26edo: Difference between revisions
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''26edo'' divides the [[Octave|octave]] into 26 equal parts of 46.154 [[cent|cent]]s each. It tempers out 81/80 in the [[5-limit|5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit|7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone_family|injera]], [[Meantone_family|flattone]], [[Jubilismic_clan#Lemba|lemba]] and [[Jubilismic_clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4|7/4]]). | ''26edo'' divides the [[Octave|octave]] into 26 equal parts of 46.154 [[cent|cent]]s each. It tempers out 81/80 in the [[5-limit|5-limit]], making it a meantone tuning with a very flat fifth. In the [[7-limit|7-limit]], it tempers out 50/49, 525/512 and 875/864, and supports [[Meantone_family|injera]], [[Meantone_family|flattone]], [[Jubilismic_clan#Lemba|lemba]] and [[Jubilismic_clan#Doublewide|doublewide]] temperaments. It really comes into its own as a higher-limit temperament, being the smallest equal division which represents the [[13-limit|13 odd limit]] [[consistent|consistently]]. 26edo has a very good approximation of the harmonic seventh ([[7/4|7/4]]). | ||
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|- | |- | ||
| style="text-align:center;" | diminished | | style="text-align:center;" | diminished | ||
| style="text-align:center;" | | | style="text-align:center;" | zo | ||
| style="text-align:center;" | {a, b, 0, 1} | | style="text-align:center;" | {a, b, 0, 1} | ||
| style="text-align:center;" | 7/6, 7/4 | | style="text-align:center;" | 7/6, 7/4 | ||
|- | |- | ||
| style="text-align:center;" | minor | | style="text-align:center;" | minor | ||
| style="text-align:center;" | fourthward | | style="text-align:center;" | fourthward wa | ||
| style="text-align:center;" | {a, b}, b < -1 | | style="text-align:center;" | {a, b}, b < -1 | ||
| style="text-align:center;" | 32/27, 16/9 | | style="text-align:center;" | 32/27, 16/9 | ||
|- | |- | ||
| style="text-align:center;" | " | | style="text-align:center;" | " | ||
| style="text-align:center;" | | | style="text-align:center;" | gu | ||
| style="text-align:center;" | {a, b, -1} | | style="text-align:center;" | {a, b, -1} | ||
| style="text-align:center;" | 6/5, 9/5 | | style="text-align:center;" | 6/5, 9/5 | ||
|- | |- | ||
| style="text-align:center;" | major | | style="text-align:center;" | major | ||
| style="text-align:center;" | | | style="text-align:center;" | yo | ||
| style="text-align:center;" | {a, b, 1} | | style="text-align:center;" | {a, b, 1} | ||
| style="text-align:center;" | 5/4, 5/3 | | style="text-align:center;" | 5/4, 5/3 | ||
|- | |- | ||
| style="text-align:center;" | " | | style="text-align:center;" | " | ||
| style="text-align:center;" | fifthward | | style="text-align:center;" | fifthward wa | ||
| style="text-align:center;" | {a, b}, b > 1 | | style="text-align:center;" | {a, b}, b > 1 | ||
| style="text-align:center;" | 9/8, 27/16 | | style="text-align:center;" | 9/8, 27/16 | ||
|- | |- | ||
| style="text-align:center;" | augmented | | style="text-align:center;" | augmented | ||
| style="text-align:center;" | | | style="text-align:center;" | ru | ||
| style="text-align:center;" | {a, b, 0, -1} | | style="text-align:center;" | {a, b, 0, -1} | ||
| style="text-align:center;" | 9/7, 12/7 | | style="text-align:center;" | 9/7, 12/7 | ||
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | color of the 3rd | ! | [[Kite's color notation|color of the 3rd]] | ||
! | JI chord | ! | JI chord | ||
! | notes as edosteps | ! | notes as edosteps | ||
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! | spoken name | ! | spoken name | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | zo | ||
| style="text-align:center;" | 6:7:9 | | style="text-align:center;" | 6:7:9 | ||
| style="text-align:center;" | 0-6-15 | | style="text-align:center;" | 0-6-15 | ||
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| style="text-align:center;" | C flat-three or C dim-three | | style="text-align:center;" | C flat-three or C dim-three | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | gu | ||
| style="text-align:center;" | 10:12:15 | | style="text-align:center;" | 10:12:15 | ||
| style="text-align:center;" | 0-7-15 | | style="text-align:center;" | 0-7-15 | ||
