Wikispaces>Stephen_Weigel |
|
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2> | | <span style="display: block; text-align: right;"><span style="color: #1300ff;">[[:de:17edo Deutsch]] - [[17平均律|日本語]]</span> |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:Stephen_Weigel|Stephen_Weigel]] and made on <tt>2018-03-02 14:41:29 UTC</tt>.<br>
| |
| : The original revision id was <tt>627125445</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <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;"><span style="color: #1300ff;">[[xenharmonie/17edo|Deutsch]] - [[17平均律|日本語]]</span>
| |
| </span>
| |
| =<span style="color: #1300ff;">17 tone equal temperament</span>=
| |
| [[toc]]
| |
| **17-EDO** divides the octave in 17 equal steps, each 70.588 [[cent|cents]] in size. It is the seventh [[prime numbers|prime]] edo, following [[13edo]] and coming before [[19edo]].
| |
|
| |
|
| ==Theory==
| | </span> |
| An introduction to 17-EDO theory, through the eyes of the [[SeventeenTonePianoProject]]: [[SeventeenTheory]].
| |
| Another introduction into 17-EDO theory: [[http://xenharmony.wikispaces.com/space/showimage/17puzzle.pdf|The 17-tone Puzzle]] by George Secor.
| |
| [[17edo Solfege]]. [[17edo tetrachords]]. [[http://microtonalismo.com/proyecto-xvii|Proyect 17-Perú]]
| |
|
| |
|
| 17-EDO can plausibly be treated as a 2.3.25.7.11.13.23 subgroup temperament, for which it is quite accurate (though the 7-limit ratios are generally not as well-represented as those of the other integers). Because the 3, 7, 11, and 13 are all sharp, it adapts well to octave shrinking; [[27edt]] (a variant of 17edo in which the octaves are flattened by ~2.5 cents) is a good alternative. Another one is [[44ed6]]. | | =<span style="color: #1300ff;">17 tone equal temperament</span>= |
| | __FORCETOC__ |
| | '''17-EDO''' divides the octave in 17 equal steps, each 70.588 [[cent|cents]] in size. It is the seventh [[prime_numbers|prime]] edo, following [[13edo|13edo]] and coming before [[19edo|19edo]]. |
| | |
| | ==Theory== |
| | An introduction to 17-EDO theory, through the eyes of the [[SeventeenTonePianoProject|SeventeenTonePianoProject]]: [[SeventeenTheory|SeventeenTheory]]. |
| | |
| | Another introduction into 17-EDO theory: [http://xenharmony.wikispaces.com/space/showimage/17puzzle.pdf The 17-tone Puzzle] by George Secor. |
| | |
| | [[17edo_Solfege|17edo Solfege]]. [[17edo_tetrachords|17edo tetrachords]]. [http://microtonalismo.com/proyecto-xvii Proyect 17-Perú] |
| | |
| | 17-EDO can plausibly be treated as a 2.3.25.7.11.13.23 subgroup temperament, for which it is quite accurate (though the 7-limit ratios are generally not as well-represented as those of the other integers). Because the 3, 7, 11, and 13 are all sharp, it adapts well to octave shrinking; [[27edt|27edt]] (a variant of 17edo in which the octaves are flattened by ~2.5 cents) is a good alternative. Another one is [[44ed6|44ed6]]. |
|
| |
|
| As a no-fives system, it is best used with timbres in which harmonic multiples of 5 are attenuated or absent. Also, the standard major chord (4:5:6) cannot be used since it includes the fifth harmonic. | | As a no-fives system, it is best used with timbres in which harmonic multiples of 5 are attenuated or absent. Also, the standard major chord (4:5:6) cannot be used since it includes the fifth harmonic. |
