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__FORCETOC__
__FORCETOC__
[[File:15_tone_keyboard.png|alt=15 tone keyboard.png|800x333px|15 tone keyboard.png]]
[[File:15_tone_keyboard.png|alt=15 tone keyboard.png|800x333px|15 tone keyboard.png]]


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| style="text-align:center;" | 39.472
| style="text-align:center;" | 39.472
|}
|}


===Patent val mapping===
===Patent val mapping===
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| | α - α
| | α - α
|}
|}
A regular keyboard can be designed using this system placing 7 black keys as porcupine[7] and 8 whites as porcupine[8].
A regular keyboard can be designed using this system placing 7 black keys as porcupine[7] and 8 whites as porcupine[8], and in fact, [https://www.stephenweigelcomposerperformer.com/ Stephen Weigel] has already done this with his pink Halberstadt keyboard.


=Rank two temperaments=
=Rank two temperaments=
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|-
|-
| style="text-align:center;" | 256/243
| style="text-align:center;" | 256/243
| | | 8 -5 >
| |<nowiki> | 8 -5 </nowiki>&gt;
| style="text-align:right;" | 90.22
| style="text-align:right;" | 90.22
| style="text-align:center;" | Limma
| style="text-align:center;" | Limma
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|-
|-
| style="text-align:center;" | 28/27
| style="text-align:center;" | 28/27
| | | 2 -3 0 1 &gt;
| |<nowiki> | 2 -3 0 1 </nowiki>&gt;
| style="text-align:right;" | 62.96
| style="text-align:right;" | 62.96
| style="text-align:center;" | Septimal Third Tone
| style="text-align:center;" | Septimal Third Tone
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|-
|-
| style="text-align:center;" | 250/243
| style="text-align:center;" | 250/243
| | | 1 -5 3 &gt;
| |<nowiki> | 1 -5 3 </nowiki>&gt;
| style="text-align:right;" | 49.17
| style="text-align:right;" | 49.17
| style="text-align:center;" | Maximal Diesis
| style="text-align:center;" | Maximal Diesis
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|-
|-
| style="text-align:center;" | 128/125
| style="text-align:center;" | 128/125
| | | 7 0 -3 &gt;
| |<nowiki> | 7 0 -3 </nowiki>&gt;
| style="text-align:right;" | 41.06
| style="text-align:right;" | 41.06
| style="text-align:center;" | Diesis
| style="text-align:center;" | Diesis
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|-
|-
| style="text-align:center;" | 15625/15552
| style="text-align:center;" | 15625/15552
| | | -6 -5 6 &gt;
| |<nowiki> | -6 -5 6 </nowiki>&gt;
| style="text-align:right;" | 8.11
| style="text-align:right;" | 8.11
| style="text-align:center;" | Kleisma
| style="text-align:center;" | Kleisma
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|-
|-
| style="text-align:center;" | 1029/1000
| style="text-align:center;" | 1029/1000
| | | -3 1 -3 3 &gt;
| |<nowiki> | -3 1 -3 3 </nowiki>&gt;
| style="text-align:right;" | 49.49
| style="text-align:right;" | 49.49
| style="text-align:center;" | Keega
| style="text-align:center;" | Keega
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|-
|-
| style="text-align:center;" | 49/48
| style="text-align:center;" | 49/48
| | | -4 -1 0 2 &gt;
| |<nowiki> | -4 -1 0 2 </nowiki>&gt;
| style="text-align:right;" | 35.70
| style="text-align:right;" | 35.70
| style="text-align:center;" | Slendro Diesis
| style="text-align:center;" | Slendro Diesis
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|-
|-
| style="text-align:center;" | 64/63
| style="text-align:center;" | 64/63
| | | 6 -2 0 -1 &gt;
| |<nowiki> | 6 -2 0 -1 </nowiki>&gt;
| style="text-align:right;" | 27.26
| style="text-align:right;" | 27.26
| style="text-align:center;" | Septimal Comma
| style="text-align:center;" | Septimal Comma
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|-
|-
| style="text-align:center;" | 64827/64000
| style="text-align:center;" | 64827/64000
| | | -9 3 -3 4 &gt;
| |<nowiki> | -9 3 -3 4 </nowiki>&gt;
| style="text-align:right;" | 22.23
| style="text-align:right;" | 22.23
| style="text-align:center;" | Squalentine
| style="text-align:center;" | Squalentine
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|-
|-
| style="text-align:center;" | 875/864
| style="text-align:center;" | 875/864
| | | -5 -3 3 1 &gt;
| |<nowiki> | -5 -3 3 1 </nowiki>&gt;
| style="text-align:right;" | 21.90
| style="text-align:right;" | 21.90
| style="text-align:center;" | Keema
| style="text-align:center;" | Keema
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|-
|-
| style="text-align:center;" | 126/125
| style="text-align:center;" | 126/125
| | | 1 2 -3 1 &gt;
| |<nowiki> | 1 2 -3 1 </nowiki>&gt;
| style="text-align:right;" | 13.79
| style="text-align:right;" | 13.79
| style="text-align:center;" | Septimal Semicomma
| style="text-align:center;" | Septimal Semicomma
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|-
|-
| style="text-align:center;" | 4000/3969
| style="text-align:center;" | 4000/3969
| | | 5 -4 3 -2 &gt;
| |<nowiki> | 5 -4 3 -2 </nowiki>&gt;
| style="text-align:right;" | 13.47
