively, 26:30:39 and 10:13:15 (see [[Arto and tendo theory]]).


==== Hypohard ====
==== Hypohard ====
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| 4\19, 252.63
| 4\19, 252.63
|-
|-
| L ({{nowrap|octave − 4g}})
| L ({{nowrap|octave − 4g}})
| 171.43
| 171.43
| 178.72
| 178.72
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| 189.47
| 189.47
|-
|-
| s ({{nowrap|5g − octave}})
| s ({{nowrap|5g − octave}})
| 85.71
| 85.71
| 76.60
| 76.60
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This range is notable for having many simple tunings that are close to being "eigentunings" (tunings that tune a certain JI interval exactly):
This range is notable for having many simple tunings that are close to being "eigentunings" (tunings that tune a certain JI interval exactly):
* 33edo semiquartal has close 7/5 (error −0.69{{c}}), 9/5 (error −0.59{{c}}) and 9/7 (error +1.28{{c}}), thus can be used for the close 5:7:9 in the two Locrian-like modes 1|7 and 0|8
* 33edo semiquartal has close 7/5 (error −0.69{{c}}), 9/5 (error −0.59{{c}}) and 9/7 (error +1.28{{c}}), thus can be used for the close 5:7:9 in the two Locrian-like modes 1|7 and 0|8
* 52edo semiquartal has close 22/19 (error +0.04{{c}})
* 52edo semiquartal has close 22/19 (error +0.04{{c}})
* 19edo semiquartal has close 6/5 (error +0.15{{c}}) and 28/27 (error +0.20{{c}})
* 19edo semiquartal has close 6/5 (error +0.15{{c}}) and 28/27 (error +0.20{{c}})
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| 6\29, 248.28
| 6\29, 248.28
|-
|-
| L ({{nowrap|octave − 4g}})
| L ({{nowrap|octave − 4g}})
| 189.47
| 189.47
| 200.00
| 200.00
| 206.90
| 206.90
|-
|-
| s ({{nowrap|5g − octave}})
| s ({{nowrap|5g − octave}})
| 63.16
| 63.16
| 50.00
| 50.00
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| 8\37, 259.46
| 8\37, 259.46
|-
|-
| L ({{nowrap|octave − 4g}})
| L ({{nowrap|octave − 4g}})
| 156.52
| 156.52
| 150.00
| 150.00
| 162.16
| 162.16
|-
|-
| s ({{nowrap|5g − octave}})
| s ({{nowrap|5g − octave}})
| 104.35
| 104.35
| 112.50
| 112.50
| 97.30
| 97.30
|}
|}
=== Tuning examples ===
=== Tuning examples ===
An example in the Diasem Lydian mode LSLSLMLSLM with M and S equated. ([[:File:Diasem Lydian Example Score.pdf|score]])
An example in the Diasem Lydian mode LSLSLMLSLM with M and S equated. ([[:File:Diasem Lydian Example Score.pdf|score]])
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== Scale tree ==
== Scale tree ==
{{Scale tree
{{MOS tuning spectrum
| depth=6
| 5/4 = Septimin
| Comments=5/4: Septimin;
| 4/3 = Beep
4/3: Beep;
| 3/2 = Bug
3/2: Bug;
| 13/8 = Golden bug
13/8: Golden bug;
| 13/5 = Golden semaphore
13/5: Golden semaphore;
| 3/1 = Godzilla
3/1: Godzilla;
| 11/3 = Semaphore
11/3: Semaphore}}
}}


== Gallery ==
== Gallery ==
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; [[Frédéric Gagné]]
; [[Frédéric Gagné]]
* ''Whalectric'' (2022) – [https://youtu.be/_E6qvbJWYY8 YouTube] | [https://musescore.com/fredg999/whalectric score] – In [[51edo]], 4|4 mode
* ''Whalectric'' (2022) – [https://youtu.be/_E6qvbJWYY8 YouTube] | [https://musescore.com/fredg999/whalectric score] – In [[51edo]], 4|4 mode


; [[Inthar]]
; [[Inthar]]
* [[:File:Dream EP 14edo Sketch.mp3|''Dream EP 14edo Sketch'']] (2021) – A short swing ditty in [[14edo]], in the 212121221 mode
* [[:File:Dream EP 14edo Sketch.mp3|''Dream EP 14edo Sketch'']] (2021) – A short swing ditty in [[14edo]], in the 212121221 mode
* [[:File:19edo Semaphore Fugue.mp3|''19edo Semaphore Fugue'']] (2021) – An unfinished fugue in [[19edo]], in the 212121221 mode
* [[:File:19edo Semaphore Fugue.mp3|''19edo Semaphore Fugue'']] (2021) – An unfinished fugue in [[19edo]], in the 212121221 mode


; [[Starshine]]
; [[Starshine]]
* [https://soundcloud.com/starshine99/rins-ufo-ride ''Rin's UFO Ride''] (2020) – Semaphore[9] in [[19edo]]
* [https://soundcloud.com/starshine99/rins-ufo-ride ''Rin's UFO Ride''] (2020) – Semaphore[9] in [[19edo]]


; [[Sevish]]
; [[Sevish]]
* [http://www.youtube.com/watch?v=Gcgawrr2xao ''Desert Island Rain''] – Semaphore[9] in [[313edo]] using 65\313 as the generator
* [http://www.youtube.com/watch?v=Gcgawrr2xao ''Desert Island Rain''] – Semaphore[9] in [[313edo]] using 65\313 as the generator


[[Category:Semiquartal| ]] <!-- Main article -->
[[Category:Semiquartal| ]] <!-- Main article -->
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