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| style="text-align:center;" | C minor | | style="text-align:center;" | C minor | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | yo | ||
| style="text-align:center;" | 4:5:6 | | style="text-align:center;" | 4:5:6 | ||
| style="text-align:center;" | 0-8-15 | | style="text-align:center;" | 0-8-15 | ||
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| style="text-align:center;" | C major or C | | style="text-align:center;" | C major or C | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | ru | ||
| style="text-align:center;" | 14:18:27 | | style="text-align:center;" | 14:18:27 | ||
| style="text-align:center;" | 0-9-15 | | style="text-align:center;" | 0-9-15 | ||
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|- | |- | ||
| style="text-align:center;" | 81/80 | | style="text-align:center;" | 81/80 | ||
| | | -4 4 -1 > | | |<nowiki> | -4 4 -1 </nowiki>> | ||
| style="text-align:right;" | 21.51 | | style="text-align:right;" | 21.51 | ||
| style="text-align:center;" | Syntonic Comma | | style="text-align:center;" | Syntonic Comma | ||
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|- | |- | ||
| style="text-align:center;" | 5696703/5695946 | | style="text-align:center;" | 5696703/5695946 | ||
| | | -17 62 -35 > | | |<nowiki> | -17 62 -35 </nowiki>> | ||
| style="text-align:right;" | 0.23 | | style="text-align:right;" | 0.23 | ||
| style="text-align:center;" | Senior | | style="text-align:center;" | Senior | ||
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|- | |- | ||
| style="text-align:center;" | 525/512 | | style="text-align:center;" | 525/512 | ||
| | | -9 1 2 1 > | | |<nowiki> | -9 1 2 1 </nowiki>> | ||
| style="text-align:right;" | 43.41 | | style="text-align:right;" | 43.41 | ||
| style="text-align:center;" | Avicennma | | style="text-align:center;" | Avicennma | ||
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|- | |- | ||
| style="text-align:center;" | 50/49 | | style="text-align:center;" | 50/49 | ||
| | | 1 0 2 -2 > | | |<nowiki> | 1 0 2 -2 </nowiki>> | ||
| style="text-align:right;" | 34.98 | | style="text-align:right;" | 34.98 | ||
| style="text-align:center;" | Tritonic Diesis | | style="text-align:center;" | Tritonic Diesis | ||
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|- | |- | ||
| style="text-align:center;" | 875/864 | | style="text-align:center;" | 875/864 | ||
| | | -5 -3 3 1 > | | |<nowiki> | -5 -3 3 1 </nowiki>> | ||
| 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;" | 4000/3969 | | style="text-align:center;" | 4000/3969 | ||
| | | 5 -4 3 -2 > | | |<nowiki> | 5 -4 3 -2 </nowiki>> | ||
| 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;" | 1728/1715 | | style="text-align:center;" | 1728/1715 | ||
| | | 6 3 -1 -3 > | | |<nowiki> | 6 3 -1 -3 </nowiki>> | ||
| style="text-align:right;" | 13.07 | | style="text-align:right;" | 13.07 | ||
| style="text-align:center;" | Orwellisma | | style="text-align:center;" | Orwellisma | ||
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|- | |- | ||
| style="text-align:center;" | 1029/1024 | | style="text-align:center;" | 1029/1024 | ||
| | | -10 1 0 3 > | | |<nowiki> | -10 1 0 3 </nowiki>> | ||
| 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;" | 321489/320000 | | style="text-align:center;" | 321489/320000 | ||
| | | -9 8 -4 2 > | | |<nowiki> | -9 8 -4 2 </nowiki>> | ||
| style="text-align:right;" | 8.04 | | style="text-align:right;" | 8.04 | ||
| style="text-align:center;" | Varunisma | | style="text-align:center;" | Varunisma | ||
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|- | |- | ||
| style="text-align:center;" | 1065875/1063543 | | style="text-align:center;" | 1065875/1063543 | ||
| | | -26 -1 1 9 > | | |<nowiki> | -26 -1 1 9 </nowiki>> | ||
| style="text-align:right;" | 3.79 | | style="text-align:right;" | 3.79 | ||
| style="text-align:center;" | Wadisma | | style="text-align:center;" | Wadisma | ||
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|- | |- | ||
| style="text-align:center;" | 4375/4374 | | style="text-align:center;" | 4375/4374 | ||
| | | -1 -7 4 1 > | | |<nowiki> | -1 -7 4 1 </nowiki>> | ||
| style="text-align:right;" | 0.40 | | style="text-align:right;" | 0.40 | ||
| style="text-align:center;" | Ragisma | | style="text-align:center;" | Ragisma | ||