|
| |
|
| Instead, the tonic chords of 17-EDO could be considered to be the tetrad 6:7:8:9 and its utonal inversion, the former of which is a subminor chord with added fourth, and the latter a supermajor chord with added second (resembling the famous [[https://en.wikipedia.org/wiki/Mu_chord|mu major chord]] of Steely Dan fame). These are realized in 17-EDO as 0-4-7-10 and 0-3-6-10, respectively. Both of these have distinct moods, and are stable and consonant, if somewhat more sophisticated than their classic 5-limit counterparts. To this group we could also add the 0-3-7-10 (which is a sus4 with added second, or sus2 with added fourth). These three chords comprise the three ways to divide the 17-EDO perfect fifth into two whole tones and one subminor third. Chromatic alterations of them also exist, for example, the 0-3-7-10 chord may be altered to 0-2-7-10 (which approximates 12:13:16:18) or 0-3-8-10 (which approximates 8:9:11:12). The 0-3-8-10 chord is impressive-sounding, resembling a sus4 but with even more tension; it resolves quite nicely to 0-3-6-10. | | Instead, the tonic chords of 17-EDO could be considered to be the tetrad 6:7:8:9 and its utonal inversion, the former of which is a subminor chord with added fourth, and the latter a supermajor chord with added second (resembling the famous [https://en.wikipedia.org/wiki/Mu_chord mu major chord] of Steely Dan fame). These are realized in 17-EDO as 0-4-7-10 and 0-3-6-10, respectively. Both of these have distinct moods, and are stable and consonant, if somewhat more sophisticated than their classic 5-limit counterparts. To this group we could also add the 0-3-7-10 (which is a sus4 with added second, or sus2 with added fourth). These three chords comprise the three ways to divide the 17-EDO perfect fifth into two whole tones and one subminor third. Chromatic alterations of them also exist, for example, the 0-3-7-10 chord may be altered to 0-2-7-10 (which approximates 12:13:16:18) or 0-3-8-10 (which approximates 8:9:11:12). The 0-3-8-10 chord is impressive-sounding, resembling a sus4 but with even more tension; it resolves quite nicely to 0-3-6-10. |
| | |
| | =Intervals= |
| | |
| | {| class="wikitable" |
| | |- |
| | ! | Degree |
| | ! | Cents |
| | ! | Names ofIntervals |
| | ! colspan="3" | [[Ups_and_Downs_Notation|ups and downs ]][[Ups_and_Downs_Notation|notation]] |
| | ! | ApproximateRatios* |
| | ! | Temperament(s)generated |
| | |- |
| | | | 0 |
| | | | 0 |
| | | | Unison |
| | | style="text-align:center;" | unison |
| | | style="text-align:center;" | P1 |
| | | style="text-align:center;" | C |
| | | style="text-align:center;" | 1/1 |
| | | | |
| | |- |
| | | | 1 |
| | | | 70.59 |
| | | | Super Unison/Minor Second |
| | | style="text-align:center;" | minor 2nd |
| | | style="text-align:center;" | m2 |
| | | style="text-align:center;" | Db |
| | | style="text-align:center;" | [[25/24|25/24]], [[26/25|26/25]], [[33/32|33/32]] |
| | | | |
| | |- |
| | | | 2 |
| | | | 141.18 |
| | | | Augmented Unison/Neutral Second |
| | | style="text-align:center;" | mid 2nd |
| | | style="text-align:center;" | ~2 |
| | | style="text-align:center;" | Dv |
| | | style="text-align:center;" | [[13/12|13/12]], [[12/11|12/11]], [[14/13|14/13]] |
| | | | [[Bleu|Bleu]] |