| style="text-align:right;" | 13.47
| style="text-align:center;" | Octagar
| style="text-align:center;" | Octagar
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|-
|-
| style="text-align:center;" | 1029/1024
| style="text-align:center;" | 1029/1024
| | | -10 1 0 3 &gt;
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| style="text-align:right;" | 8.43
| style="text-align:right;" | 8.43
| style="text-align:center;" | Gamelisma
| style="text-align:center;" | Gamelisma
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|-
|-
| style="text-align:center;" | 6144/6125
| style="text-align:center;" | 6144/6125
| | | 11 1 -3 -2 &gt;
| |<nowiki> | 11 1 -3 -2 </nowiki>&gt;
| style="text-align:right;" | 5.36
| style="text-align:right;" | 5.36
| style="text-align:center;" | Porwell
| style="text-align:center;" | Porwell
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|-
|-
| style="text-align:center;" | 250047/250000
| style="text-align:center;" | 250047/250000
| | | -4 6 -6 3 &gt;
| |<nowiki> | -4 6 -6 3 </nowiki>&gt;
| style="text-align:right;" | 0.33
| style="text-align:right;" | 0.33
| style="text-align:center;" | Landscape Comma
| style="text-align:center;" | Landscape Comma
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|-
|-
| style="text-align:center;" | 100/99
| style="text-align:center;" | 100/99
| | | 2 -2 2 0 -1 &gt;
| |<nowiki> | 2 -2 2 0 -1 </nowiki>&gt;
| style="text-align:right;" | 17.40
| style="text-align:right;" | 17.40
| style="text-align:center;" | Ptolemisma
| style="text-align:center;" | Ptolemisma
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|-
|-
| style="text-align:center;" | 121/120
| style="text-align:center;" | 121/120
| | | -3 -1 -1 0 2 &gt;
| |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| style="text-align:right;" | 14.37
| style="text-align:right;" | 14.37
| style="text-align:center;" | Biyatisma
| style="text-align:center;" | Biyatisma
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|-
|-
| style="text-align:center;" | 176/175
| style="text-align:center;" | 176/175
| | | 4 0 -2 -1 1 &gt;
| |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| style="text-align:right;" | 9.86
| style="text-align:right;" | 9.86
| style="text-align:center;" | Valinorsma
| style="text-align:center;" | Valinorsma
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|-
|-
| style="text-align:center;" | 65536/65219
| style="text-align:center;" | 65536/65219
| | | 16 0 0 -2 -3 &gt;
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| style="text-align:right;" | 8.39
| style="text-align:right;" | 8.39
| style="text-align:center;" | Orgonisma
| style="text-align:center;" | Orgonisma
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|-
|-
| style="text-align:center;" | 385/384
| style="text-align:center;" | 385/384
| | | -7 -1 1 1 1 &gt;
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| style="text-align:right;" | 4.50
| style="text-align:right;" | 4.50
| style="text-align:center;" | Keenanisma
| style="text-align:center;" | Keenanisma
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|-
|-
| style="text-align:center;" | 441/440
| style="text-align:center;" | 441/440
| | | -3 2 -1 2 -1 &gt;
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| style="text-align:right;" | 3.93
| style="text-align:right;" | 3.93
| style="text-align:center;" | Werckisma
| style="text-align:center;" | Werckisma
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|-
|-
| style="text-align:center;" | 4000/3993
| style="text-align:center;" | 4000/3993
| | | 5 -1 3 0 -3 &gt;
| |<nowiki> | 5 -1 3 0 -3 </nowiki>&gt;
| style="text-align:right;" | 3.03
| style="text-align:right;" | 3.03
| style="text-align:center;" | Wizardharry
| style="text-align:center;" | Wizardharry
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|-
|-
| style="text-align:center;" | 3025/3024
| style="text-align:center;" | 3025/3024
| | | -4 -3 2 -1 2 &gt;
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| style="text-align:right;" | 0.57
| style="text-align:right;" | 0.57
| style="text-align:center;" | Lehmerisma
| style="text-align:center;" | Lehmerisma
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|-
|-
| style="text-align:center;" | 91/90
| style="text-align:center;" | 91/90
| | | -1 -2 -1 1 0 1 &gt;
| |<nowiki> | -1 -2 -1 1 0 1 </nowiki>&gt;
| style="text-align:right;" | 19.13
| style="text-align:right;" | 19.13
| style="text-align:center;" | Superleap
| style="text-align:center;" | Superleap
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|-
|-
| style="text-align:center;" | 676/675
| style="text-align:center;" | 676/675
| | | 2 -3 -2 0 0 2 &gt;
| |<nowiki> | 2 -3 -2 0 0 2 </nowiki>&gt;
| style="text-align:right;" | 2.56
| style="text-align:right;" | 2.56
| style="text-align:center;" | Parizeksma
| style="text-align:center;" | Parizeksma
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'''[http://micro.soonlabel.com/15-ET/ XA 15-ET Directory]'''
'''[http://micro.soonlabel.com/15-ET/ XA 15-ET Directory]'''


