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| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <span style="display: block; text-align: right;">[[:de:19edo Deutsch]] - [[19平均律|日本語]]</span> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 19:03:00 UTC</tt>.<br>
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| : The original revision id was <tt>621461963</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="display: block; text-align: right;">[[xenharmonie/19edo|Deutsch]] - [[19平均律|日本語]]
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| </span>
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| =Theory=
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| In music, **19 equal temperament**, called 19-TET, 19-[[xenharmonic/EDO|EDO]], or 19-ET, is the scale derived by dividing the [[xenharmonic/octave|octave]] into 19 [[xenharmonic/equal|equal]]ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 [[xenharmonic/cent|cents]]. It is the 8th [[xenharmonic/prime numbers|prime]] edo, following [[xenharmonic/17edo|17edo]] and coming before [[xenharmonic/23edo|23edo]].
| | =Theory= |
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| Interest in this tuning system goes back to the sixteenth century, when composer Guillaume Costeley used it in his chanson [[Seigneur Dieu ta pitié]] of 1558. Costeley understood and desired the circulating aspect of this tuning; in 1577 music theorist Francisco de Salinas in effect proposed it. Salinas discussed [[xenharmonic/1-3 Syntonic Comma Meantone|1/3-comma meantone]], in which the fifth is of size 694.786 cents; the fifth of 19-et is 694.737, which is only a twentieth of a cent flatter. Salinas suggested tuning nineteen tones to the octave to this tuning, which fails to close by less than a cent, so that his suggestion is effectively 19-et. In the nineteenth century mathematician and music theorist Wesley Woolhouse proposed it as a more practical alternative to meantone tunings he regarded as better, such as [[xenharmonic/50edo|50 equal temperament]] ([[http://sonic-arts.org/monzo/woolhouse/essay.htm|summary of Woolhouse's essay]]).
| | In music, '''19 equal temperament''', called 19-TET, 19-[[EDO|EDO]], or 19-ET, is the scale derived by dividing the [[Octave|octave]] into 19 [[Equal|equal]]ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 [[cent|cents]]. It is the 8th [[prime_numbers|prime]] edo, following [[17edo|17edo]] and coming before [[23edo|23edo]]. |
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| ==As an approximation of other temperaments==
| | Interest in this tuning system goes back to the sixteenth century, when composer Guillaume Costeley used it in his chanson [[Seigneur_Dieu_ta_pitié|Seigneur Dieu ta pitié]] of 1558. Costeley understood and desired the circulating aspect of this tuning; in 1577 music theorist Francisco de Salinas in effect proposed it. Salinas discussed [[1-3_Syntonic_Comma_Meantone|1/3-comma meantone]], in which the fifth is of size 694.786 cents; the fifth of 19-et is 694.737, which is only a twentieth of a cent flatter. Salinas suggested tuning nineteen tones to the octave to this tuning, which fails to close by less than a cent, so that his suggestion is effectively 19-et. In the nineteenth century mathematician and music theorist Wesley Woolhouse proposed it as a more practical alternative to meantone tunings he regarded as better, such as [[50edo|50 equal temperament]] ([http://sonic-arts.org/monzo/woolhouse/essay.htm summary of Woolhouse's essay]). |
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| The most salient characteristic of 19-et is that, having an almost just minor third and perfect fifths and major thirds about seven cents narrow, it serves as a good tuning for [[xenharmonic/Meantone family|meantone]] temperament. It is also a suitable for [[xenharmonic/Regular Temperaments#magic|magic/muggles]] temperament, because five of its major thirds are equivalent to one of its //twelfths.// For both of these there are more optimal tunings: the fifth of 19-et is flatter than the usual for meantone, and a more accurate approximation is [[xenharmonic/31edo|31 equal temperament]]. Similarly, the generating interval of magic temperament is a major third, and again 19-et's is flatter; [[xenharmonic/41edo|41 equal temperament]] more closely matches it. It does make for a good tuning for muggles, which in 19et is the same as magic.
| | ==As an approximation of other temperaments== |
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| However, for all of these 19-et has the practical advantage of requiring fewer pitches, which makes physical realizations of it easier to build. (Many 19-et instruments have been built.) 19-et is in fact the second equal temperament, after 12-et which is able to deal with [[xenharmonic/Harmonic Limit|5-limit]] music in a tolerable manner, and is the fifth (after 12) [[xenharmonic/The Riemann Zeta Function and Tuning#Zeta%20EDO%20lists|zeta integral edo]]. It is less successful with [[xenharmonic/7-limit|7-limit]] (but still better than 12-et), as it eliminates the distinction between a septimal minor third ([[xenharmonic/7_6|7/6]]), and a septimal whole tone ([[xenharmonic/8_7|8/7]]). 19-EDO also has the advantage of being excellent for negri, keemun, godzilla, magic/muggles and triton/liese, and fairly decent for sensi. Keemun and Negri are of particular note for being very simple 7-limit temperaments, with their MOS scales in 19-EDO offering a great abundance of septimal tetrads. The [[xenharmonic/Graham complexity|Graham complexity]] of a 7-limit tetrad is 6 for keemun, 7 for negri, 8 for godzilla, 10 for meantone, 11 for triton, 12 for magic/muggles and 13 for sensi.
| | The most salient characteristic of 19-et is that, having an almost just minor third and perfect fifths and major thirds about seven cents narrow, it serves as a good tuning for [[Meantone_family|meantone]] temperament. It is also a suitable for [[Regular_Temperaments#magic|magic/muggles]] temperament, because five of its major thirds are equivalent to one of its ''twelfths.'' For both of these there are more optimal tunings: the fifth of 19-et is flatter than the usual for meantone, and a more accurate approximation is [[31edo|31 equal temperament]]. Similarly, the generating interval of magic temperament is a major third, and again 19-et's is flatter; [[41edo|41 equal temperament]] more closely matches it. It does make for a good tuning for muggles, which in 19et is the same as magic. |
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| Being a zeta integral tuning, the 13-limit is represented relatively well, and practically [[19edo|19-edo]] can be used //adaptively// on instruments which allow you to bend notes up: by different amounts, the 3rd, 5th, 7th and 13th harmonics are all tuned flat. The same cannot be said of 12edo, in which the 5th and 7th are - not only farther than they are in 19, but fairly sharp already.
| | However, for all of these 19-et has the practical advantage of requiring fewer pitches, which makes physical realizations of it easier to build. (Many 19-et instruments have been built.) 19-et is in fact the second equal temperament, after 12-et which is able to deal with [[Harmonic_Limit|5-limit]] music in a tolerable manner, and is the fifth (after 12) [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta integral edo]]. It is less successful with [[7-limit|7-limit]] (but still better than 12-et), as it eliminates the distinction between a septimal minor third ([[7/6|7/6]]), and a septimal whole tone ([[8/7|8/7]]). 19-EDO also has the advantage of being excellent for negri, keemun, godzilla, magic/muggles and triton/liese, and fairly decent for sensi. Keemun and Negri are of particular note for being very simple 7-limit temperaments, with their MOS scales in 19-EDO offering a great abundance of septimal tetrads. The [[Graham_complexity|Graham complexity]] of a 7-limit tetrad is 6 for keemun, 7 for negri, 8 for godzilla, 10 for meantone, 11 for triton, 12 for magic/muggles and 13 for sensi. |
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| Another option would be to use a stretched octave; the [[The Riemann Zeta Function and Tuning|zeta function]]-optimal tuning has an octave of roughly 1203 cents. Stringed instruments, in particular the piano, are frequently tuned with stretched octaves anyway due to the inharmonicity inherent in strings, which makes 19edo a promising option for them. Octave stretching also means that an out-of-tune interval can be replaced with a compounded or inverted version of it which is near-just. For instance, if we're using [[93ed30]] (a variant of 19edo in which 30:1 is just), then we have near-just minor thirds (6:5), compound major thirds (as 5:1), and compound fifths (as 6:1), giving us versions of everything in the 5-limit tonality diamond. The compound major and minor triads (1:5:6 and 30:6:5) are near-just as well.
| | Being a zeta integral tuning, the 13-limit is represented relatively well, and practically [[19edo|19-edo]] can be used ''adaptively'' on instruments which allow you to bend notes up: by different amounts, the 3rd, 5th, 7th and 13th harmonics are all tuned flat. The same cannot be said of 12edo, in which the 5th and 7th are - not only farther than they are in 19, but fairly sharp already. |
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| =As a means of extending harmony= | | Another option would be to use a stretched octave; the [[The_Riemann_Zeta_Function_and_Tuning|zeta function]]-optimal tuning has an octave of roughly 1203 cents. Stringed instruments, in particular the piano, are frequently tuned with stretched octaves anyway due to the inharmonicity inherent in strings, which makes 19edo a promising option for them. Octave stretching also means that an out-of-tune interval can be replaced with a compounded or inverted version of it which is near-just. For instance, if we're using [[93ed30|93ed30]] (a variant of 19edo in which 30:1 is just), then we have near-just minor thirds (6:5), compound major thirds (as 5:1), and compound fifths (as 6:1), giving us versions of everything in the 5-limit tonality diamond. The compound major and minor triads (1:5:6 and 30:6:5) are near-just as well. |
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| | =As a means of extending harmony= |
| Because 19 EDO allows for more blended, consonant harmonies than 12 EDO does, it can be a much better candidate for using alternate forms of harmony such as quartal, secundal, and poly chords. William Lynch suggests the use of seventh chords of various types to be the fundamental sonorities with a triad deemed as incomplete. Higher extensions involving the 7th harmonic as well as other non diatonic chord extensions which tend to clash in 12 EDO blend much better in 19 EDO. | | Because 19 EDO allows for more blended, consonant harmonies than 12 EDO does, it can be a much better candidate for using alternate forms of harmony such as quartal, secundal, and poly chords. William Lynch suggests the use of seventh chords of various types to be the fundamental sonorities with a triad deemed as incomplete. Higher extensions involving the 7th harmonic as well as other non diatonic chord extensions which tend to clash in 12 EDO blend much better in 19 EDO. |
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| In addition, Joseph Yasser talks about the idea of a 12 tone supra diatonic scale where the 7 tone major scale in 19 EDO becomes akin to the pentatonic of western music; as it would sound to a future generation, ambiguous and not tonally fortified. As paraphrased "A system in which the undeniable laws of tonal gravity exist, yet in a much more complex tonal universe. " Yasser believed that music would eventually move to a 19 tone system with a 12 note supra diatonic scale would become the standard. While this has yet to happen, Yasser's concept of supra-diatonicity is intriguing and worth exploring for those wanting to extend ton<span style="line-height: 15.6px;">l</span><span style="line-height: 1.5;">aity without sounding too alien.</span> | | In addition, Joseph Yasser talks about the idea of a 12 tone supra diatonic scale where the 7 tone major scale in 19 EDO becomes akin to the pentatonic of western music; as it would sound to a future generation, ambiguous and not tonally fortified. As paraphrased "A system in which the undeniable laws of tonal gravity exist, yet in a much more complex tonal universe. " Yasser believed that music would eventually move to a 19 tone system with a 12 note supra diatonic scale would become the standard. While this has yet to happen, Yasser's concept of supra-diatonicity is intriguing and worth exploring for those wanting to extend ton<span style="line-height: 15.6px;">l</span><span style="line-height: 1.5;">aity without sounding too alien.</span> |