| | |- |
| | | | 3 |
| | | | 211.765 |
| | | | Major Second/Sub Third |
| | | style="text-align:center;" | major 2nd |
| | | style="text-align:center;" | M2 |
| | | style="text-align:center;" | D |
| | | style="text-align:center;" | [[9/8|9/8]], [[25/22|25/22]], [[8/7|8/7]], [[28/25|28/25]] |
| | | | [[Machine|Machine]] |
| | |- |
| | | | 4 |
| | | | 282.35 |
| | | | Minor Third/Super Second |
| | | style="text-align:center;" | minor 3rd |
| | | style="text-align:center;" | m3 |
| | | style="text-align:center;" | Eb |
| | | style="text-align:center;" | [[13/11|13/11]], [[75/64|75/64]], [[7/6|7/6]] |
| | | | [[Huxley|Huxley]] |
| | |- |
| | | | 5 |
| | | | 352.94 |
| | | | Augmented Second/Neutral Third/Diminished Fourth |
| | | style="text-align:center;" | mid 3rd |
| | | style="text-align:center;" | ~3 |
| | | style="text-align:center;" | Ev |
| | | style="text-align:center;" | [[11/9|11/9]], [[16/13|16/13]] |
| | | | [[maqamic|Maqamic]]/[[Hemif|hemif]] |
| | |- |
| | | | 6 |
| | | | 423.53 |
| | | | Major Third/Sub Fourth |
| | | style="text-align:center;" | major 3rd |
| | | style="text-align:center;" | M3 |
| | | style="text-align:center;" | E |
| | | style="text-align:center;" | [[32/25|32/25]], [[33/26|33/26]], [[9/7|9/7]], [[14/11|14/11]], [[51/40|51/40]] |
| | | | [[Skwares|Skwares]] |
| | |- |
| | | | 7 |
| | | | 494.11 |
| | | | Perfect Fourth |
| | | style="text-align:center;" | perfect 4th |
| | | style="text-align:center;" | P4 |
| | | style="text-align:center;" | F |
| | | style="text-align:center;" | [[4/3|4/3]] |
| | | | [[Supra|Supra]] |
| | |- |
| | | | 8 |
| | | | 564.71 |
| | | | Super FourthDiminished Fifth |
| | | style="text-align:center;" | up 4th,diminished 5th |
| | | style="text-align:center;" | ^4, d5 |
| | | style="text-align:center;" | F^, Gb |
| | | style="text-align:center;" | [[11/8|11/8]], 18/13 |
| | | | [[Progress|Progress]] |
| | |- |
| | | | 9 |
| | | | 635.29 |
| | | | Augmented Fourth/Sub Fifth |
| | | style="text-align:center;" | augmented 4th,down 5th |
| | | style="text-align:center;" | A4, v5 |
| | | style="text-align:center;" | F#, Gv |
| | | style="text-align:center;" | [[16/11|16/11]], 13/9, [[23/16|23/16]] |
| | | | Progress |
| | |- |
| | | | 10 |
| | | | 705.88 |
| | | | Perfect Fifth |
| | | style="text-align:center;" | perfect 5th |
| | | style="text-align:center;" | P5 |
| | | style="text-align:center;" | G |
| | | style="text-align:center;" | [[3/2|3/2]] |
| | | | Supra |
| | |- |
| | | | 11 |
| | | | 776.47 |
| | | | Super Fifth/Minor Sixth |
| | | style="text-align:center;" | minor 6th |
| | | style="text-align:center;" | m6 |
| | | style="text-align:center;" | Ab |
| | | style="text-align:center;" | 25/16, 52/33, 14/9, [[11/7|11/7]] |
| | | | Skwares |
| | |- |
| | | | 12 |
| | | | 847.06 |
| | | | Augmented Fifth/Neutral Sixth/Diminished Seventh |
| | | style="text-align:center;" | mid 6th |
| | | style="text-align:center;" | ~6 |
| | | style="text-align:center;" | Av |
| | | style="text-align:center;" | [[13/8|13/8]], 18/11 |
| | | | Maqamic/hemif |
| | |- |
| | | | 13 |
| | | | 917.65 |
| | | | Major Sixth/Sub Seventh |
| | | style="text-align:center;" | major 6th |
| | | style="text-align:center;" | M6 |
| | | style="text-align:center;" | A |
| | | style="text-align:center;" | [[17/10|17/10]], [[22/13|22/13]], 128/75, [[12/7|12/7]] |