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|- | |- | ||
| style="text-align:center;" | 99/98 | | style="text-align:center;" | 99/98 | ||
| | | -1 2 0 -2 1 > | | |<nowiki> | -1 2 0 -2 1 </nowiki>> | ||
| style="text-align:right;" | 17.58 | | style="text-align:right;" | 17.58 | ||
| style="text-align:center;" | Mothwellsma | | style="text-align:center;" | Mothwellsma | ||
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|- | |- | ||
| style="text-align:center;" | 100/99 | | style="text-align:center;" | 100/99 | ||
| | | 2 -2 2 0 -1 > | | |<nowiki> | 2 -2 2 0 -1 </nowiki>> | ||
| style="text-align:right;" | 17.40 | | style="text-align:right;" | 17.40 | ||
| style="text-align:center;" | Ptolemisma | | style="text-align:center;" | Ptolemisma | ||
| Line 643: | Line 644: | ||
|- | |- | ||
| style="text-align:center;" | 105/104 | | style="text-align:center;" | 105/104 | ||
| | | -3 1 1 1 0 -1 > | | |<nowiki> | -3 1 1 1 0 -1 </nowiki>> | ||
| style="text-align:right;" | 16.57 | | style="text-align:right;" | 16.57 | ||
| style="text-align:center;" | Animist | | style="text-align:center;" | Animist | ||
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|- | |- | ||
| style="text-align:center;" | 65536/65219 | | style="text-align:center;" | 65536/65219 | ||
| | | 16 0 0 -2 -3 > | | |<nowiki> | 16 0 0 -2 -3 </nowiki>> | ||
| 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 > | | |<nowiki> | -7 -1 1 1 1 </nowiki>> | ||
| 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 > | | |<nowiki> | -3 2 -1 2 -1 </nowiki>> | ||
| style="text-align:right;" | 3.93 | | style="text-align:right;" | 3.93 | ||
| style="text-align:center;" | Werckisma | | style="text-align:center;" | Werckisma | ||
| Line 671: | Line 672: | ||
|- | |- | ||
| style="text-align:center;" | 3025/3024 | | style="text-align:center;" | 3025/3024 | ||
| | | -4 -3 2 -1 2 > | | |<nowiki> | -4 -3 2 -1 2 </nowiki>> | ||
| style="text-align:right;" | 0.57 | | style="text-align:right;" | 0.57 | ||
| style="text-align:center;" | Lehmerisma | | style="text-align:center;" | Lehmerisma | ||
| Line 678: | Line 679: | ||
|- | |- | ||
| style="text-align:center;" | 9801/9800 | | style="text-align:center;" | 9801/9800 | ||
| | | -3 4 -2 -2 2 > | | |<nowiki> | -3 4 -2 -2 2 </nowiki>> | ||
| style="text-align:right;" | 0.18 | | style="text-align:right;" | 0.18 | ||
| style="text-align:center;" | Kalisma | | style="text-align:center;" | Kalisma | ||
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[http://soonlabel.com/xenharmonic/archives/3335 Canon 3-in-1 on a ground ‘The tempest’, by Claudi Meneghin] | [http://soonlabel.com/xenharmonic/archives/3335 Canon 3-in-1 on a ground ‘The tempest’, by Claudi Meneghin] | ||
<span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20A%20Time-Yellowed%20Photograph%20of%20Cliffs%20Hangs%20in%20the%20Hall.mp3 A Time-Yellowed Photo of the Cliffs Hangs on the Wall ]</span> by [[IgliashonJones|Igliashon Jones]] | <span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%20A%20Time-Yellowed%20Photograph%20of%20Cliffs%20Hangs%20in%20the%20Hall.mp3 A Time-Yellowed Photo of the Cliffs Hangs on the Wall]</span> by [[IgliashonJones|Igliashon Jones]] | ||
<span style="">[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks]</span> by [[IgliashonJones|Igliashon Jones]] | <span style="">[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/Two%20Pairs%20of%20Socks.mp3 Two Pairs of Socks]</span> by [[IgliashonJones|Igliashon Jones]] | ||
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[http://www.unfretted.com/microtonal/melopoeia-project-26-edo-album-based-on-tolkeins-silmarillion-ainulindale/ Melopœia Project – 26 EDO album based on Tolkein’s Silmarillion – Ainulindalë – Unfretted] | [http://www.unfretted.com/microtonal/melopoeia-project-26-edo-album-based-on-tolkeins-silmarillion-ainulindale/ Melopœia Project – 26 EDO album based on Tolkein’s Silmarillion – Ainulindalë – Unfretted] | ||
[http://micro.soonlabel.com/26edo/20161224_26edo_wing.mp3 Morpheous Wing in 26 edo] by [[Chris_Vaisvil|Chris Vaisvil]] [[Category:26edo]] | [http://micro.soonlabel.com/26edo/20161224_26edo_wing.mp3 Morpheous Wing in 26 edo] by [[Chris_Vaisvil|Chris Vaisvil]] | ||
[[Category:26edo]] | |||
[[Category:edo]] | [[Category:edo]] | ||
[[Category:listen]] | [[Category:listen]] | ||