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| The narrow whole tones and wide diatonic semitones of 19edo give the diatonic scale a somewhat duller quality, but has the opposite effect on the pentatonic scale, which becomes much more expressive owing to the larger contrast between the narrow whole tone and wide minor third. While 12edo has an expressive diatonic and dull pentatonic, the reverse is true in 19. Pentatonicism thus becomes more important in 19edo, and one option is to use the pentatonic scale as a sort of "super-chord", with "chord progressions" being modulations between pentatonic subsets of the superdiatonic scale. | | The narrow whole tones and wide diatonic semitones of 19edo give the diatonic scale a somewhat duller quality, but has the opposite effect on the pentatonic scale, which becomes much more expressive owing to the larger contrast between the narrow whole tone and wide minor third. While 12edo has an expressive diatonic and dull pentatonic, the reverse is true in 19. Pentatonicism thus becomes more important in 19edo, and one option is to use the pentatonic scale as a sort of "super-chord", with "chord progressions" being modulations between pentatonic subsets of the superdiatonic scale. |
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| | ==Intervals and linear temperaments== |
| | [[List_of_19et_rank_two_temperaments_by_badness|List of 19et rank two temperaments by badness]] |
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| ==Intervals and linear temperaments==
| | [[List_of_19et_rank_two_temperaments_by_complexity|List of 19et rank two temperaments by complexity]] |
| [[xenharmonic/List of 19et rank two temperaments by badness|List of 19et rank two temperaments by badness]] | | |
| [[List of 19et rank two temperaments by complexity]]
| | [[List_of_edo-distinct_19et_rank_two_temperaments|List of edo-distinct 19et rank two temperaments]] |
| [[List of edo-distinct 19et rank two temperaments]] | |
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| Since 19 is prime, all rank two temperaments in 19edo have one period per octave. Therefore you can make a correspondence between intervals and the linear temperaments they generate. | | Since 19 is prime, all rank two temperaments in 19edo have one period per octave. Therefore you can make a correspondence between intervals and the linear temperaments they generate. |
| ||~ Degrees of 19edo ||~ Solfege ||~ Diatonic Category ||~ Dodecatonic category ||~ Cents ||||~ Ratios* ||~ Generator for || | | |
| ||= 0 ||= do ||= P1 ||= P1 ||= 0 ||||= 1/1 ||= || | | {| class="wikitable" |
| ||= 1 ||= di ||= A1, d2 ||= A1, m2 ||= 63.1579 ||||= 25/24, 21/20, 28/27, 26/25, 27/26 ||= Unicorn/rhinocerus || | | |- |
| ||= 2 ||= ra ||= m2 ||= M2, m3 ||= 126.326 ||||= 15/14, 16/15, 13/12, 14/13 ||= [[xenharmonic/Negri|Negri]] || | | ! | Degrees of 19edo |
| ||= 3 ||= re ||= M2 ||= M3 ||= 189.474 ||||= 9/8, 10/9 ||= Deutone (2-meantone) / spell || | | ! | Solfege |
| ||= 4 ||= ri/ma ||= A2, d3 ||= m4, a3 ||= 252.632 ||||= 7/6, 8/7, 15/13 ||= [[xenharmonic/Godzilla|Godzilla]] || | | ! | Diatonic Category |
| ||= 5 ||= me ||= m3 ||= M4, m5 ||= 315.789 ||||= 6/5, 25/21 ||= [[xenharmonic/Kleismic|Kleismic]] ([[xenharmonic/hanson|hanson]], [[xenharmonic/keemun|keemun]], [[xenharmonic/catakleismic|catakleismic]]) || | | ! | Dodecatonic category |
| ||= 6 ||= mi ||= M3 ||= M5 ||= 378.947 ||||= 5/4, 16/13, 26/21 ||= [[xenharmonic/Magic|Magic]]/charisma/glamour || | | ! | Cents |
| ||= 7 ||= mo ||= A3, d4 ||= A5, d6 ||= 442.105 ||||= 32/25, 9/7, 13/10 ||= [[xenharmonic/Sensi|Sensi]] || | | ! colspan="2" | Ratios* |
| ||= 8 ||= fa ||= P4 ||= P6 ||= 505.263 ||||= 4/3 ||= [[xenharmonic/Meantone|Meantone]]/[[xenharmonic/flattone|flattone]]/[[xenharmonic/meanennedecal|meanenneadecal]]/[[xenharmonic/meanpop|meanpop]] || | | ! | Generator for |
| ||= 9 ||= fi ||= A4 ||= A6, m7 ||= 568.421 ||||= 25/18, 7/5, 18/13 ||= [[xenharmonic/Liese|Liese]]/[[xenharmonic/Triton|triton]]/lisa || | | |- |
| ||= 10 ||= se ||= d5 ||= M7, d8 ||= 631.579 ||||= 36/25, 10/7, 13/9 ||= Liese/triton/lisa || | | | style="text-align:center;" | 0 |
| ||= 11 ||= sol ||= P5 ||= P8 ||= 694.737 ||||= 3/2 ||= Meantone || | | | style="text-align:center;" | do |
| ||= 12 ||= lo ||= A5, d6 ||= A8, m9 ||= 757.895 ||||= 25/16, 14/9, <span style="line-height: 1.5;">20/13</span> ||= Sensi || | | | style="text-align:center;" | P1 |
| ||= 13 ||= le ||= m6 ||= M9, m10 ||= 821.053 ||||= 8/5, <span style="line-height: 1.5;">13/8, 21/13</span> ||= Magic || | | | style="text-align:center;" | P1 |
| ||= 14 ||= la ||= M6 ||= M10 ||= 884.210 ||||= 5/3, 42/25 ||= Kleismic (hanson, keemun, catakleismic) || | | | style="text-align:center;" | 0 |
| ||= 15 ||= li/ta ||= A6, d7 ||= m11, A10 ||= 947.368 ||||= 7/4, 12/7, 26/15 ||= Godzilla || | | | colspan="2" style="text-align:center;" | 1/1 |
| ||= 16 ||= te ||= m7 ||= M11, m12 ||= 1010.53 ||||= 9/5, 16/9 ||= Deutone / spell || | | | style="text-align:center;" | |
| ||= 17 ||= ti ||= M7 ||= M12 ||= 1073.68 ||||= 15/8, 13/7, <span style="line-height: 1.5;">28/15, 24/13</span> ||= Negri || | | |- |
| ||= 18 ||= da ||= A7, d8 ||= A12, d13 ||= 1136.84 ||||= <span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span> ||= Unicorn/rhinocerus || | | | style="text-align:center;" | 1 |
| ||= 19 ||= do ||= P8 ||= P13 ||= 1200 ||= 2/1 ||= ||= || | | | style="text-align:center;" | di |
| | | style="text-align:center;" | A1, d2 |
| | | style="text-align:center;" | A1, m2 |
| | | style="text-align:center;" | 63.1579 |
| | | colspan="2" style="text-align:center;" | 25/24, 21/20, 28/27, 26/25, 27/26 |
| | | style="text-align:center;" | Unicorn/rhinocerus |
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| | | style="text-align:center;" | 2 |
| | | style="text-align:center;" | ra |
| | | style="text-align:center;" | m2 |
| | | style="text-align:center;" | M2, m3 |
| | | style="text-align:center;" | 126.326 |
| | | colspan="2" style="text-align:center;" | 15/14, 16/15, 13/12, 14/13 |
| | | style="text-align:center;" | [[Negri|Negri]] |
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| | | style="text-align:center;" | 3 |
| | | style="text-align:center;" | re |
| | | style="text-align:center;" | M2 |
| | | style="text-align:center;" | M3 |
| | | style="text-align:center;" | 189.474 |
| | | colspan="2" style="text-align:center;" | 9/8, 10/9 |
| | | style="text-align:center;" | Deutone (2-meantone) / spell |
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| | | style="text-align:center;" | 4 |
| | | style="text-align:center;" | ri/ma |
| | | style="text-align:center;" | A2, d3 |
| | | style="text-align:center;" | m4, a3 |
| | | style="text-align:center;" | 252.632 |
| | | colspan="2" style="text-align:center;" | 7/6, 8/7, 15/13 |
| | | style="text-align:center;" | [[Godzilla|Godzilla]] |
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| | | style="text-align:center;" | 5 |
| | | style="text-align:center;" | me |
| | | style="text-align:center;" | m3 |
| | | style="text-align:center;" | M4, m5 |
| | | style="text-align:center;" | 315.789 |
| | | colspan="2" style="text-align:center;" | 6/5, 25/21 |
| | | style="text-align:center;" | [[kleismic|Kleismic]] ([[Hanson|hanson]], [[Keemun|keemun]], [[catakleismic|catakleismic]]) |
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| | | style="text-align:center;" | 6 |
| | | style="text-align:center;" | mi |
| | | style="text-align:center;" | M3 |
| | | style="text-align:center;" | M5 |
| | | style="text-align:center;" | 378.947 |
| | | colspan="2" style="text-align:center;" | 5/4, 16/13, 26/21 |
| | | style="text-align:center;" | [[Magic|Magic]]/charisma/glamour |
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| | | style="text-align:center;" | 7 |
| | | style="text-align:center;" | mo |
| | | style="text-align:center;" | A3, d4 |
| | | style="text-align:center;" | A5, d6 |
| | | style="text-align:center;" | 442.105 |
| | | colspan="2" style="text-align:center;" | 32/25, 9/7, 13/10 |
| | | style="text-align:center;" | [[Sensi|Sensi]] |
| | |- |
| | | style="text-align:center;" | 8 |
| | | style="text-align:center;" | fa |
| | | style="text-align:center;" | P4 |
| | | style="text-align:center;" | P6 |
| | | style="text-align:center;" | 505.263 |
| | | colspan="2" style="text-align:center;" | 4/3 |
| | | style="text-align:center;" | [[Meantone|Meantone]]/[[Flattone|flattone]]/[[meanennedecal|meanenneadecal]]/[[Meanpop|meanpop]] |
| | |- |
| | | style="text-align:center;" | 9 |
| | | style="text-align:center;" | fi |
| | | style="text-align:center;" | A4 |
| | | style="text-align:center;" | A6, m7 |
| | | style="text-align:center;" | 568.421 |
| | | colspan="2" style="text-align:center;" | 25/18, 7/5, 18/13 |
| | | style="text-align:center;" | [[Liese|Liese]]/[[Triton|triton]]/lisa |
| | |- |
| | | style="text-align:center;" | 10 |
| | | style="text-align:center;" | se |
| | | style="text-align:center;" | d5 |
| | | style="text-align:center;" | M7, d8 |
| | | style="text-align:center;" | 631.579 |
| | | colspan="2" style="text-align:center;" | 36/25, 10/7, 13/9 |
| | | style="text-align:center;" | Liese/triton/lisa |
| | |- |
| | | style="text-align:center;" | 11 |
| | | style="text-align:center;" | sol |
| | | style="text-align:center;" | P5 |
| | | style="text-align:center;" | P8 |
| | | style="text-align:center;" | 694.737 |
| | | colspan="2" style="text-align:center;" | 3/2 |
| | | style="text-align:center;" | Meantone |
| | |- |
| | | style="text-align:center;" | 12 |
| | | style="text-align:center;" | lo |
| | | style="text-align:center;" | A5, d6 |
| | | style="text-align:center;" | A8, m9 |
| | | style="text-align:center;" | 757.895 |
| | | colspan="2" style="text-align:center;" | 25/16, 14/9, <span style="line-height: 1.5;">20/13</span> |
| | | style="text-align:center;" | Sensi |
| | |- |
| | | style="text-align:center;" | 13 |
| | | style="text-align:center;" | le |
| | | style="text-align:center;" | m6 |
| | | style="text-align:center;" | M9, m10 |
| | | style="text-align:center;" | 821.053 |
| | | colspan="2" style="text-align:center;" | 8/5, <span style="line-height: 1.5;">13/8, 21/13</span> |
| | | style="text-align:center;" | Magic |
| | |- |
| | | style="text-align:center;" | 14 |
| | | style="text-align:center;" | la |
| | | style="text-align:center;" | M6 |
| | | style="text-align:center;" | M10 |
| | | style="text-align:center;" | 884.210 |
| | | colspan="2" style="text-align:center;" | 5/3, 42/25 |
| | | style="text-align:center;" | Kleismic (hanson, keemun, catakleismic) |
| | |- |
| | | style="text-align:center;" | 15 |
| | | style="text-align:center;" | li/ta |
| | | style="text-align:center;" | A6, d7 |
| | | style="text-align:center;" | m11, A10 |
| | | style="text-align:center;" | 947.368 |
| | | colspan="2" style="text-align:center;" | 7/4, 12/7, 26/15 |
| | | style="text-align:center;" | Godzilla |
| | |- |
| | | style="text-align:center;" | 16 |
| | | style="text-align:center;" | te |
| | | style="text-align:center;" | m7 |
| | | style="text-align:center;" | M11, m12 |
| | | style="text-align:center;" | 1010.53 |
| | | colspan="2" style="text-align:center;" | 9/5, 16/9 |
| | | style="text-align:center;" | Deutone / spell |
| | |- |
| | | style="text-align:center;" | 17 |
| | | style="text-align:center;" | ti |
| | | style="text-align:center;" | M7 |
| | | style="text-align:center;" | M12 |
| | | style="text-align:center;" | 1073.68 |
| | | colspan="2" style="text-align:center;" | 15/8, 13/7, <span style="line-height: 1.5;">28/15, 24/13</span> |
| | | style="text-align:center;" | Negri |
| | |- |
| | | style="text-align:center;" | 18 |
| | | style="text-align:center;" | da |
| | | style="text-align:center;" | A7, d8 |
| | | style="text-align:center;" | A12, d13 |
| | | style="text-align:center;" | 1136.84 |
| | | colspan="2" style="text-align:center;" | <span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span> |
| | | style="text-align:center;" | Unicorn/rhinocerus |
| | |- |
| | | style="text-align:center;" | 19 |
| | | style="text-align:center;" | do |
| | | style="text-align:center;" | P8 |
| | | style="text-align:center;" | P13 |
| | | style="text-align:center;" | 1200 |
| | | style="text-align:center;" | 2/1 |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |} |
| *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. | | *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible. |
|
| |
|
| Using [[Kite's color notation|color notation]], qualities can be loosely associated with colors: | | Using [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors: |
| ||~ quality ||~ color ||~ monzo format ||~ examples ||
| |
| ||= diminished ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 ||
| |
| ||= minor ||= fourthward white ||= {a, b}, b < -1 ||= 32/27, 16/9 ||
| |
| ||= " ||= green ||= {a, b, -1} ||= 6/5, 9/5 ||
| |
| ||= major ||= yellow ||= {a, b, 1} ||= 5/4, 5/3 ||
| |
| ||= " ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 ||
| |
| ||= augmented ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 ||
| |
|
| |
|
| =Chord Names= | | {| class="wikitable" |
| | |- |
| | ! | quality |
| | ! | color |
| | ! | monzo format |
| | ! | examples |
| | |- |
| | | style="text-align:center;" | diminished |
| | | style="text-align:center;" | blue |
| | | style="text-align:center;" | {a, b, 0, 1} |
| | | style="text-align:center;" | 7/6, 7/4 |
| | |- |
| | | style="text-align:center;" | minor |
| | | style="text-align:center;" | fourthward white |
| | | style="text-align:center;" | {a, b}, b < -1 |
| | | style="text-align:center;" | 32/27, 16/9 |
| | |- |
| | | style="text-align:center;" | " |
| | | style="text-align:center;" | green |
| | | style="text-align:center;" | {a, b, -1} |
| | | style="text-align:center;" | 6/5, 9/5 |
| | |- |
| | | style="text-align:center;" | major |