| | | | Huxley |
| | |- |
| | | | 14 |
| | | | 988.235 |
| | | | Minor Seventh/Super Sixth |
| | | style="text-align:center;" | minor 7th |
| | | style="text-align:center;" | m7 |
| | | style="text-align:center;" | Bb |
| | | style="text-align:center;" | [[16/9|16/9]], 44/25, 7/4, 25/14 |
| | | | Machine |
| | |- |
| | | | 15 |
| | | | 1058.82 |
| | | | Augmented Sixth/Neutral Seventh/Diminished Octave |
| | | style="text-align:center;" | mid 7th |
| | | style="text-align:center;" | ~7 |
| | | style="text-align:center;" | Bv |
| | | style="text-align:center;" | [[11/6|11/6]], 24/13, [[13/7|13/7]] |
| | | | Bleu |
| | |- |
| | | | 16 |
| | | | 1129.41 |
| | | | Major Seventh/Sub Octave |
| | | style="text-align:center;" | major 7th |
| | | style="text-align:center;" | M7 |
| | | style="text-align:center;" | B |
| | | style="text-align:center;" | 25/13, 48/25, 64/33 |
| | | | |
| | |- |
| | | | 17 |
| | | | 1200 |
| | | | Perfect Octave |
| | | style="text-align:center;" | octave |
| | | style="text-align:center;" | P8 |
| | | style="text-align:center;" | C |
| | | style="text-align:center;" | [[2/1|2/1]] |
| | | | |
| | |} |
| | Combining ups and downs notation with [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors: |
|
| |
|
| =Intervals=
| | {| class="wikitable" |
| ||~ Degree ||~ Cents ||~ Names ofIntervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ ApproximateRatios* ||~ Temperament(s)generated ||
| | |- |
| || 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 || ||
| | ! | quality |
| || 1 || 70.59 || Super Unison/Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] || || | | ! | color |
| || 2 || 141.18 || Augmented Unison/Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] || | | ! | monzo format |
| || 3 || 211.765 || Major Second/Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] || | | ! | examples |
| || 4 || 282.35 || Minor Third/Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] || | | |- |
| || 5 || 352.94 || Augmented Second/Neutral Third/Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] || | | | style="text-align:center;" | minor |
| || 6 || 423.53 || Major Third/Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] || | | | style="text-align:center;" | blue |
| || 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] || | | | style="text-align:center;" | {a, b, 0, 1} |
| || 8 || 564.71 || Super FourthDiminished Fifth ||= up 4th,diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
| | | style="text-align:center;" | 7/6, 7/4 |
| || 9 || 635.29 || Augmented Fourth/Sub Fifth ||= augmented 4th,down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
| | |- |
| || 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra ||
| | | style="text-align:center;" | " |
| || 11 || 776.47 || Super Fifth/Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
| | | style="text-align:center;" | fourthward white |
| || 12 || 847.06 || Augmented Fifth/Neutral Sixth/Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
| | | style="text-align:center;" | {a, b}, b < -1 |
| || 13 || 917.65 || Major Sixth/Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
| | | style="text-align:center;" | 32/27, 16/9 |
| || 14 || 988.235 || Minor Seventh/Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
