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| =Notation= | | =Notation= |
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| {| class="wikitable" | | {| class="wikitable center-all right-1 right-2" |
| |- | | |- |
| | | '''Degree'''
| | ! Degree |
| | style="text-align:center;" | '''Cents'''
| | ! Cents |
| | style="text-align:center;" | Nearest<br />Harmonic
| | ! Nearest <br> [[Harmonic]] |
| | style="text-align:center;" | '''Approximate'''<br />'''Ratios 1''' *
| | ! Approximate <br> Ratios 1 <ref>based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup]]; other approaches are possible.</ref> |
| | style="text-align:center;" | '''Approximate'''<br />'''Ratios 2''' **
| | ! Approximate <br> Ratios 2 <ref>based on treating 14edo as an 11-limit temperament</ref> |
| | colspan="3" style="text-align:center;" | [[Ups_and_Downs_Notation|up/down]]<br />[[Ups_and_Downs_Notation| notation]]
| | ! colspan="3" | [[Ups and Downs Notation|up/down <b> notation]] |
| | style="text-align:center;" | Interval Type
| | ! Interval Type |
| |- | | |- |
| | 0 | | | 0 |
| | style="text-align:center;" | 0.000
| | | 0.000 |
| | style="text-align:center;" | 1
| | | 1 |
| | colspan="2" style="text-align:center;" | 1/1 | | | colspan="2" | 1/1 |
| | style="text-align:center;" | unison
| | | unison |
| | style="text-align:center;" | 1
| | | 1 |
| | style="text-align:center;" | D
| | | D |
| | style="text-align:center;" | Unison
| | | Unison |
| |- | | |- |
| | | 1
| | | 1 |
| | style="text-align:center;" | 85.714
| | | 85.714 |
| | style="text-align:center;" | 67
| | | 67 |
| | style="text-align:center;" | 20/19, 19/18, 18/17
| | | 20/19, 19/18, 18/17 |
| | style="text-align:center;" | 22/21, 28/27, 21/20
| | | 22/21, 28/27, 21/20 |
| | style="text-align:center;" | up-unison,<br />down-2nd
| | | up-unison,<br />down-2nd |
| | style="text-align:center;" | ^1, v2
| | | ^1, v2 |
| | style="text-align:center;" | ^D, vE
| | | ^D, vE |
| | style="text-align:center;" | Narrow Minor 2nd
| | | Narrow Minor 2nd |
| |- | | |- |
| | | 2
| | | 2 |
| | style="text-align:center;" | 171.429
| | | 171.429 |
| | style="text-align:center;" | 71
| | | 71 |
| | style="text-align:center;" | 11/10, 10/9,<br />19/17
| | | 11/10, 10/9,<br />19/17 |
| | style="text-align:center;" | 9/8, 10/9,<br />11/10, 12/11
| | | 9/8, 10/9,<br />11/10, 12/11 |
| | style="text-align:center;" | 2nd
| | | 2nd |
| | style="text-align:center;" | 2
| | | 2 |
| | style="text-align:center;" | E
| | | E |
| | style="text-align:center;" | Neutral 2nd, or<br />Narrow Major 2nd
| | | Neutral 2nd, or<br />Narrow Major 2nd |
| |- | | |- |
| | | 3· | | | ·3 |
| | style="text-align:center;" | 257.143
| | | 257.143 |
| | style="text-align:center;" | 37
| | | 37 |
| | style="text-align:center;" | 22/19, 20/17
| | | 22/19, 20/17 |
| | style="text-align:center;" | 7/6, 8/7
| | | 7/6, 8/7 |
| | style="text-align:center;" | up-2nd,<br />down-3rd
| | | up-2nd,<br />down-3rd |
| | style="text-align:center;" | ^2, v3
| | | ^2, v3 |
| | style="text-align:center;" | ^E, vF
| | | ^E, vF |
| | style="text-align:center;" | Subminor 3rd
| | | Subminor 3rd |
| |- | | |- |
| | | 4
| | | 4 |
| | style="text-align:center;" | 342.857
| | | 342.857 |
| | style="text-align:center;" | 39