| | | style="text-align:center;" | yellow |
| | | style="text-align:center;" | {a, b, 1} |
| | | style="text-align:center;" | 5/4, 5/3 |
| | |- |
| | | style="text-align:center;" | " |
| | | style="text-align:center;" | fifthward white |
| | | style="text-align:center;" | {a, b}, b > 1 |
| | | style="text-align:center;" | 9/8, 27/16 |
| | |- |
| | | style="text-align:center;" | augmented |
| | | style="text-align:center;" | red |
| | | style="text-align:center;" | {a, b, 0, -1} |
| | | style="text-align:center;" | 9/7, 12/7 |
| | |} |
| | |
| | =Chord Names= |
|
| |
|
| All 19edo chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. Here are the blue, green, yellow and red triads: | | All 19edo chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. Here are the blue, green, yellow and red triads: |
| ||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name || | | |
| ||= blue ||= 6:7:9 ||= 0-4-11 ||= C Ebb G ||= C(b3) or C(d3) ||= C flat-three or C dim-three || | | {| class="wikitable" |
| ||= green ||= 10:12:15 ||= 0-5-11 ||= C Eb G ||= Cm ||= C minor || | | |- |
| ||= yellow ||= 4:5:6 ||= 0-6-11 ||= C E G ||= C ||= C major or C || | | ! | color of the 3rd |
| ||= red ||= 14:18:27 ||= 0-7-11 ||= C E# G ||= C(#3) or C(A3) ||= C sharp-three or C aug-three || | | ! | JI chord |
| | ! | notes as edosteps |
| | ! | notes of C chord |
| | ! | written name |
| | ! | spoken name |
| | |- |
| | | style="text-align:center;" | blue |
| | | style="text-align:center;" | 6:7:9 |
| | | style="text-align:center;" | 0-4-11 |
| | | style="text-align:center;" | C Ebb G |
| | | style="text-align:center;" | C(b3) or C(d3) |
| | | style="text-align:center;" | C flat-three or C dim-three |
| | |- |
| | | style="text-align:center;" | green |
| | | style="text-align:center;" | 10:12:15 |
| | | style="text-align:center;" | 0-5-11 |
| | | style="text-align:center;" | C Eb G |
| | | style="text-align:center;" | Cm |
| | | style="text-align:center;" | C minor |
| | |- |
| | | style="text-align:center;" | yellow |
| | | style="text-align:center;" | 4:5:6 |
| | | style="text-align:center;" | 0-6-11 |
| | | style="text-align:center;" | C E G |
| | | style="text-align:center;" | C |
| | | style="text-align:center;" | C major or C |
| | |- |
| | | style="text-align:center;" | red |
| | | style="text-align:center;" | 14:18:27 |
| | | style="text-align:center;" | 0-7-11 |
| | | style="text-align:center;" | C E# G |
| | | style="text-align:center;" | C(#3) or C(A3) |
| | | style="text-align:center;" | C sharp-three or C aug-three |
| | |} |
|
| |
|
| 0-6-11-15 = C E G Bbb = C,bb7 or C,d7 = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7 | | 0-6-11-15 = C E G Bbb = C,bb7 or C,d7 = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7 |
| | |
| 0-5-11-15 = C Eb G A# is Cm,#6 or Cm,A6 = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7 | | 0-5-11-15 = C Eb G A# is Cm,#6 or Cm,A6 = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7 |
|
| |
|
| The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios. | | The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios. |
|
| |
|
| For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]]. | | For a more complete list, see [[Ups_and_Downs_Notation#Chord names in other EDOs|Ups and Downs Notation - Chord names in other EDOs]]. |
|
| |
|
| ==Selected just intervals by error== | | ==Selected just intervals by error== |
| The following table shows how [[Just-24|some prominent just intervals]] are represented within 19edo (ordered by absolute error). | | The following table shows how [[Just-24|some prominent just intervals]] are represented within 19edo (ordered by absolute error). |
| || **Interval, complement** || **Error (abs., in [[cent|cents]])** ||
| |
| ||= [[6_5|6/5]], [[5_3|5/3]] ||= 0.148 ||
| |
| ||= [[14_13|14/13]], [[13_7|13/7]] ||= 1.982 ||
| |
| ||= [[15_13|15/13]], [[26_15|26/15]] ||= 4.891 ||
| |
| ||= [[18_13|18/13]], [[13_9|13/9]] ||= 5.039 ||
| |
| ||= [[15_14|15/14]], [[28_15|28/15]] ||= 6.873 ||
| |
| ||= [[9_7|9/7]], [[14_9|14/9]] ||= 7.021 ||
| |
| ||= [[10_9|10/9]], [[9_5|9/5]] ||= 7.070 ||
| |
| ||= [[4_3|4/3]], [[3_2|3/2]] ||= 7.218 ||
| |
| ||= [[5_4|5/4]], [[8_5|8/5]] ||= 7.366 ||
| |
| ||= [[13_10|13/10]], [[20_13|20/13]] ||= 12.109 ||
| |
| ||= [[13_12|13/12]], [[24_13|24/13]] ||= 12.257 ||
| |
| ||= [[7_5|7/5]], [[10_7|10/7]] ||= 14.091 ||
| |
| ||= [[7_6|7/6]], [[12_7|12/7]] ||= 14.239 ||
| |
| ||= [[9_8|9/8]], [[16_9|16/9]] ||= 14.436 ||
| |
| ||= [[16_15|16/15]], [[15_8|15/8]] ||= 14.585 ||
| |
| ||= [[11_8|11/8]], [[16_11|16/11]] ||= 17.103 ||
| |
| ||= [[16_13|16/13]], [[13_8|13/8]] ||= 19.475 ||
| |
| ||= [[8_7|8/7]], [[7_4|7/4]] ||= 21.457 ||
| |
| ||= [[12_11|12/11]], [[11_6|11/6]] ||= 24.321 ||
| |
| ||= [[11_10|11/10]], [[20_11|20/11]] ||= 24.469 ||
| |
| ||= [[14_11|14/11]], [[11_7|11/7]] ||= 24.597 ||
| |
| ||= [[13_11|13/11]], [[22_13|22/13]] ||= 26.580 ||
| |
| ||= [[15_11|15/11]], [[22_15|22/15]] ||= 31.470 ||
| |
| ||= [[11_9|11/9]], [[18_11|18/11]] ||= 31.539 ||
| |
|
| |
|
| [[media type="custom" key="24906428"]] | | {| class="wikitable" |
| [[file:19ed2-001.svg]] | | |- |
| | | | '''Interval, complement''' |
| | | | '''Error (abs., in [[cent|cents]])''' |
| | |- |
| | | style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] |
| | | style="text-align:center;" | 0.148 |
| | |- |
| | | style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] |
| | | style="text-align:center;" | 1.982 |
| | |- |
| | | style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] |
| | | style="text-align:center;" | 4.891 |
| | |- |
| | | style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] |
| | | style="text-align:center;" | 5.039 |
| | |- |
| | | style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] |
| | | style="text-align:center;" | 6.873 |
| | |- |
| | | style="text-align:center;" | [[9/7|9/7]], [[14/9|14/9]] |
| | | style="text-align:center;" | 7.021 |
| | |- |
| | | style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] |
| | | style="text-align:center;" | 7.070 |
| | |- |
| | | style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] |
| | | style="text-align:center;" | 7.218 |
| | |- |
| | | style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] |
| | | style="text-align:center;" | 7.366 |
| | |- |
| | | style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] |
| | | style="text-align:center;" | 12.109 |
| | |- |
| | | style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] |
| | | style="text-align:center;" | 12.257 |
| | |- |
| | | style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] |
| | | style="text-align:center;" | 14.091 |
| | |- |
| | | style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] |
| | | style="text-align:center;" | 14.239 |
| | |- |
| | | style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] |
| | | style="text-align:center;" | 14.436 |
| | |- |
| | | style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] |
| | | style="text-align:center;" | 14.585 |
| | |- |
| | | style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] |
| | | style="text-align:center;" | 17.103 |
| | |- |
| | | style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] |
| | | style="text-align:center;" | 19.475 |
| | |- |
| | | style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] |
| | | style="text-align:center;" | 21.457 |
| | |- |
| | | style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] |
| | | style="text-align:center;" | 24.321 |
| | |- |
| | | style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] |
| | | style="text-align:center;" | 24.469 |
| | |- |
| | | style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] |
| | | style="text-align:center;" | 24.597 |
| | |- |
| | | style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] |
| | | style="text-align:center;" | 26.580 |
| | |- |
| | | style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] |
| | | style="text-align:center;" | 31.470 |
| | |- |
| | | style="text-align:center;" | [[11/9|11/9]], [[18/11|18/11]] |
| | | style="text-align:center;" | 31.539 |
| | |} |
| | |
| | [[File:19ed2-001.svg|alt=alt : Your browser has no SVG support.]] |
| | |
| | [[:File:19ed2-001.svg|19ed2-001.svg]] |
|
| |
|
| ==Commas== | | ==Commas== |
| 19 EDO [[xenharmonic/tempering out|tempers out]] the following [[xenharmonic/comma|comma]]s. (Note: This assumes the [[xenharmonic/val|val]] < 19 30 44 53 66 70 |.) | | 19 EDO [[tempering_out|tempers out]] the following [[Comma|comma]]s. (Note: This assumes the [[val|val]] < 19 30 44 53 66 70 |.) |
| ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name(s) ||
| |
| ||= 16875/16384 ||< | -14 3 4 > ||> 51.12 ||= Negri Comma, <span style="line-height: 1.5;">Double Augmentation Diesis</span> ||
| |
| ||= 3125/3072 ||< | -10 -1 5 > ||> 29.61 ||= Small Diesis, <span style="line-height: 1.5;">Magic Comma</span> ||
| |
| ||= [[xenharmonic/81_80|81/80]] ||< | -4 4 -1 > ||> 21.51 ||= [[xenharmonic/Syntonic Comma|Syntonic Comma]], <span style="line-height: 1.5;">Didymos Comma, Meantone Comma</span> ||
| |
| ||= 78732/78125 ||< | 2 9 -7 > ||> 13.40 ||= Medium Semicomma, <span style="line-height: 1.5;">Sensipent Comma</span> ||
| |
| ||= 15625/15552 ||< | -6 -5 6 > ||> 8.11 ||= Kleisma, <span style="line-height: 1.5;">Semicomma Majeur</span> ||
| |
| ||= ||< | 8 14 -13 > ||> 5.29 ||= Parakleisma ||
| |
| ||= ||< | -14 -19 19 > ||> 2.82 ||= Enneadeca, <span style="line-height: 1.5;">19-Tone-Comma</span> ||
| |
| ||= 1029/1000 ||< | -3 1 -3 3 > ||> 49.49 ||= Keega ||
| |
| ||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicenna, <span style="line-height: 1.5;">Avicenna's Enharmonic Diesis</span> ||
| |
| ||= [[xenharmonic/49_48|49/48]] ||< | -4 -1 0 2 > ||> 35.70 ||= Slendro Diesis ||
| |
| ||= 686/675 ||< | 1 -3 -2 3 > ||> 27.99 ||= Senga ||
| |
| ||= 875/864 ||< | -5 -3 3 1 > ||> 21.90 ||= Keema ||
| |
| ||= [[xenharmonic/245_243|245/243]] ||< | 0 -5 1 2 > ||> 14.19 ||= Sensamagic ||
| |
| ||= [[xenharmonic/126_125|126/125]] ||< | 1 2 -3 1 > ||> 13.79 ||= Septimal Semicomma, <span style="line-height: 1.5;">Starling Comma</span> ||
| |
| ||= [[xenharmonic/225_224|225/224]] ||< | -5 2 2 -1 > ||> 7.71 ||= Septimal Kleisma, <span style="line-height: 1.5;">Marvel Comma</span> ||
| |
| ||= 19683/19600 ||< | -4 9 -2 -2 > ||> 7.32 ||= Cataharry ||
| |
| ||= 10976/10935 ||< | 5 -7 -1 3 > ||> 6.48 ||= Hemimage ||
| |
| ||= 3136/3125 ||< | 6 0 -5 2 > ||> 6.08 ||= Hemimean ||
| |
| ||= ||< | -11 2 7 -3 > ||> 1.63 ||= Meter ||
| |
| ||= 4375/4374 ||< | -1 -7 4 1 > ||> 0.40 ||= Ragisma ||
| |
| ||= [[xenharmonic/100_99|100/99]] ||< | 2 -2 2 0 -1 > ||> 17.40 ||= Ptolemisma ||
| |
| ||= 896/891 ||< | 7 -4 0 1 -1 > ||> 9.69 ||= Pentacircle ||
| |
| ||= 65536/65219 ||< | 16 0 0 -2 -3 > ||> 8.39 ||= Orgonisma ||
| |
| ||= [[385_384|385/384]] ||< | -7 -1 1 1 1 > ||> 4.50 ||= Keenanisma ||
| |
| ||= 540/539 ||< | 2 3 1 -2 -1 > ||> 3.21 ||= Swetisma ||
| |
| ||= [[xenharmonic/91_90|91/90]] ||< | -1 -2 -1 1 0 1 > ||> 19.13 ||= Superleap ||
| |
| ||= 676/675 ||< | 2 -3 -2 0 0 2 > ||> 2.56 ||= Parizeksma ||
| |
|
| |
|
| | {| class="wikitable" |
| | |- |
| | ! | Comma |
| | ! | Monzo |
| | ! | Value (Cents) |
| | ! | Name(s) |
| | |- |
| | | style="text-align:center;" | 16875/16384 |
| | | | | -14 3 4 > |
| | | style="text-align:right;" | 51.12 |
| | | style="text-align:center;" | Negri Comma, <span style="line-height: 1.5;">Double Augmentation Diesis</span> |
| | |- |
| | | style="text-align:center;" | 3125/3072 |
| | | | | -10 -1 5 > |
| | | style="text-align:right;" | 29.61 |
| | | style="text-align:center;" | Small Diesis, <span style="line-height: 1.5;">Magic Comma</span> |
| | |- |
| | | style="text-align:center;" | [[81/80|81/80]] |
| | | | | -4 4 -1 > |
| | | style="text-align:right;" | 21.51 |
| | | style="text-align:center;" | [[Syntonic_Comma|Syntonic Comma]], <span style="line-height: 1.5;">Didymos Comma, Meantone Comma</span> |
| | |- |
| | | style="text-align:center;" | 78732/78125 |
| | | | | 2 9 -7 > |
| | | style="text-align:right;" | 13.40 |
| | | style="text-align:center;" | Medium Semicomma, <span style="line-height: 1.5;">Sensipent Comma</span> |
| | |- |
| | | style="text-align:center;" | 15625/15552 |
| | | | | -6 -5 6 > |
| | | style="text-align:right;" | 8.11 |
| | | style="text-align:center;" | Kleisma, <span style="line-height: 1.5;">Semicomma Majeur</span> |
| | |- |
| | | style="text-align:center;" | |
| | | | | 8 14 -13 > |
| | | style="text-align:right;" | 5.29 |
| | | style="text-align:center;" | Parakleisma |
| | |- |
| | | style="text-align:center;" | |
| | | | | -14 -19 19 > |
| | | style="text-align:right;" | 2.82 |
| | | style="text-align:center;" | Enneadeca, <span style="line-height: 1.5;">19-Tone-Comma</span> |
| | |- |
| | | style="text-align:center;" | 1029/1000 |
| | | | | -3 1 -3 3 > |
| | | style="text-align:right;" | 49.49 |
| | | style="text-align:center;" | Keega |
| | |- |
| | | style="text-align:center;" | 525/512 |
| | | | | -9 1 2 1 > |
| | | style="text-align:right;" | 43.41 |
| | | style="text-align:center;" | Avicenna, <span style="line-height: 1.5;">Avicenna's Enharmonic Diesis</span> |
| | |- |
| | | style="text-align:center;" | [[49/48|49/48]] |
| | | | | -4 -1 0 2 > |
| | | style="text-align:right;" | 35.70 |
| | | style="text-align:center;" | Slendro Diesis |
| | |- |
| | | style="text-align:center;" | 686/675 |