| | |- |
| || 15 || 1058.82 || Augmented Sixth/Neutral Seventh/Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu || | | | style="text-align:center;" | mid |
| || 16 || 1129.41 || Major Seventh/Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 || || | | | style="text-align:center;" | jade |
| || 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] || ||
| | | style="text-align:center;" | {a, b, 0, 0, 1} |
| Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors:
| | | style="text-align:center;" | 11/9, 11/6 |
| ||~ quality ||~ color ||~ monzo format ||~ examples ||
| | |- |
| ||= minor ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 ||
| | | style="text-align:center;" | " |
| ||= " ||= fourthward white ||= {a, b}, b < -1 ||= 32/27, 16/9 || | | | style="text-align:center;" | amber |
| ||= mid ||= jade ||= {a, b, 0, 0, 1} ||= 11/9, 11/6 || | | | style="text-align:center;" | {a, b, 0, 0, -1} |
| ||= " ||= amber ||= {a, b, 0, 0, -1} ||= 12/11, 18/11 || | | | style="text-align:center;" | 12/11, 18/11 |
| ||= major ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 || | | |- |
| ||= " ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 || | | | style="text-align:center;" | major |
| | | 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;" | " |
| | | style="text-align:center;" | red |
| | | style="text-align:center;" | {a, b, 0, -1} |
| | | style="text-align:center;" | 9/7, 12/7 |
| | |} |
|
| |
|
| =Chord Names= | | =Chord Names= |
|
| |
|
| All 17edo chords can be named using ups and downs. Here are the blue, jade and red triads: | | All 17edo chords can be named using ups and downs. Here are the blue, jade and red triads: |
| ||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name || | | |
| ||= blue ||= 6:7:9 ||= 0-4-10 ||= C Eb G ||= Cm ||= C minor || | | {| class="wikitable" |
| ||= jade ||= 18:22:27 ||= 0-5-10 ||= C Ev G ||= C~ ||= C mid || | | |- |
| ||= red ||= 14:18:27 ||= 0-6-10 ||= C E G ||= C ||= C major or C || | | ! | color of the 3rd |
| | ! | 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;" | 0-4-10 |
| | | style="text-align:center;" | C Eb G |
| | | style="text-align:center;" | Cm |
| | | style="text-align:center;" | C minor |
| | |- |
| | | style="text-align:center;" | jade |
| | | style="text-align:center;" | 18:22:27 |
| | | style="text-align:center;" | 0-5-10 |
| | | style="text-align:center;" | C Ev G |
| | | style="text-align:center;" | C~ |
| | | style="text-align:center;" | C mid |
| | |- |
| | | style="text-align:center;" | red |
| | | style="text-align:center;" | 14:18:27 |
| | | style="text-align:center;" | 0-6-10 |
| | | style="text-align:center;" | C E G |
| | | style="text-align:center;" | C |
| | | style="text-align:center;" | C major or C |
| | |} |
|
| |
|
| 0-4-9 = C Eb Gv = Cm(v5) = C minor down-five | | 0-4-9 = C Eb Gv = Cm(v5) = C minor down-five |
| | |
| 0-5-9 = C Ev G = C~(v5) = C mid down-five | | 0-5-9 = C Ev G = C~(v5) = C mid down-five |
| | |
| 0-6-11 = C E G^ = C(^5) = C up-five | | 0-6-11 = C E G^ = C(^5) = C up-five |
|
| |
|
| 0-4-10-14 = C Eb G Bb = Cm7 = C minor seven | | 0-4-10-14 = C Eb G Bb = Cm7 = C minor seven |
| | |
| 0-5-10-14 = C Ev G Bb = C7(~3) = C seven mid-three | | 0-5-10-14 = C Ev G Bb = C7(~3) = C seven mid-three |
| | |