| | | 39 |
| | style="text-align:center;" | 11/9, 17/14
| | | 11/9, 17/14 |
| | style="text-align:center;" | 11/9, 5/4, 6/5
| | | 11/9, 5/4, 6/5 |
| | style="text-align:center;" | 3rd
| | | 3rd |
| | style="text-align:center;" | 3
| | | 3 |
| | style="text-align:center;" | F
| | | F |
| | style="text-align:center;" | Neutral 3rd
| | | Neutral 3rd |
| |- | | |- |
| | | 5· | | | ·5 |
| | style="text-align:center;" | 428.571
| | | 428.571 |
| | style="text-align:center;" | 41
| | | 41 |
| | style="text-align:center;" | 9/7, 14/11,<br />22/17
| | | 9/7, 14/11,<br />22/17 |
| | style="text-align:center;" | 9/7, 14/11
| | | 9/7, 14/11 |
| | style="text-align:center;" | up-3rd,<br />down-4th
| | | up-3rd,<br />down-4th |
| | style="text-align:center;" | ^3, v4
| | | ^3, v4 |
| | style="text-align:center;" | ^F, vG
| | | ^F, vG |
| | style="text-align:center;" | Supermajor 3rd
| | | Supermajor 3rd |
| |- | | |- |
| | | 6
| | | 6 |
| | style="text-align:center;" | 51<span style="line-height: 1.5;">4.286</span>
| | | 51<span style="line-height: 1.5;">4.286</span> |
| | style="text-align:center;" | 43
| | | 43 |
| | style="text-align:center;" | 19/14
| | | 19/14 |
| | style="text-align:center;" | 4/3, 11/8
| | | 4/3, 11/8 |
| | style="text-align:center;" | 4th
| | | 4th |
| | style="text-align:center;" | 4
| | | 4 |
| | style="text-align:center;" | G
| | | G |
| | style="text-align:center;" | Wide 4th
| | | Wide 4th |
| |- | | |- |
| | | 7· | | | ·7 |
| | style="text-align:center;" | 600
| | | 600.000 |
| | style="text-align:center;" | 91
| | | 91 |
| | style="text-align:center;" | 7/5, 10/7
| | | 7/5, 10/7 |
| | style="text-align:center;" | 7/5, 10/7
| | | 7/5, 10/7 |
| | style="text-align:center;" | up-4th,<br />down-5th
| | | up-4th,<br />down-5th |
| | style="text-align:center;" | ^4, v5
| | | ^4, v5 |
| | style="text-align:center;" | ^G, vA
| | | ^G, vA |
| | style="text-align:center;" | Tritone
| | | Tritone |
| |- | | |- |
| | | 8
| | | 8 |
| | style="text-align:center;" | 685.714
| | | 685.714 |
| | style="text-align:center;" | 95
| | | 95 |
| | style="text-align:center;" | 28/19
| | | 28/19 |
| | style="text-align:center;" | 3/2, 16/11
| | | 3/2, 16/11 |
| | style="text-align:center;" | 5th
| | | 5th |
| | style="text-align:center;" | 5
| | | 5 |
| | style="text-align:center;" | A
| | | A |
| | style="text-align:center;" | Narrow 5th
| | | Narrow 5th |
| |- | | |- |
| | | 9· | | | ·9 |
| | style="text-align:center;" | 771.429
| | | 771.429 |
| | style="text-align:center;" | 25
| | | 25 |
| | style="text-align:center;" | 14/9, 11/7,<br />17/11
| | | 14/9, 11/7,<br />17/11 |
| | style="text-align:center;" |
| | | |
| | style="text-align:center;" | up-5th,<br />down-6th
| | | up-5th,<br />down-6th |
| | style="text-align:center;" | ^5, v6
| | | ^5, v6 |
| | style="text-align:center;" | ^A, vB
| | | ^A, vB |
| | style="text-align:center;" | Subminor 6th
| | | Subminor 6th |
| |- | | |- |
| | | 10
| | | 10 |
| | style="text-align:center;" | 857.143
| | | 857.143 |
| | style="text-align:center;" | 105
| | | 105 |
| | style="text-align:center;" | 18/11
| | | 18/11 |
| | style="text-align:center;" | 18/11, 8/5, 5/3
| | | 18/11, 8/5, 5/3 |
| | style="text-align:center;" | 6th
| | | 6th |