| | | | | 1 -3 -2 3 > |
| | | style="text-align:right;" | 27.99 |
| | | style="text-align:center;" | Senga |
| | |- |
| | | style="text-align:center;" | 875/864 |
| | | | | -5 -3 3 1 > |
| | | style="text-align:right;" | 21.90 |
| | | style="text-align:center;" | Keema |
| | |- |
| | | style="text-align:center;" | [[245/243|245/243]] |
| | | | | 0 -5 1 2 > |
| | | style="text-align:right;" | 14.19 |
| | | style="text-align:center;" | Sensamagic |
| | |- |
| | | style="text-align:center;" | [[126/125|126/125]] |
| | | | | 1 2 -3 1 > |
| | | style="text-align:right;" | 13.79 |
| | | style="text-align:center;" | Septimal Semicomma, <span style="line-height: 1.5;">Starling Comma</span> |
| | |- |
| | | style="text-align:center;" | [[225/224|225/224]] |
| | | | | -5 2 2 -1 > |
| | | style="text-align:right;" | 7.71 |
| | | style="text-align:center;" | Septimal Kleisma, <span style="line-height: 1.5;">Marvel Comma</span> |
| | |- |
| | | style="text-align:center;" | 19683/19600 |
| | | | | -4 9 -2 -2 > |
| | | style="text-align:right;" | 7.32 |
| | | style="text-align:center;" | Cataharry |
| | |- |
| | | style="text-align:center;" | 10976/10935 |
| | | | | 5 -7 -1 3 > |
| | | style="text-align:right;" | 6.48 |
| | | style="text-align:center;" | Hemimage |
| | |- |
| | | style="text-align:center;" | 3136/3125 |
| | | | | 6 0 -5 2 > |
| | | style="text-align:right;" | 6.08 |
| | | style="text-align:center;" | Hemimean |
| | |- |
| | | style="text-align:center;" | |
| | | | | -11 2 7 -3 > |
| | | style="text-align:right;" | 1.63 |
| | | style="text-align:center;" | Meter |
| | |- |
| | | style="text-align:center;" | 4375/4374 |
| | | | | -1 -7 4 1 > |
| | | style="text-align:right;" | 0.40 |
| | | style="text-align:center;" | Ragisma |
| | |- |
| | | style="text-align:center;" | [[100/99|100/99]] |
| | | | | 2 -2 2 0 -1 > |
| | | style="text-align:right;" | 17.40 |
| | | style="text-align:center;" | Ptolemisma |
| | |- |
| | | style="text-align:center;" | 896/891 |
| | | | | 7 -4 0 1 -1 > |
| | | style="text-align:right;" | 9.69 |
| | | style="text-align:center;" | Pentacircle |
| | |- |
| | | style="text-align:center;" | 65536/65219 |
| | | | | 16 0 0 -2 -3 > |
| | | style="text-align:right;" | 8.39 |
| | | style="text-align:center;" | Orgonisma |
| | |- |
| | | style="text-align:center;" | [[385/384|385/384]] |
| | | | | -7 -1 1 1 1 > |
| | | style="text-align:right;" | 4.50 |
| | | style="text-align:center;" | Keenanisma |
| | |- |
| | | style="text-align:center;" | 540/539 |
| | | | | 2 3 1 -2 -1 > |
| | | style="text-align:right;" | 3.21 |
| | | style="text-align:center;" | Swetisma |
| | |- |
| | | style="text-align:center;" | [[91/90|91/90]] |
| | | | | -1 -2 -1 1 0 1 > |
| | | style="text-align:right;" | 19.13 |
| | | style="text-align:center;" | Superleap |
| | |- |
| | | style="text-align:center;" | 676/675 |
| | | | | 2 -3 -2 0 0 2 > |
| | | style="text-align:right;" | 2.56 |
| | | style="text-align:center;" | Parizeksma |
| | |} |
|
| |
|
| ==See also== | | ==See also== |
| * [[19edo Modes]]
| | <ul><li>[[19edo_Modes|19edo Modes]]</li><li>[[Strictly_proper_19edo_scales|Strictly prope]][[Strictly_proper_19edo_scales|r 19edo scales]]</li><li>[[How_to_tune_a_19edo_guitar_by_ear|How to tune a 19edo guitar by ear]]</li><li>[[Chord_progressions_in_19edo-family_scales|Chord progressions in 19edo-family scales]]</li></ul> |
| * [[Strictly proper 19edo scales|Strictly prope]][[Strictly proper 19edo scales|r 19edo scales]]
| |
| * [[How to tune a 19edo guitar by ear]]
| |
| * [[Chord progressions in 19edo-family scales]]
| |
|
| |
|
| | ==Articles== |
| | <ul><li>[http://sonic-arts.org/darreg/case.htm A Case For Nineteen] by [[Ivor_Darreg|Ivor Darreg]] [http://www.webcitation.org/5xZzBtDGF Permalink]</li><li>[http://www.microstick.net/nineteenarticle.htm Nineteen for the Nineties] by Ivor Darreg</li><li>[http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html 19-Tone Theory and Applications] by Hubert S. Howe Jr. [http://www.webcitation.org/5xbMKVaqa Permalink]</li><li>[http://sethares.engr.wisc.edu/tet19/guitarchords19.html Tunings for 19 Tone Equal Tempered Guitar] by William A. Sethares [http://www.webcitation.org/5xeCbEPZ0 Permalink]</li><li>[http://www.n-ism.org/Projects/microtonalism.php Microtonalism] by Bailey, Morrison, Pearson and Parncutt [http://www.webcitation.org/5xeDFQDvn Permalink]</li><li>[http://tonalsoft.com/enc/number/19edo.aspx 19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory] [http://tonalsoft.com/enc/number/19edo.aspx Permalink]</li><li>[http://mtg.redkeylabs.com/index.php?topic=6.0 Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar].</li><li>[http://www.ronsword.com/books.html Enneadecaphonic Scales for Guitar] by [[Ron_Sword|Ron Sword]]</li></ul> |
|
| |
|
| ==Articles== | | ==References== |
| * [[http://sonic-arts.org/darreg/case.htm|A Case For Nineteen]] by [[xenharmonic/Ivor Darreg|Ivor Darreg]] [[http://www.webcitation.org/5xZzBtDGF|Permalink]]
| | <ul><li>Bucht, Saku and Huovinen, Erkki, ''Perceived consonance of harmonic intervals in 19-tone equal temperament'', CIM04_proceedings.</li><li>Levy, Kenneth J., ''Costeley's Chromatic Chanson'', Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul> |
| * [[http://www.microstick.net/nineteenarticle.htm|Nineteen for the Nineties]] by Ivor Darreg
| | = = |
| * [[http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html|19-Tone Theory and Applications]] by Hubert S. Howe Jr. [[http://www.webcitation.org/5xbMKVaqa|Permalink]]
| |
| * [[http://sethares.engr.wisc.edu/tet19/guitarchords19.html|Tunings for 19 Tone Equal Tempered Guitar]] by William A. Sethares [[http://www.webcitation.org/5xeCbEPZ0|Permalink]]
| |
| * [[http://www.n-ism.org/Projects/microtonalism.php|Microtonalism]] by Bailey, Morrison, Pearson and Parncutt [[http://www.webcitation.org/5xeDFQDvn|Permalink]]
| |
| * [[http://tonalsoft.com/enc/number/19edo.aspx|19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory]] [[http://tonalsoft.com/enc/number/19edo.aspx|Permalink]]
| |
| * [[http://mtg.redkeylabs.com/index.php?topic=6.0|Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar]].
| |
| * [[http://www.ronsword.com/books.html|Enneadecaphonic Scales for Guitar]] by [[xenharmonic/Ron Sword|Ron Sword]]
| |
|
| |
|
| ==References==
| | ==Photos== |
| * Bucht, Saku and Huovinen, Erkki, //Perceived consonance of harmonic intervals in 19-tone equal temperament//, CIM04_proceedings.
| |
| * Levy, Kenneth J., //Costeley's Chromatic Chanson//, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.
| |
| = =
| |
| ==Photos== | |
| 19 note per octave Ibanez conversion by Brad Smith (Indianapolis) | | 19 note per octave Ibanez conversion by Brad Smith (Indianapolis) |
| [[image:http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg width="560" height="420"]]
| |
|
| |
|
| ---- | | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> |
| =Compositions[[media type="custom" key="23473446"]]= | | External image: http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg<br> |
| **[[http://micro.soonlabel.com/19-ET/|XA 19-ET Index]]**
| | : <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br> |
| | : <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small> |
| | </div> |
| | [[Category:IMPORTDEBUG - Change External Images]] |
| | |
| | ----- |
| | |
| | =Compositions= |
| | '''[http://micro.soonlabel.com/19-ET/ XA 19-ET Index]''' |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[https://soundcloud.com/aaron-krister-johnson/the-juggler The Juggler]</span></span></span></span> </span>by [[Aaron_Krister_Johnson|Aaron Krister Johnson]] |
| | |
| | [http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=1008195 Foum] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Foum.mp3 play]</span></span></span></span></span> by [[Jacob_Barton|Jacob Barton]] |
| | |
| | [http://music.columbia.edu/%7Echris/sand.html Sand] by [[Christopher_Bailey|Christopher Bailey]] |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://works.music.columbia.edu/%7Echris/19mix1.mp3 Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me]</span></span></span></span> </span>by Christopher Bailey |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3 Ditty]</span></span></span></span> </span>by Christopher Bailey |
| | |
| | ''[http://micro.soonlabel.com/gene_ward_smith/misc/Guillaume%20Costeley%20-%20Seigneur%20Dieu%20ta%20piti%e9.mp3 Seigneur Dieu ta pitié]'' by Guillaume Costeley |
| | |
| | ''[http://micro.soonlabel.com/0-hosted-albums/ivor/02%20Prelude%202%20for%2019%20tone%20guitar.mp3 Prelude 2 for 19 tone guitar]'' by [[Ivor_Darreg|Ivor Darreg]] |
| | |
| | [http://sethares.engr.wisc.edu/mp3s/sympathetic.html Sympathetic Metaphor] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/SympatheticMetaphor.mp3 play]</span></span></span></span></span> by [[William_Sethares|William Sethares]] [http://www.webcitation.org/5zFdC6u4V Permalink] |
| | |
| | [http://sethares.engr.wisc.edu/mp3s/truthonabus.html Truth on a bus] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Truth_on_a_Bus.mp3 play]</span></span></span></span></span> by William Sethares [http://www.webcitation.org/5zFdSw1g4 Permalink] |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">[http://www.h-pi.com/mp3/Rondo19ET.mp3 Rondo in 19ET]</span></span></span></span> </span>by [[Aaron_Andrew_Hunt|Aaron Andrew Hunt]] |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Starrett/CitifiedNotions19tet.mp3 Citified Notions]''</span></span></span></span></span> and |
| | |
| | ''[http://archive.org/download/LimpOffToSchool/LimpOffToSchool19tet.mp3 Limp Off to School]'' by [[John_Starrett|John Starrett]]. |
| | |
| | <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/betelgeuse.mp3 The Light Of My Betelgeuse]''</span></span></span></span></span> by [[Mykhaylo_Khramov|Mykhaylo Khramov]] |
| | |
| | ''[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/01.Undines.mp3 Undines]'', ''[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/02.Sylphs.mp3 Sylphs]'', ''[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/03.Gnomes.mp3 Gnomes]'', and ''[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/04.Salamanders.mp3 Salamanders]'' by Jon Lyle Smith |
| | |
| | [http://archive.org/details/AnotherAireForLute Another Aire For Lute] by Jon Lyle Smith |
| | |
| | A number of compositions that were perfomed at the [http://midwestmicrofest.org/concerts.html midwestmicrofest concert in 2007] |
|
| |
|
| <span class="ymp-btn-page-play ymp-media-3e72a120cc21a6d967e20c2712353cac"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[https://soundcloud.com/aaron-krister-johnson/the-juggler|The Juggler]]</span></span></span></span> </span>by [[xenharmonic/Aaron Krister Johnson|Aaron Krister Johnson]]
| |
| [[http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&songID=1008195|Foum]] <span class="ymp-btn-page-play ymp-media-2b0116564acb823413278e931e9bca8e"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Foum.mp3|play]]</span></span></span></span></span> by [[xenharmonic/Jacob Barton|Jacob Barton]]
| |
| [[http://music.columbia.edu/%7Echris/sand.html|Sand]] by [[xenharmonic/Christopher Bailey|Christopher Bailey]]
| |
| <span class="ymp-btn-page-play ymp-media-1ec26b280d7788ac0e790719d577a218"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://works.music.columbia.edu/%7Echris/19mix1.mp3|Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me]]</span></span></span></span> </span>by Christopher Bailey
| |
| <span class="ymp-btn-page-play ymp-media-cd7d3a983dce091a8096cb87d6862820"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3|Ditty]]</span></span></span></span> </span>by Christopher Bailey
| |
| //[[http://micro.soonlabel.com/gene_ward_smith/misc/Guillaume%20Costeley%20-%20Seigneur%20Dieu%20ta%20piti%e9.mp3|Seigneur Dieu ta pitié]]// by Guillaume Costeley
| |
| //[[http://micro.soonlabel.com/0-hosted-albums/ivor/02%20Prelude%202%20for%2019%20tone%20guitar.mp3|Prelude 2 for 19 tone guitar]]// by [[Ivor Darreg]]
| |
| [[http://sethares.engr.wisc.edu/mp3s/sympathetic.html|Sympathetic Metaphor]] <span class="ymp-btn-page-play ymp-media-e4e0069ea45121cc80c2ce578a945837"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/SympatheticMetaphor.mp3|play]]</span></span></span></span></span> by [[xenharmonic/William Sethares|William Sethares]] [[http://www.webcitation.org/5zFdC6u4V|Permalink]]
| |
| [[http://sethares.engr.wisc.edu/mp3s/truthonabus.html|Truth on a bus]] <span class="ymp-btn-page-play ymp-media-526d4e563c03aca7835db55159692c7d"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Truth_on_a_Bus.mp3|play]]</span></span></span></span></span> by William Sethares [[http://www.webcitation.org/5zFdSw1g4|Permalink]]
| |
| <span class="ymp-btn-page-play ymp-media-d26b8b4b4beee2371ad7b7c7cc71a9da"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://www.h-pi.com/mp3/Rondo19ET.mp3|Rondo in 19ET]]</span></span></span></span> </span>by [[xenharmonic/Aaron Andrew Hunt|Aaron Andrew Hunt]]
| |
| <span class="ymp-btn-page-play ymp-media-c1ba958b4d29ea779eb3e6e1cb5779c7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Starrett/CitifiedNotions19tet.mp3|Citified Notions]]//</span></span></span></span></span> and
| |
| //[[http://archive.org/download/LimpOffToSchool/LimpOffToSchool19tet.mp3|Limp Off to School]]// by [[xenharmonic/John Starrett|John Starrett]].