[https://sites.google.com/site/teamouse/home Mizarian Porcupine Overture] <span style=""><span style="">''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3 play]''</span></span> by [[Herman_Miller|Herman Miller]] ([http://teamouse.googlepages.com/home Herman Miller]) ([[Regular_Temperaments#porcupine|porcupine]] chord progressions)
[https://xenharmonicgod.bandcamp.com/album/weigel-family-christmas-xenharmonic-chocolate WEIGEL FAMILY CHRISTMAS (xenharmonic chocolate)], an album of xenharmonic Christmas covers played by [https://www.stephenweigelcomposerperformer.com/ Stephen Weigel], many are in 15edo
 
[https://soundcloud.com/overtoneshock/keep-out-of-my-psyche-15-edo Keep out of my Psyche] by Stephen Weigel
 
[https://sites.google.com/site/teamouse/home Mizarian Porcupine Overture] <span style=""><span style="">''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Herman/MizarianPorcupineOverture.mp3 play]''</span></span> by [[Herman_Miller|Herman Miller]] ([http://teamouse.googlepages.com/home Herman Miller]) ([[Regular_Temperaments#porcupine|porcupine]] chord progressions; this is the song that 'porcupine' is named after)


<span style=""><span style="">''[http://www.microtonalmusic.net/audio/15edostudy.mp3 Study for Bells]''</span></span> by [[Daniel_Thompson|Daniel Thompson]] ([http://danielthompson.blogspot.com/ Daniel Thompson]) (Jan. 2007)
<span style=""><span style="">''[http://www.microtonalmusic.net/audio/15edostudy.mp3 Study for Bells]''</span></span> by [[Daniel_Thompson|Daniel Thompson]] ([http://danielthompson.blogspot.com/ Daniel Thompson]) (Jan. 2007)
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[[:File:happenstance15.ogg|happenstance15.ogg]]Sonic experiment in 15. Somewhat familiar tonality.
[[:File:happenstance15.ogg|happenstance15.ogg]]Sonic experiment in 15. Somewhat familiar tonality.


<span style="">[http://www.youtube.com/watch?v=kQECU5ecCd4 Portrait of insects with 15-tone equal tempered guitar music ]</span>
<span style="">[http://www.youtube.com/watch?v=kQECU5ecCd4 Portrait of insects with 15-tone equal tempered guitar music]</span>


[http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et PentadecafoniCoda (15et)] by <span style="">F.F.F. Fiale</span>
[http://www.reverbnation.com/ffffiale/song/3073160-pentadecafonicoda-15et PentadecafoniCoda (15et)] by <span style="">F.F.F. Fiale</span>
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