| | style="text-align:center;" | 6
| | | 6 |
| | style="text-align:center;" | B
| | | B |
| | style="text-align:center;" | Neutral 6th
| | | Neutral 6th |
| |- | | |- |
| | | 11· | | | ·11 |
| | style="text-align:center;" | 942.857
| | | 942.857 |
| | style="text-align:center;" | 55
| | | 55 |
| | style="text-align:center;" | 19/11, 17/10
| | | 19/11, 17/10 |
| | style="text-align:center;" | 12/7, 7/4
| | | 12/7, 7/4 |
| | style="text-align:center;" | up-6th,<br />down-7th
| | | up-6th,<br />down-7th |
| | style="text-align:center;" | ^6, v7
| | | ^6, v7 |
| | style="text-align:center;" | ^B, vC
| | | ^B, vC |
| | style="text-align:center;" | Supermajor 6th
| | | Supermajor 6th |
| |- | | |- |
| | | 12
| | | 12 |
| | style="text-align:center;" | 1028.571
| | | 1028.571 |
| | style="text-align:center;" | 29
| | | 29 |
| | style="text-align:center;" | 20/11, 9/5,<br />34/19
| | | 20/11, 9/5,<br />34/19 |
| | style="text-align:center;" | 16/9, 9/5,<br />20/11, 11/6
| | | 16/9, 9/5,<br />20/11, 11/6 |
| | style="text-align:center;" | 7th
| | | 7th |
| | style="text-align:center;" | 7
| | | 7 |
| | style="text-align:center;" | C
| | | C |
| | style="text-align:center;" | Neutral 7th, or<br />Wide Minor 7th
| | | Neutral 7th, or<br />Wide Minor 7th |
| |- | | |- |
| | | 13
| | | 13 |
| | style="text-align:center;" | 1114.286
| | | 1114.286 |
| | style="text-align:center;" | 61
| | | 61 |
| | style="text-align:center;" | 19/10, 36/19,<br />17/9
| | | 19/10, 36/19,<br />17/9 |
| | style="text-align:center;" | 21/11, 27/14, 40/21
| | | 21/11, 27/14, 40/21 |
| | style="text-align:center;" | up-7th,<br />down-8ve
| | | up-7th,<br />down-8ve |
| | style="text-align:center;" | ^7, v8
| | | ^7, v8 |
| | style="text-align:center;" | ^C, vD
| | | ^C, vD |
| | style="text-align:center;" | Wide Major 7th
| | | Wide Major 7th |
| |- | | |- |
| | | 14·· | | | ··14 |
| | style="text-align:center;" | 1200
| | | 1200 |
| | style="text-align:center;" | 2
| | | 2 |
| | style="text-align:center;" | 2/1 | | | colspan="2" | 2/1 |
| | style="text-align:center;" | 2/1
| | | 8ve |
| | style="text-align:center;" | 8ve
| | | 8 |
| | style="text-align:center;" | 8
| | | D |
| | style="text-align:center;" | D
| | | Octave |
| | style="text-align:center;" | Octave
| |
| |} | | |} |
| <ul><li>based on treating 14-EDO as a 2.7/5.9/5.11/5.17/5.19/5 [[subgroup|subgroup]]; other approaches are possible.</li></ul><span style="display: block; text-align: left;">** based on treating 14edo as an 11-limit temperament</span> | | |
| | <references/> |
|
| |
|
| [[Ivor_Darreg|Ivor Darreg]] wrote in [http://sonic-arts.org/darreg/dar15.htm this article]: | | [[Ivor_Darreg|Ivor Darreg]] wrote in [http://sonic-arts.org/darreg/dar15.htm this article]: |
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| {| class="wikitable" | | {| class="wikitable" |
| |- | | |- |
| | | [[File:Ciclo_Tetradecafonía.png|alt=Ciclo_Tetradecafonía.png|456x468px|Ciclo_Tetradecafonía.png]]
| | | [[File:Ciclo_Tetradecafonía.png|alt=Ciclo_Tetradecafonía.png|456x468px|Ciclo_Tetradecafonía.png]] |
| |- | | |- |
| | | Intervallic Cycle of 14 steps Equal per Octave
| | | Intervallic Cycle of 14 steps Equal per Octave |
| |} | | |} |
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