| |
| <span class="ymp-btn-page-play ymp-media-e5a2a3d148bc1b07acdba10ca90219c7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/betelgeuse.mp3|The Light Of My Betelgeuse]]//</span></span></span></span></span> by [[xenharmonic/Mykhaylo Khramov|Mykhaylo Khramov]]
| |
| //[[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/01.Undines.mp3|Undines]]//, //[[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/02.Sylphs.mp3|Sylphs]]//, //[[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/03.Gnomes.mp3|Gnomes]]//, and //[[http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/04.Salamanders.mp3|Salamanders]]// by Jon Lyle Smith
| |
| [[http://archive.org/details/AnotherAireForLute|Another Aire For Lute]] by Jon Lyle Smith
| |
| A number of compositions that were perfomed at the [[http://midwestmicrofest.org/concerts.html|midwestmicrofest concert in 2007]]
| |
| Fanfare in 19-note Equal Tuning by Easley Blackwood | | Fanfare in 19-note Equal Tuning by Easley Blackwood |
| [[http://www.uvnitr.cz/flaoyg/flao_yg/zvire.mp3|Zvíře]] by [[http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html|Milan Guštar]]
| |
| [[http://www.ziaspace.com/ZIA/sections/music.html|19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.]]
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/14%20-%2014.%2019%20octave.mp3|Comets Over Flatland 14]]//</span></span></span></span> by [[xenharmonic/Randy Winchester|Randy Winchester]]
| |
| [[@http://chrisvaisvil.com/?p=865|Forgetting Even Her Beauty blog]] <span class="ymp-btn-page-play ymp-media-7cdb4644c05849d85c1a04ed2a07a5a7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/19-ET/daily20110516-19-forgetting_even_her_beauty.mp3|play Forgetting Even Her Beauty]]//</span></span></span></span> </span>by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| |
| [[@http://chrisvaisvil.com/?p=855|19 Black Hawks for Osama blog]] <span class="ymp-media-3badeb9b3b5a5768a5e43cea7e10b377 ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=gGO0R381HQs|play video for 19 Black Hawks for Osama]]// </span></span></span></span> </span>by Chris Vaisvil
| |
| [[@http://chrisvaisvil.com/?p=823|Summer Song blog]] <span class="ymp-media-44691c8e07e030770b33e146e0d88212 ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/19-ET/daily20110501-19-summer_song_mix3.mp3|play Summer Song]]//</span></span></span></span> </span>by Trevor (The TwoRegs) and Norm Harris and Chris Vaisvil
| |
| [[@http://chrisvaisvil.com/?p=820|19 ImprovFridays blog]] <span class="ymp-btn-page-play ymp-media-c6d81d29a5290997eac85574c62b39e3"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link">//[[http://www.youtube.com/watch?v=-KaRXFoYwT4|play video of performance of 19 ImprovFridays]]// </span></span></span></span> </span>by Chris Vaisvil
| |
| [[@http://chrisvaisvil.com/?p=800|The World has Changed blog]] <span class="ymp-media-d1cc76332b281044aecd4287b683de9d ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/19-ET/daily20110429-19edo-the_world_has_changed3.mp3|play The World has Changed]]//</span></span></span></span> </span>by Chris Vaisvil
| |
| [[http://chrisvaisvil.com/?p=883|jjj]] <span class="ymp-btn-page-play ymp-media-35bea9630e48d0842ee9259bac028257"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/19-ET/daily20110523-19take2.mp3|play]]//</span></span></span></span></span> by Chris Vaisvil
| |
| [[http://soundcloud.com/omega9/chip-chamber|Now listen! Pitch!]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Now%20listen%21%20Pitch%21.mp3|play]] by Omega9
| |
| [[https://www.youtube.com/watch?v=mlvme3ukPLE|Cordas (19-edo version)]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas.mp3|play]] by Omega9
| |
| //[[http://www.youtube.com/watch?v=DSOGF4gDYu8|A Piece in 19edo]]// by Omega9
| |
| [[http://soundcloud.com/omega9/a-piece-in-19edo-version-3|A Piece in 19edo (ver.3)]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20A%20Piece%20in%2019edo.mp3|play]] by Omega9
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-A-Prelude.mp3|Bach’s Prelude number 24 from Well Tempered Clavier, Book II]]//</span></span></span>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-B-Fugue.mp3|Bach’s Fugue number 24 from Well Tempered Clavier, Book II]]//</span></span></span>
| |
| rendered by Claudi Meneghin
| |
| //[[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/_Movi_Nove__by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3|Movi-Nove]]// by [[https://soundcloud.com/lois-lancaster/movi-nove|Roncevaux (Löis Lancaster)]]
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| [[https://soundcloud.com/rewarrp/psychedelic-delt|Psychedelic Delt]] by Rewarrp
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| [[https://soundcloud.com/camtaylor-1/17-out-of-19edo-bright-objects|Bright Objects]] - 17-tone fifths chain in 19EDO by Cam Taylor
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| [[https://soundcloud.com/cam-taylor-2-1/17-out-of-19edo-wurly-minor-thirds-minor-sevens|Minor Thirds, Minor Sevens]] - 17-tone fifths chain in 19EDO by Cam Taylor
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| [[https://soundcloud.com/camtaylor-1/wurly-minors-and-enharmonic-tetrachords-17-out-of-19edo|Wurly Minors and Enharmonic Tetrachords]] - 17-tone fifths chain in 19EDO by Cam Taylor</pre></div>
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| <h4>Original HTML content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>19edo</title></head><body><span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/19edo">Deutsch</a> - <a class="wiki_link" href="/19%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a><br />
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| </span><br />
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| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Theory"></a><!-- ws:end:WikiTextHeadingRule:2 -->Theory</h1>
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| <br />
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| In music, <strong>19 equal temperament</strong>, called 19-TET, 19-<a class="wiki_link" href="http://xenharmonic.wikispaces.com/EDO">EDO</a>, or 19-ET, is the scale derived by dividing the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/octave">octave</a> into 19 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/equal">equal</a>ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cent">cents</a>. It is the 8th <a class="wiki_link" href="http://xenharmonic.wikispaces.com/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17edo</a> and coming before <a class="wiki_link" href="http://xenharmonic.wikispaces.com/23edo">23edo</a>.<br />
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| <br />
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| Interest in this tuning system goes back to the sixteenth century, when composer Guillaume Costeley used it in his chanson <a class="wiki_link" href="/Seigneur%20Dieu%20ta%20piti%C3%A9">Seigneur Dieu ta pitié</a> of 1558. Costeley understood and desired the circulating aspect of this tuning; in 1577 music theorist Francisco de Salinas in effect proposed it. Salinas discussed <a class="wiki_link" href="http://xenharmonic.wikispaces.com/1-3%20Syntonic%20Comma%20Meantone">1/3-comma meantone</a>, in which the fifth is of size 694.786 cents; the fifth of 19-et is 694.737, which is only a twentieth of a cent flatter. Salinas suggested tuning nineteen tones to the octave to this tuning, which fails to close by less than a cent, so that his suggestion is effectively 19-et. In the nineteenth century mathematician and music theorist Wesley Woolhouse proposed it as a more practical alternative to meantone tunings he regarded as better, such as <a class="wiki_link" href="http://xenharmonic.wikispaces.com/50edo">50 equal temperament</a> (<a class="wiki_link_ext" href="http://sonic-arts.org/monzo/woolhouse/essay.htm" rel="nofollow">summary of Woolhouse's essay</a>).<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="Theory-As an approximation of other temperaments"></a><!-- ws:end:WikiTextHeadingRule:4 -->As an approximation of other temperaments</h2>
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| <br />
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| The most salient characteristic of 19-et is that, having an almost just minor third and perfect fifths and major thirds about seven cents narrow, it serves as a good tuning for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a> temperament. It is also a suitable for <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Regular%20Temperaments#magic">magic/muggles</a> temperament, because five of its major thirds are equivalent to one of its <em>twelfths.</em> For both of these there are more optimal tunings: the fifth of 19-et is flatter than the usual for meantone, and a more accurate approximation is <a class="wiki_link" href="http://xenharmonic.wikispaces.com/31edo">31 equal temperament</a>. Similarly, the generating interval of magic temperament is a major third, and again 19-et's is flatter; <a class="wiki_link" href="http://xenharmonic.wikispaces.com/41edo">41 equal temperament</a> more closely matches it. It does make for a good tuning for muggles, which in 19et is the same as magic.<br />
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| <br />
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| However, for all of these 19-et has the practical advantage of requiring fewer pitches, which makes physical realizations of it easier to build. (Many 19-et instruments have been built.) 19-et is in fact the second equal temperament, after 12-et which is able to deal with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Harmonic%20Limit">5-limit</a> music in a tolerable manner, and is the fifth (after 12) <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta%20EDO%20lists">zeta integral edo</a>. It is less successful with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7-limit">7-limit</a> (but still better than 12-et), as it eliminates the distinction between a septimal minor third (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_6">7/6</a>), and a septimal whole tone (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/8_7">8/7</a>). 19-EDO also has the advantage of being excellent for negri, keemun, godzilla, magic/muggles and triton/liese, and fairly decent for sensi. Keemun and Negri are of particular note for being very simple 7-limit temperaments, with their MOS scales in 19-EDO offering a great abundance of septimal tetrads. The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Graham%20complexity">Graham complexity</a> of a 7-limit tetrad is 6 for keemun, 7 for negri, 8 for godzilla, 10 for meantone, 11 for triton, 12 for magic/muggles and 13 for sensi.<br />
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| <br />
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| Being a zeta integral tuning, the 13-limit is represented relatively well, and practically <a class="wiki_link" href="/19edo">19-edo</a> can be used <em>adaptively</em> on instruments which allow you to bend notes up: by different amounts, the 3rd, 5th, 7th and 13th harmonics are all tuned flat. The same cannot be said of 12edo, in which the 5th and 7th are - not only farther than they are in 19, but fairly sharp already.<br />
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| <br />
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| Another option would be to use a stretched octave; the <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning">zeta function</a>-optimal tuning has an octave of roughly 1203 cents. Stringed instruments, in particular the piano, are frequently tuned with stretched octaves anyway due to the inharmonicity inherent in strings, which makes 19edo a promising option for them. Octave stretching also means that an out-of-tune interval can be replaced with a compounded or inverted version of it which is near-just. For instance, if we're using <a class="wiki_link" href="/93ed30">93ed30</a> (a variant of 19edo in which 30:1 is just), then we have near-just minor thirds (6:5), compound major thirds (as 5:1), and compound fifths (as 6:1), giving us versions of everything in the 5-limit tonality diamond. The compound major and minor triads (1:5:6 and 30:6:5) are near-just as well.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc2"><a name="As a means of extending harmony"></a><!-- ws:end:WikiTextHeadingRule:6 -->As a means of extending harmony</h1>
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| Because 19 EDO allows for more blended, consonant harmonies than 12 EDO does, it can be a much better candidate for using alternate forms of harmony such as quartal, secundal, and poly chords. William Lynch suggests the use of seventh chords of various types to be the fundamental sonorities with a triad deemed as incomplete. Higher extensions involving the 7th harmonic as well as other non diatonic chord extensions which tend to clash in 12 EDO blend much better in 19 EDO.<br />
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| <br />
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| In addition, Joseph Yasser talks about the idea of a 12 tone supra diatonic scale where the 7 tone major scale in 19 EDO becomes akin to the pentatonic of western music; as it would sound to a future generation, ambiguous and not tonally fortified. As paraphrased &quot;A system in which the undeniable laws of tonal gravity exist, yet in a much more complex tonal universe. &quot; Yasser believed that music would eventually move to a 19 tone system with a 12 note supra diatonic scale would become the standard. While this has yet to happen, Yasser's concept of supra-diatonicity is intriguing and worth exploring for those wanting to extend ton<span style="line-height: 15.6px;">l</span><span style="line-height: 1.5;">aity without sounding too alien.</span><br />
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| <br />
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| The narrow whole tones and wide diatonic semitones of 19edo give the diatonic scale a somewhat duller quality, but has the opposite effect on the pentatonic scale, which becomes much more expressive owing to the larger contrast between the narrow whole tone and wide minor third. While 12edo has an expressive diatonic and dull pentatonic, the reverse is true in 19. Pentatonicism thus becomes more important in 19edo, and one option is to use the pentatonic scale as a sort of &quot;super-chord&quot;, with &quot;chord progressions&quot; being modulations between pentatonic subsets of the superdiatonic scale.<br />
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| <br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc3"><a name="As a means of extending harmony-Intervals and linear temperaments"></a><!-- ws:end:WikiTextHeadingRule:8 -->Intervals and linear temperaments</h2>
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/List%20of%2019et%20rank%20two%20temperaments%20by%20badness">List of 19et rank two temperaments by badness</a><br />
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| <a class="wiki_link" href="/List%20of%2019et%20rank%20two%20temperaments%20by%20complexity">List of 19et rank two temperaments by complexity</a><br />
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| <a class="wiki_link" href="/List%20of%20edo-distinct%2019et%20rank%20two%20temperaments">List of edo-distinct 19et rank two temperaments</a><br />
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| <br />
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| Since 19 is prime, all rank two temperaments in 19edo have one period per octave. Therefore you can make a correspondence between intervals and the linear temperaments they generate.<br />
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|
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|
| | [http://www.uvnitr.cz/flaoyg/flao_yg/zvire.mp3 Zvíře] by [http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html Milan Guštar] |
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| | [http://www.ziaspace.com/ZIA/sections/music.html 19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.] |
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| | <span style=""><span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/14%20-%2014.%2019%20octave.mp3 Comets Over Flatland 14]''</span></span></span></span> by [[Randy_Winchester|Randy Winchester]] |
| | |
| | [http://chrisvaisvil.com/?p=865 Forgetting Even Her Beauty blog] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/19-ET/daily20110516-19-forgetting_even_her_beauty.mp3 play Forgetting Even Her Beauty]''</span></span></span></span> </span>by [[Chris_Vaisvil|Chris Vaisvil]] |
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| | [http://chrisvaisvil.com/?p=855 19 Black Hawks for Osama blog] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://www.youtube.com/watch?v=gGO0R381HQs play video for 19 Black Hawks for Osama]'' </span></span></span></span> </span>by Chris Vaisvil |
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| | [http://chrisvaisvil.com/?p=823 Summer Song blog] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/19-ET/daily20110501-19-summer_song_mix3.mp3 play Summer Song]''</span></span></span></span> </span>by Trevor (The TwoRegs) and Norm Harris and Chris Vaisvil |
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| | [http://chrisvaisvil.com/?p=820 19 ImprovFridays blog] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://www.youtube.com/watch?v=-KaRXFoYwT4 play video of performance of 19 ImprovFridays]'' </span></span></span></span> </span>by Chris Vaisvil |
|
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|
| <table class="wiki_table">
| | [http://chrisvaisvil.com/?p=800 The World has Changed blog] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/19-ET/daily20110429-19edo-the_world_has_changed3.mp3 play The World has Changed]''</span></span></span></span> </span>by Chris Vaisvil |
| <tr>
| |
| <th>Degrees of 19edo<br />
| |
| </th>
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| <th>Solfege<br />
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| </th>
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| <th>Diatonic Category<br />
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| </th>
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| <th>Dodecatonic category<br />
| |
| </th>
| |
| <th>Cents<br />
| |
| </th>
| |
| <th colspan="2">Ratios*<br />
| |
| </th>
| |
| <th>Generator for<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">0<br />
| |
| </td>
| |
| <td style="text-align: center;">do<br />
| |
| </td>
| |
| <td style="text-align: center;">P1<br />
| |
| </td>
| |
| <td style="text-align: center;">P1<br />
| |
| </td>
| |
| <td style="text-align: center;">0<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">1/1<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">1<br />
| |
| </td>
| |
| <td style="text-align: center;">di<br />
| |
| </td>
| |
| <td style="text-align: center;">A1, d2<br />
| |
| </td>
| |
| <td style="text-align: center;">A1, m2<br />
| |
| </td>
| |
| <td style="text-align: center;">63.1579<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">25/24, 21/20, 28/27, 26/25, 27/26<br />
| |
| </td>
| |
| <td style="text-align: center;">Unicorn/rhinocerus<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">2<br />
| |
| </td>
| |
| <td style="text-align: center;">ra<br />
| |
| </td>
| |
| <td style="text-align: center;">m2<br />
| |
| </td>
| |
| <td style="text-align: center;">M2, m3<br />
| |
| </td>
| |
| <td style="text-align: center;">126.326<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">15/14, 16/15, 13/12, 14/13<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Negri">Negri</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3<br />
| |
| </td>
| |
| <td style="text-align: center;">re<br />
| |
| </td>
| |
| <td style="text-align: center;">M2<br />
| |
| </td>
| |
| <td style="text-align: center;">M3<br />
| |
| </td>
| |
| <td style="text-align: center;">189.474<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">9/8, 10/9<br />
| |
| </td>
| |
| <td style="text-align: center;">Deutone (2-meantone) / spell<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4<br />
| |
| </td>
| |
| <td style="text-align: center;">ri/ma<br />
| |
| </td>
| |
| <td style="text-align: center;">A2, d3<br />
| |
| </td>
| |
| <td style="text-align: center;">m4, a3<br />
| |
| </td>
| |
| <td style="text-align: center;">252.632<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">7/6, 8/7, 15/13<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Godzilla">Godzilla</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">5<br />
| |
| </td>
| |
| <td style="text-align: center;">me<br />
| |
| </td>
| |
| <td style="text-align: center;">m3<br />
| |
| </td>
| |
| <td style="text-align: center;">M4, m5<br />
| |
| </td>
| |
| <td style="text-align: center;">315.789<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">6/5, 25/21<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic">Kleismic</a> (<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hanson">hanson</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/keemun">keemun</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/catakleismic">catakleismic</a>)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">6<br />
| |
| </td>
| |
| <td style="text-align: center;">mi<br />
| |
| </td>
| |
| <td style="text-align: center;">M3<br />
| |
| </td>
| |
| <td style="text-align: center;">M5<br />
| |
| </td>
| |
| <td style="text-align: center;">378.947<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">5/4, 16/13, 26/21<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Magic">Magic</a>/charisma/glamour<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">7<br />
| |
| </td>
| |
| <td style="text-align: center;">mo<br />
| |
| </td>
| |
| <td style="text-align: center;">A3, d4<br />
| |
| </td>
| |
| <td style="text-align: center;">A5, d6<br />
| |
| </td>
| |
| <td style="text-align: center;">442.105<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">32/25, 9/7, 13/10<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Sensi">Sensi</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">8<br />
| |
| </td>
| |
| <td style="text-align: center;">fa<br />
| |
| </td>
| |
| <td style="text-align: center;">P4<br />
| |
| </td>
| |
| <td style="text-align: center;">P6<br />
| |
| </td>
| |
| <td style="text-align: center;">505.263<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">4/3<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone">Meantone</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/flattone">flattone</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meanennedecal">meanenneadecal</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/meanpop">meanpop</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">9<br />
| |
| </td>
| |
| <td style="text-align: center;">fi<br />
| |
| </td>
| |
| <td style="text-align: center;">A4<br />
| |
| </td>
| |
| <td style="text-align: center;">A6, m7<br />
| |
| </td>
| |
| <td style="text-align: center;">568.421<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">25/18, 7/5, 18/13<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Liese">Liese</a>/<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Triton">triton</a>/lisa<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">10<br />
| |
| </td>
| |
| <td style="text-align: center;">se<br />
| |
| </td>
| |
| <td style="text-align: center;">d5<br />
| |
| </td>
| |
| <td style="text-align: center;">M7, d8<br />
| |
| </td>
| |
| <td style="text-align: center;">631.579<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">36/25, 10/7, 13/9<br />
| |
| </td>
| |
| <td style="text-align: center;">Liese/triton/lisa<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">11<br />
| |
| </td>
| |
| <td style="text-align: center;">sol<br />
| |
| </td>
| |
| <td style="text-align: center;">P5<br />
| |
| </td>
| |
| <td style="text-align: center;">P8<br />
| |
| </td>
| |
| <td style="text-align: center;">694.737<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">3/2<br />
| |
| </td>
| |
| <td style="text-align: center;">Meantone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">12<br />
| |
| </td>
| |
| <td style="text-align: center;">lo<br />
| |
| </td>
| |
| <td style="text-align: center;">A5, d6<br />
| |
| </td>
| |
| <td style="text-align: center;">A8, m9<br />
| |
| </td>
| |
| <td style="text-align: center;">757.895<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">25/16, 14/9, <span style="line-height: 1.5;">20/13</span><br />
| |
| </td>
| |
| <td style="text-align: center;">Sensi<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">13<br />
| |
| </td>
| |
| <td style="text-align: center;">le<br />
| |
| </td>
| |
| <td style="text-align: center;">m6<br />
| |
| </td>
| |
| <td style="text-align: center;">M9, m10<br />
| |
| </td>
| |
| <td style="text-align: center;">821.053<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">8/5, <span style="line-height: 1.5;">13/8, 21/13</span><br />
| |
| </td>
| |
| <td style="text-align: center;">Magic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">14<br />
| |
| </td>
| |
| <td style="text-align: center;">la<br />
| |
| </td>
| |
| <td style="text-align: center;">M6<br />
| |
| </td>
| |
| <td style="text-align: center;">M10<br />
| |
| </td>
| |
| <td style="text-align: center;">884.210<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">5/3, 42/25<br />
| |
| </td>
| |
| <td style="text-align: center;">Kleismic (hanson, keemun, catakleismic)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15<br />
| |
| </td>
| |
| <td style="text-align: center;">li/ta<br />
| |
| </td>
| |
| <td style="text-align: center;">A6, d7<br />
| |
| </td>
| |
| <td style="text-align: center;">m11, A10<br />
| |
| </td>
| |
| <td style="text-align: center;">947.368<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">7/4, 12/7, 26/15<br />
| |
| </td>
| |
| <td style="text-align: center;">Godzilla<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">16<br />
| |
| </td>
| |
| <td style="text-align: center;">te<br />
| |
| </td>
| |
| <td style="text-align: center;">m7<br />
| |
| </td>
| |
| <td style="text-align: center;">M11, m12<br />
| |
| </td>
| |
| <td style="text-align: center;">1010.53<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">9/5, 16/9<br />
| |
| </td>
| |
| <td style="text-align: center;">Deutone / spell<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">17<br />
| |
| </td>
| |
| <td style="text-align: center;">ti<br />
| |
| </td>
| |
| <td style="text-align: center;">M7<br />
| |
| </td>
| |
| <td style="text-align: center;">M12<br />
| |
| </td>
| |
| <td style="text-align: center;">1073.68<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;">15/8, 13/7, <span style="line-height: 1.5;">28/15, 24/13</span><br />
| |
| </td>
| |
| <td style="text-align: center;">Negri<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">18<br />
| |
| </td>
| |
| <td style="text-align: center;">da<br />
| |
| </td>
| |
| <td style="text-align: center;">A7, d8<br />
| |
| </td>
| |
| <td style="text-align: center;">A12, d13<br />
| |
| </td>
| |
| <td style="text-align: center;">1136.84<br />
| |
| </td>
| |
| <td colspan="2" style="text-align: center;"><span style="line-height: 1.5;">48/25, </span>40/21, 27/14, <span style="line-height: 1.5;">25/13, 52/27</span><br />
| |
| </td>
| |
| <td style="text-align: center;">Unicorn/rhinocerus<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">19<br />
| |
| </td>
| |
| <td style="text-align: center;">do<br />
| |
| </td>
| |
| <td style="text-align: center;">P8<br />
| |
| </td>
| |
| <td style="text-align: center;">P13<br />
| |
| </td>
| |
| <td style="text-align: center;">1200<br />
| |
| </td>
| |
| <td style="text-align: center;">2/1<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| *based on treating 19-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.<br />
| | [http://chrisvaisvil.com/?p=883 jjj] <span style=""><span style=""><span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/19-ET/daily20110523-19take2.mp3 play]''</span></span></span></span></span> by Chris Vaisvil |
| <br />
| |
| Using <a class="wiki_link" href="/Kite%27s%20color%20notation">color notation</a>, qualities can be loosely associated with colors:<br />
| |
|
| |
|
| | [http://soundcloud.com/omega9/chip-chamber Now listen! Pitch!] [http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Now%20listen%21%20Pitch%21.mp3 play] by Omega9 |
|
| |
|
| <table class="wiki_table">
| | [https://www.youtube.com/watch?v=mlvme3ukPLE Cordas (19-edo version)] [http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas.mp3 play] by Omega9 |
| <tr>
| |
| <th>quality<br />
| |
| </th>
| |
| <th>color<br />
| |
| </th>
| |
| <th>monzo format<br />
| |
| </th>
| |
| <th>examples<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">diminished<br />
| |
| </td>
| |
| <td style="text-align: center;">blue<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, 0, 1}<br />
| |
| </td>
| |
| <td style="text-align: center;">7/6, 7/4<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">minor<br />
| |
| </td>
| |
| <td style="text-align: center;">fourthward white<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b}, b &lt; -1<br />
| |
| </td>
| |
| <td style="text-align: center;">32/27, 16/9<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">&quot;<br />
| |
| </td>
| |
| <td style="text-align: center;">green<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, -1}<br />
| |
| </td>
| |
| <td style="text-align: center;">6/5, 9/5<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">major<br />
| |
| </td>
| |
| <td style="text-align: center;">yellow<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, 1}<br />
| |
| </td>
| |
| <td style="text-align: center;">5/4, 5/3<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">&quot;<br />
| |
| </td>
| |
| <td style="text-align: center;">fifthward white<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b}, b &gt; 1<br />
| |
| </td>
| |
| <td style="text-align: center;">9/8, 27/16<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">augmented<br />
| |
| </td>
| |
| <td style="text-align: center;">red<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, 0, -1}<br />
| |
| </td>
| |
| <td style="text-align: center;">9/7, 12/7<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | ''[http://www.youtube.com/watch?v=DSOGF4gDYu8 A Piece in 19edo]'' by Omega9 |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc4"><a name="Chord Names"></a><!-- ws:end:WikiTextHeadingRule:10 -->Chord Names</h1>
| |
| <br />
| |
| All 19edo chords can be named using conventional methods, expanded to include augmented and diminished 2nd, 3rds, 6ths and 7ths. Here are the blue, green, yellow and red triads:<br />
| |
|
| |
|
| | [http://soundcloud.com/omega9/a-piece-in-19edo-version-3 A Piece in 19edo (ver.3)] [http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20A%20Piece%20in%2019edo.mp3 play] by Omega9 |
|
| |
|
| <table class="wiki_table">
| | <span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-A-Prelude.mp3 Bach’s Prelude number 24 from Well Tempered Clavier, Book II]''</span></span></span> |
| <tr>
| |
| <th>color of the 3rd<br />
| |
| </th>
| |
| <th>JI chord<br />
| |
| </th>
| |
| <th>notes as edosteps<br />
| |
| </th>
| |
| <th>notes of C chord<br />
| |
| </th>
| |
| <th>written name<br />
| |
| </th>
| |
| <th>spoken name<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">blue<br />
| |
| </td>
| |
| <td style="text-align: center;">6:7:9<br />
| |
| </td>
| |
| <td style="text-align: center;">0-4-11<br />
| |
| </td>
| |
| <td style="text-align: center;">C Ebb G<br />
| |
| </td>
| |
| <td style="text-align: center;">C(b3) or C(d3)<br />
| |
| </td>
| |
| <td style="text-align: center;">C flat-three or C dim-three<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">green<br />
| |
| </td>
| |
| <td style="text-align: center;">10:12:15<br />
| |
| </td>
| |
| <td style="text-align: center;">0-5-11<br />
| |
| </td>
| |
| <td style="text-align: center;">C Eb G<br />
| |
| </td>
| |
| <td style="text-align: center;">Cm<br />
| |
| </td>
| |
| <td style="text-align: center;">C minor<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">yellow<br />
| |
| </td>
| |
| <td style="text-align: center;">4:5:6<br />
| |
| </td>
| |
| <td style="text-align: center;">0-6-11<br />
| |
| </td>
| |
| <td style="text-align: center;">C E G<br />
| |
| </td>
| |
| <td style="text-align: center;">C<br />
| |
| </td>
| |
| <td style="text-align: center;">C major or C<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">red<br />
| |
| </td>
| |
| <td style="text-align: center;">14:18:27<br />
| |
| </td>
| |
| <td style="text-align: center;">0-7-11<br />
| |
| </td>
| |
| <td style="text-align: center;">C E# G<br />
| |
| </td>
| |
| <td style="text-align: center;">C(#3) or C(A3)<br />
| |
| </td>
| |
| <td style="text-align: center;">C sharp-three or C aug-three<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | <span style=""><span style="right: auto;"><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-B-Fugue.mp3 Bach’s Fugue number 24 from Well Tempered Clavier, Book II]''</span></span></span> |
| 0-6-11-15 = C E G Bbb = C,bb7 or C,d7 = C double-flat-seven or C major dim-seven or C add dim-seven = 4:5:6:7<br />
| |
| 0-5-11-15 = C Eb G A# is Cm,#6 or Cm,A6 = C minor sharp-six or C minor aug-six = 1/(4:5:6:7) = 1/1 - 6/5 - 3/2 - 12/7<br />
| |
| <br />
| |
| The last two chords illustrate how the 15\19 interval can be considered as either 7/4 or 12/7, and how 19edo tends to conflate otonal and utonal septimal ratios.<br />
| |
| <br />
| |
| For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc5"><a name="Chord Names-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:12 -->Selected just intervals by error</h2>
| |
| The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented within 19edo (ordered by absolute error).<br />
| |
|
| |
|
| | rendered by Claudi Meneghin |
|
| |
|
| <table class="wiki_table">
| | ''[http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/_Movi_Nove__by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3 Movi-Nove]'' by [https://soundcloud.com/lois-lancaster/movi-nove Roncevaux (Löis Lancaster)] |
| <tr>
| |
| <td><strong>Interval, complement</strong><br />
| |
| </td>
| |
| <td><strong>Error (abs., in <a class="wiki_link" href="/cent">cents</a>)</strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/6_5">6/5</a>, <a class="wiki_link" href="/5_3">5/3</a><br />
| |
| </td>
| |
| <td style="text-align: center;">0.148<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/14_13">14/13</a>, <a class="wiki_link" href="/13_7">13/7</a><br />
| |
| </td>
| |
| <td style="text-align: center;">1.982<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/15_13">15/13</a>, <a class="wiki_link" href="/26_15">26/15</a><br />
| |
| </td>
| |
| <td style="text-align: center;">4.891<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/18_13">18/13</a>, <a class="wiki_link" href="/13_9">13/9</a><br />
| |
| </td>
| |
| <td style="text-align: center;">5.039<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/15_14">15/14</a>, <a class="wiki_link" href="/28_15">28/15</a><br />
| |
| </td>
| |
| <td style="text-align: center;">6.873<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_9">14/9</a><br />
| |
| </td>
| |
| <td style="text-align: center;">7.021<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/10_9">10/9</a>, <a class="wiki_link" href="/9_5">9/5</a><br />
| |
| </td>
| |
| <td style="text-align: center;">7.070<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a>, <a class="wiki_link" href="/3_2">3/2</a><br />
| |
| </td>
| |
| <td style="text-align: center;">7.218<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/5_4">5/4</a>, <a class="wiki_link" href="/8_5">8/5</a><br />
| |
| </td>
| |
| <td style="text-align: center;">7.366<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_10">13/10</a>, <a class="wiki_link" href="/20_13">20/13</a><br />
| |
| </td>
| |
| <td style="text-align: center;">12.109<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_12">13/12</a>, <a class="wiki_link" href="/24_13">24/13</a><br />
| |
| </td>
| |
| <td style="text-align: center;">12.257<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/7_5">7/5</a>, <a class="wiki_link" href="/10_7">10/7</a><br />
| |
| </td>
| |
| <td style="text-align: center;">14.091<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/7_6">7/6</a>, <a class="wiki_link" href="/12_7">12/7</a><br />
| |
| </td>
| |
| <td style="text-align: center;">14.239<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, <a class="wiki_link" href="/16_9">16/9</a><br />
| |
| </td>
| |
| <td style="text-align: center;">14.436<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/16_15">16/15</a>, <a class="wiki_link" href="/15_8">15/8</a><br />
| |
| </td>
| |
| <td style="text-align: center;">14.585<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, <a class="wiki_link" href="/16_11">16/11</a><br />
| |
| </td>
| |
| <td style="text-align: center;">17.103<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/16_13">16/13</a>, <a class="wiki_link" href="/13_8">13/8</a><br />
| |
| </td>
| |
| <td style="text-align: center;">19.475<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/7_4">7/4</a><br />
| |
| </td>
| |
| <td style="text-align: center;">21.457<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/12_11">12/11</a>, <a class="wiki_link" href="/11_6">11/6</a><br />
| |
| </td>
| |
| <td style="text-align: center;">24.321<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_10">11/10</a>, <a class="wiki_link" href="/20_11">20/11</a><br />
| |
| </td>
| |
| <td style="text-align: center;">24.469<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/11_7">11/7</a><br />
| |
| </td>
| |
| <td style="text-align: center;">24.597<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a>, <a class="wiki_link" href="/22_13">22/13</a><br />
| |
| </td>
| |
| <td style="text-align: center;">26.580<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/15_11">15/11</a>, <a class="wiki_link" href="/22_15">22/15</a><br />
| |
| </td>
| |
| <td style="text-align: center;">31.470<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, <a class="wiki_link" href="/18_11">18/11</a><br />
| |
| </td>
| |
| <td style="text-align: center;">31.539<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | [https://soundcloud.com/rewarrp/psychedelic-delt Psychedelic Delt] by Rewarrp |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24906428?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24906428&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/19ed2-001.svg">alt : Your browser has no SVG support.</object><!-- ws:end:WikiTextMediaRule:0 --><br />
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| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h2&gt; --><h2 id="toc6"><a name="Chord Names-Commas"></a><!-- ws:end:WikiTextHeadingRule:14 -->Commas</h2>
| |
| 19 EDO <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tempering%20out">tempers out</a> the following <a class="wiki_link" href="http://xenharmonic.wikispaces.com/comma">comma</a>s. (Note: This assumes the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/val">val</a> &lt; 19 30 44 53 66 70 |.)<br />
| |
|
| |
|
| | [https://soundcloud.com/camtaylor-1/17-out-of-19edo-bright-objects Bright Objects] - 17-tone fifths chain in 19EDO by Cam Taylor |
|
| |
|
| <table class="wiki_table">
| | [https://soundcloud.com/cam-taylor-2-1/17-out-of-19edo-wurly-minor-thirds-minor-sevens Minor Thirds, Minor Sevens] - 17-tone fifths chain in 19EDO by Cam Taylor |
| <tr>
| |
| <th>Comma<br />
| |
| </th>
| |
| <th>Monzo<br />
| |
| </th>
| |
| <th>Value (Cents)<br />
| |
| </th>
| |
| <th>Name(s)<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">16875/16384<br />
| |
| </td>
| |
| <td style="text-align: left;">| -14 3 4 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">51.12<br />
| |
| </td>
| |
| <td style="text-align: center;">Negri Comma, <span style="line-height: 1.5;">Double Augmentation Diesis</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3125/3072<br />
| |
| </td>
| |
| <td style="text-align: left;">| -10 -1 5 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">29.61<br />
| |
| </td>
| |
| <td style="text-align: center;">Small Diesis, <span style="line-height: 1.5;">Magic Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/81_80">81/80</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| -4 4 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">21.51<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Syntonic%20Comma">Syntonic Comma</a>, <span style="line-height: 1.5;">Didymos Comma, Meantone Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">78732/78125<br />
| |
| </td>
| |
| <td style="text-align: left;">| 2 9 -7 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">13.40<br />
| |
| </td>
| |
| <td style="text-align: center;">Medium Semicomma, <span style="line-height: 1.5;">Sensipent Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">15625/15552<br />
| |
| </td>
| |
| <td style="text-align: left;">| -6 -5 6 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">8.11<br />
| |
| </td>
| |
| <td style="text-align: center;">Kleisma, <span style="line-height: 1.5;">Semicomma Majeur</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: left;">| 8 14 -13 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">5.29<br />
| |
| </td>
| |
| <td style="text-align: center;">Parakleisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: left;">| -14 -19 19 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">2.82<br />
| |
| </td>
| |
| <td style="text-align: center;">Enneadeca, <span style="line-height: 1.5;">19-Tone-Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">1029/1000<br />
| |
| </td>
| |
| <td style="text-align: left;">| -3 1 -3 3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">49.49<br />
| |
| </td>
| |
| <td style="text-align: center;">Keega<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">525/512<br />
| |
| </td>
| |
| <td style="text-align: left;">| -9 1 2 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">43.41<br />
| |
| </td>
| |
| <td style="text-align: center;">Avicenna, <span style="line-height: 1.5;">Avicenna's Enharmonic Diesis</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/49_48">49/48</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| -4 -1 0 2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">35.70<br />
| |
| </td>
| |
| <td style="text-align: center;">Slendro Diesis<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">686/675<br />
| |
| </td>
| |
| <td style="text-align: left;">| 1 -3 -2 3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">27.99<br />
| |
| </td>
| |
| <td style="text-align: center;">Senga<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">875/864<br />
| |
| </td>
| |
| <td style="text-align: left;">| -5 -3 3 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">21.90<br />
| |
| </td>
| |
| <td style="text-align: center;">Keema<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/245_243">245/243</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| 0 -5 1 2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">14.19<br />
| |
| </td>
| |
| <td style="text-align: center;">Sensamagic<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/126_125">126/125</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| 1 2 -3 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">13.79<br />
| |
| </td>
| |
| <td style="text-align: center;">Septimal Semicomma, <span style="line-height: 1.5;">Starling Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/225_224">225/224</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| -5 2 2 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">7.71<br />
| |
| </td>
| |
| <td style="text-align: center;">Septimal Kleisma, <span style="line-height: 1.5;">Marvel Comma</span><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">19683/19600<br />
| |
| </td>
| |
| <td style="text-align: left;">| -4 9 -2 -2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">7.32<br />
| |
| </td>
| |
| <td style="text-align: center;">Cataharry<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">10976/10935<br />
| |
| </td>
| |
| <td style="text-align: left;">| 5 -7 -1 3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">6.48<br />
| |
| </td>
| |
| <td style="text-align: center;">Hemimage<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">3136/3125<br />
| |
| </td>
| |
| <td style="text-align: left;">| 6 0 -5 2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">6.08<br />
| |
| </td>
| |
| <td style="text-align: center;">Hemimean<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: left;">| -11 2 7 -3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">1.63<br />
| |
| </td>
| |
| <td style="text-align: center;">Meter<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">4375/4374<br />
| |
| </td>
| |
| <td style="text-align: left;">| -1 -7 4 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">0.40<br />
| |
| </td>
| |
| <td style="text-align: center;">Ragisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/100_99">100/99</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| 2 -2 2 0 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">17.40<br />
| |
| </td>
| |
| <td style="text-align: center;">Ptolemisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">896/891<br />
| |
| </td>
| |
| <td style="text-align: left;">| 7 -4 0 1 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">9.69<br />
| |
| </td>
| |
| <td style="text-align: center;">Pentacircle<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">65536/65219<br />
| |
| </td>
| |
| <td style="text-align: left;">| 16 0 0 -2 -3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">8.39<br />
| |
| </td>
| |
| <td style="text-align: center;">Orgonisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/385_384">385/384</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| -7 -1 1 1 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">4.50<br />
| |
| </td>
| |
| <td style="text-align: center;">Keenanisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">540/539<br />
| |
| </td>
| |
| <td style="text-align: left;">| 2 3 1 -2 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">3.21<br />
| |
| </td>
| |
| <td style="text-align: center;">Swetisma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/91_90">91/90</a><br />
| |
| </td>
| |
| <td style="text-align: left;">| -1 -2 -1 1 0 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">19.13<br />
| |
| </td>
| |
| <td style="text-align: center;">Superleap<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">676/675<br />
| |
| </td>
| |
| <td style="text-align: left;">| 2 -3 -2 0 0 2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">2.56<br />
| |
| </td>
| |
| <td style="text-align: center;">Parizeksma<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | [https://soundcloud.com/camtaylor-1/wurly-minors-and-enharmonic-tetrachords-17-out-of-19edo Wurly Minors and Enharmonic Tetrachords] - 17-tone fifths chain in 19EDO by Cam Taylor |
| <br />
| | [[Category:19-tone]] |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Chord Names-See also"></a><!-- ws:end:WikiTextHeadingRule:16 -->See also</h2>
| | [[Category:19edo]] |
| <ul><li><a class="wiki_link" href="/19edo%20Modes">19edo Modes</a></li><li><a class="wiki_link" href="/Strictly%20proper%2019edo%20scales">Strictly prope</a><a class="wiki_link" href="/Strictly%20proper%2019edo%20scales">r 19edo scales</a></li><li><a class="wiki_link" href="/How%20to%20tune%20a%2019edo%20guitar%20by%20ear">How to tune a 19edo guitar by ear</a></li><li><a class="wiki_link" href="/Chord%20progressions%20in%2019edo-family%20scales">Chord progressions in 19edo-family scales</a></li></ul><br />
| | [[Category:edo]] |
| <br />
| | [[Category:golden]] |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Chord Names-Articles"></a><!-- ws:end:WikiTextHeadingRule:18 -->Articles</h2>
| | [[Category:intervals]] |
| <ul><li><a class="wiki_link_ext" href="http://sonic-arts.org/darreg/case.htm" rel="nofollow">A Case For Nineteen</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ivor%20Darreg">Ivor Darreg</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5xZzBtDGF" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.microstick.net/nineteenarticle.htm" rel="nofollow">Nineteen for the Nineties</a> by Ivor Darreg</li><li><a class="wiki_link_ext" href="http://qcpages.qc.edu/%7Ehowe/articles/19-Tone%20Theory.html" rel="nofollow">19-Tone Theory and Applications</a> by Hubert S. Howe Jr. <a class="wiki_link_ext" href="http://www.webcitation.org/5xbMKVaqa" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/tet19/guitarchords19.html" rel="nofollow">Tunings for 19 Tone Equal Tempered Guitar</a> by William A. Sethares <a class="wiki_link_ext" href="http://www.webcitation.org/5xeCbEPZ0" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://www.n-ism.org/Projects/microtonalism.php" rel="nofollow">Microtonalism</a> by Bailey, Morrison, Pearson and Parncutt <a class="wiki_link_ext" href="http://www.webcitation.org/5xeDFQDvn" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">19-tone equal-temperament and 1/3-comma meantone - Encyclopedia of Microtonal Music Theory</a> <a class="wiki_link_ext" href="http://tonalsoft.com/enc/number/19edo.aspx" rel="nofollow">Permalink</a></li><li><a class="wiki_link_ext" href="http://mtg.redkeylabs.com/index.php?topic=6.0" rel="nofollow">Forum Discussion with some 19-EDO xenharmonic scales Hanson (Keemun), Liese, Negri, Magic, Semaphore, Sensi played on guitar</a>.</li><li><a class="wiki_link_ext" href="http://www.ronsword.com/books.html" rel="nofollow">Enneadecaphonic Scales for Guitar</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ron%20Sword">Ron Sword</a></li></ul><br />
| | [[Category:listen]] |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Chord Names-References"></a><!-- ws:end:WikiTextHeadingRule:20 -->References</h2>
| | [[Category:meantone]] |
| <ul><li>Bucht, Saku and Huovinen, Erkki, <em>Perceived consonance of harmonic intervals in 19-tone equal temperament</em>, CIM04_proceedings.</li><li>Levy, Kenneth J., <em>Costeley's Chromatic Chanson</em>, Annales Musicologues: Moyen-Age et Renaissance, Tome III (1955), pp. 213-261.</li></ul><!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc10"><!-- ws:end:WikiTextHeadingRule:22 --> </h1>
| | [[Category:prime_edo]] |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h2&gt; --><h2 id="toc11"><a name="Chord Names-Photos"></a><!-- ws:end:WikiTextHeadingRule:24 -->Photos</h2>
| | [[Category:teentuning]] |
| 19 note per octave Ibanez conversion by Brad Smith (Indianapolis)<br />
| | [[Category:todo:unify_precision]] |
| <!-- ws:start:WikiTextRemoteImageRule:981:&lt;img src=&quot;http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 420px; width: 560px;&quot; /&gt; --><img src="http://chrisvaisvil.com/wp-content/uploads/2011/04/Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" alt="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" title="external image Media-Card_BlackBerry_pictures_IMG00145-1024x768.jpg" style="height: 420px; width: 560px;" /><!-- ws:end:WikiTextRemoteImageRule:981 --><br />
| | [[Category:zeta]] |
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| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc12"><a name="Compositions"></a><!-- ws:end:WikiTextHeadingRule:26 -->Compositions<!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/23473446?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;23473446&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player-beta.js">
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| <strong><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/" rel="nofollow">XA 19-ET Index</a></strong><br />
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| <br />
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| <span class="ymp-btn-page-play ymp-media-3e72a120cc21a6d967e20c2712353cac"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="https://soundcloud.com/aaron-krister-johnson/the-juggler" rel="nofollow">The Juggler</a></span></span></span></span> </span>by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Aaron%20Krister%20Johnson">Aaron Krister Johnson</a><br />
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| <a class="wiki_link_ext" href="http://www.soundclick.com/bands/page_songInfo.cfm?bandID=145852&amp;songID=1008195" rel="nofollow">Foum</a> <span class="ymp-btn-page-play ymp-media-2b0116564acb823413278e931e9bca8e"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Barton/Foum.mp3" rel="nofollow">play</a></span></span></span></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Jacob%20Barton">Jacob Barton</a><br />
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| <a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/sand.html" rel="nofollow">Sand</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Christopher%20Bailey">Christopher Bailey</a><br />
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| <span class="ymp-btn-page-play ymp-media-1ec26b280d7788ac0e790719d577a218"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://works.music.columbia.edu/%7Echris/19mix1.mp3" rel="nofollow">Walking Down the Hillside at Cortona, and Seeing its Towers Rise Before Me</a></span></span></span></span> </span>by Christopher Bailey<br />
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| <span class="ymp-btn-page-play ymp-media-cd7d3a983dce091a8096cb87d6862820"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/ditty/ditty_fast.mp3" rel="nofollow">Ditty</a></span></span></span></span> </span>by Christopher Bailey<br />
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| <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/misc/Guillaume%20Costeley%20-%20Seigneur%20Dieu%20ta%20piti%e9.mp3" rel="nofollow">Seigneur Dieu ta pitié</a></em> by Guillaume Costeley<br />
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| <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/0-hosted-albums/ivor/02%20Prelude%202%20for%2019%20tone%20guitar.mp3" rel="nofollow">Prelude 2 for 19 tone guitar</a></em> by <a class="wiki_link" href="/Ivor%20Darreg">Ivor Darreg</a><br />
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| <a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/sympathetic.html" rel="nofollow">Sympathetic Metaphor</a> <span class="ymp-btn-page-play ymp-media-e4e0069ea45121cc80c2ce578a945837"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/SympatheticMetaphor.mp3" rel="nofollow">play</a></span></span></span></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/William%20Sethares">William Sethares</a> <a class="wiki_link_ext" href="http://www.webcitation.org/5zFdC6u4V" rel="nofollow">Permalink</a><br />
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| <a class="wiki_link_ext" href="http://sethares.engr.wisc.edu/mp3s/truthonabus.html" rel="nofollow">Truth on a bus</a> <span class="ymp-btn-page-play ymp-media-526d4e563c03aca7835db55159692c7d"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Sethares/Truth_on_a_Bus.mp3" rel="nofollow">play</a></span></span></span></span></span> by William Sethares <a class="wiki_link_ext" href="http://www.webcitation.org/5zFdSw1g4" rel="nofollow">Permalink</a><br />
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| <span class="ymp-btn-page-play ymp-media-d26b8b4b4beee2371ad7b7c7cc71a9da"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/Rondo19ET.mp3" rel="nofollow">Rondo in 19ET</a></span></span></span></span> </span>by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Aaron%20Andrew%20Hunt">Aaron Andrew Hunt</a><br />
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| <span class="ymp-btn-page-play ymp-media-c1ba958b4d29ea779eb3e6e1cb5779c7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Starrett/CitifiedNotions19tet.mp3" rel="nofollow">Citified Notions</a></em></span></span></span></span></span> and<br />
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| <em><a class="wiki_link_ext" href="http://archive.org/download/LimpOffToSchool/LimpOffToSchool19tet.mp3" rel="nofollow">Limp Off to School</a></em> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/John%20Starrett">John Starrett</a>.<br />
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| <span class="ymp-btn-page-play ymp-media-e5a2a3d148bc1b07acdba10ca90219c7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/betelgeuse.mp3" rel="nofollow">The Light Of My Betelgeuse</a></em></span></span></span></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Mykhaylo%20Khramov">Mykhaylo Khramov</a><br />
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| <em><a class="wiki_link_ext" href="http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/01.Undines.mp3" rel="nofollow">Undines</a></em>, <em><a class="wiki_link_ext" href="http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/02.Sylphs.mp3" rel="nofollow">Sylphs</a></em>, <em><a class="wiki_link_ext" href="http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/03.Gnomes.mp3" rel="nofollow">Gnomes</a></em>, and <em><a class="wiki_link_ext" href="http://archive.org/download/ElementalsFor2PianosIn19EqualTemperament/04.Salamanders.mp3" rel="nofollow">Salamanders</a></em> by Jon Lyle Smith<br />
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| <a class="wiki_link_ext" href="http://archive.org/details/AnotherAireForLute" rel="nofollow">Another Aire For Lute</a> by Jon Lyle Smith<br />
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| A number of compositions that were perfomed at the <a class="wiki_link_ext" href="http://midwestmicrofest.org/concerts.html" rel="nofollow">midwestmicrofest concert in 2007</a><br />
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| Fanfare in 19-note Equal Tuning by Easley Blackwood<br />
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| <a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/zvire.mp3" rel="nofollow">Zvíře</a> by <a class="wiki_link_ext" href="http://www.uvnitr.cz/flaoyg/flao_yg/zvire.html" rel="nofollow">Milan Guštar</a><br />
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| <a class="wiki_link_ext" href="http://www.ziaspace.com/ZIA/sections/music.html" rel="nofollow">19tet downloadable mp3s by ZIA, Elaine Walker and D.D.T.</a><br />
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| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Winchester/14%20-%2014.%2019%20octave.mp3" rel="nofollow">Comets Over Flatland 14</a></em></span></span></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Randy%20Winchester">Randy Winchester</a><br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=865" rel="nofollow" target="_blank">Forgetting Even Her Beauty blog</a> <span class="ymp-btn-page-play ymp-media-7cdb4644c05849d85c1a04ed2a07a5a7"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110516-19-forgetting_even_her_beauty.mp3" rel="nofollow">play Forgetting Even Her Beauty</a></em></span></span></span></span> </span>by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=855" rel="nofollow" target="_blank">19 Black Hawks for Osama blog</a> <span class="ymp-media-3badeb9b3b5a5768a5e43cea7e10b377 ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=gGO0R381HQs" rel="nofollow">play video for 19 Black Hawks for Osama</a></em> </span></span></span></span> </span>by Chris Vaisvil<br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=823" rel="nofollow" target="_blank">Summer Song blog</a> <span class="ymp-media-44691c8e07e030770b33e146e0d88212 ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110501-19-summer_song_mix3.mp3" rel="nofollow">play Summer Song</a></em></span></span></span></span> </span>by Trevor (The TwoRegs) and Norm Harris and Chris Vaisvil<br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=820" rel="nofollow" target="_blank">19 ImprovFridays blog</a> <span class="ymp-btn-page-play ymp-media-c6d81d29a5290997eac85574c62b39e3"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-video ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=-KaRXFoYwT4" rel="nofollow">play video of performance of 19 ImprovFridays</a></em> </span></span></span></span> </span>by Chris Vaisvil<br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=800" rel="nofollow" target="_blank">The World has Changed blog</a> <span class="ymp-media-d1cc76332b281044aecd4287b683de9d ymp-btn-page-play"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110429-19edo-the_world_has_changed3.mp3" rel="nofollow">play The World has Changed</a></em></span></span></span></span> </span>by Chris Vaisvil<br />
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| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=883" rel="nofollow">jjj</a> <span class="ymp-btn-page-play ymp-media-35bea9630e48d0842ee9259bac028257"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20110523-19take2.mp3" rel="nofollow">play</a></em></span></span></span></span></span> by Chris Vaisvil<br />
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| <a class="wiki_link_ext" href="http://soundcloud.com/omega9/chip-chamber" rel="nofollow">Now listen! Pitch!</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Now%20listen%21%20Pitch%21.mp3" rel="nofollow">play</a> by Omega9<br />
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| <a class="wiki_link_ext" href="https://www.youtube.com/watch?v=mlvme3ukPLE" rel="nofollow">Cordas (19-edo version)</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas.mp3" rel="nofollow">play</a> by Omega9<br />
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| <em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=DSOGF4gDYu8" rel="nofollow">A Piece in 19edo</a></em> by Omega9<br />
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| <a class="wiki_link_ext" href="http://soundcloud.com/omega9/a-piece-in-19edo-version-3" rel="nofollow">A Piece in 19edo (ver.3)</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20A%20Piece%20in%2019edo.mp3" rel="nofollow">play</a> by Omega9<br />
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| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-A-Prelude.mp3" rel="nofollow">Bach’s Prelude number 24 from Well Tempered Clavier, Book II</a></em></span></span></span><br />
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| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><span style="right: auto;"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/WTC2-24/19-edo-B-Fugue.mp3" rel="nofollow">Bach’s Fugue number 24 from Well Tempered Clavier, Book II</a></em></span></span></span><br />
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| rendered by Claudi Meneghin<br />
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| <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Roncevaux/_Movi_Nove__by_Roncevaux_on_SoundCloud___Hear_the_world_s_sounds.mp3" rel="nofollow">Movi-Nove</a></em> by <a class="wiki_link_ext" href="https://soundcloud.com/lois-lancaster/movi-nove" rel="nofollow">Roncevaux (Löis Lancaster)</a><br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/rewarrp/psychedelic-delt" rel="nofollow">Psychedelic Delt</a> by Rewarrp<br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/camtaylor-1/17-out-of-19edo-bright-objects" rel="nofollow">Bright Objects</a> - 17-tone fifths chain in 19EDO by Cam Taylor<br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/cam-taylor-2-1/17-out-of-19edo-wurly-minor-thirds-minor-sevens" rel="nofollow">Minor Thirds, Minor Sevens</a> - 17-tone fifths chain in 19EDO by Cam Taylor<br />
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| <a class="wiki_link_ext" href="https://soundcloud.com/camtaylor-1/wurly-minors-and-enharmonic-tetrachords-17-out-of-19edo" rel="nofollow">Wurly Minors and Enharmonic Tetrachords</a> - 17-tone fifths chain in 19EDO by Cam Taylor</body></html></pre></div>
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