| 0-6-10-15 = C E G Bv = C,~7 = C mid seven | | 0-6-10-15 = C E G Bv = C,~7 = C mid seven |
| | |
| 0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven | | 0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven |
|
| |
|
| 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 in 17edo (ordered by absolute error). | | The following table shows how [[Just-24|some prominent just intervals]] are represented in 17edo (ordered by absolute error). |
| || **Interval, complement** || **Error (abs., in [[cent|cents]])** ||
| |
| ||= [[18_13|18/13]], [[13_9|13/9]] ||= 1.324 ||
| |
| ||= [[13_12|13/12]], [[24_13|24/13]] ||= 2.604 ||
| |
| ||= [[4_3|4/3]], [[3_2|3/2]] ||= 3.927 ||
| |
| ||= [[11_9|11/9]], [[18_11|18/11]] ||= 5.533 ||
| |
| ||= [[14_11|14/11]], [[11_7|11/7]] ||= 6.021 ||
| |
| ||= [[16_13|16/13]], [[13_8|13/8]] ||= 6.531 ||
| |
| ||= [[13_11|13/11]], [[22_13|22/13]] ||= 6.857 ||
| |
| ||= [[9_8|9/8]], [[16_9|16/9]] ||= 7.855 ||
| |
| ||= [[12_11|12/11]], [[11_6|11/6]] ||= 9.461 ||
| |
| ||= [[9_7|9/7]], [[14_9|14/9]] ||= 11.555 ||
| |
| ||= [[14_13|14/13]], [[13_7|13/7]] ||= 12.878 ||
| |
| ||= [[11_8|11/8]], [[16_11|16/11]] ||= 13.388 ||
| |
| ||= [[7_6|7/6]], [[12_7|12/7]] ||= 15.482 ||
| |
| ||= [[7_5|7/5]], [[10_7|10/7]] ||= 17.806 ||
| |
| ||= [[8_7|8/7]], [[7_4|7/4]] ||= 19.409 ||
| |
| ||= [[15_14|15/14]], [[28_15|28/15]] ||= 21.734 ||
| |
| ||= [[11_10|11/10]], [[20_11|20/11]] ||= 23.828 ||
| |
| ||= [[15_11|15/11]], [[22_15|22/15]] ||= 27.755 ||
| |
| ||= [[10_9|10/9]], [[9_5|9/5]] ||= 29.361 ||
| |
| ||= [[16_15|16/15]], [[15_8|15/8]] ||= 29.445 ||
| |
| ||= [[13_10|13/10]], [[20_13|20/13]] ||= 30.685 ||
| |
| ||= [[6_5|6/5]], [[5_3|5/3]] ||= 33.288 ||
| |
| ||= [[5_4|5/4]], [[8_5|8/5]] ||= 33.373 ||
| |
| ||= [[15_13|15/13]], [[26_15|26/15]] ||= 34.612 ||
| |
|
| |
|
| [[media type="custom" key="24810186"]] | | {| class="wikitable" |
| [[file:17ed2-001.svg]] | | |- |
| | | | '''Interval, complement''' |
| | | | '''Error (abs., in [[cent|cents]])''' |
| | |- |
| | | style="text-align:center;" | [[18/13|18/13]], [[13/9|13/9]] |
| | | style="text-align:center;" | 1.324 |
| | |- |
| | | style="text-align:center;" | [[13/12|13/12]], [[24/13|24/13]] |
| | | style="text-align:center;" | 2.604 |
| | |- |
| | | style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]] |
| | | style="text-align:center;" | 3.927 |
| | |- |
| | | style="text-align:center;" | [[11/9|11/9]], [[18/11|18/11]] |
| | | style="text-align:center;" | 5.533 |
| | |- |
| | | style="text-align:center;" | [[14/11|14/11]], [[11/7|11/7]] |
| | | style="text-align:center;" | 6.021 |
| | |- |
| | | style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]] |
| | | style="text-align:center;" | 6.531 |
| | |- |
| | | style="text-align:center;" | [[13/11|13/11]], [[22/13|22/13]] |
| | | style="text-align:center;" | 6.857 |
| | |- |
| | | style="text-align:center;" | [[9/8|9/8]], [[16/9|16/9]] |
| | | style="text-align:center;" | 7.855 |
| | |- |
| | | style="text-align:center;" | [[12/11|12/11]], [[11/6|11/6]] |
| | | style="text-align:center;" | 9.461 |
| | |- |
| | | style="text-align:center;" | [[9/7|9/7]], [[14/9|14/9]] |
| | | style="text-align:center;" | 11.555 |
| | |- |
| | | style="text-align:center;" | [[14/13|14/13]], [[13/7|13/7]] |
| | | style="text-align:center;" | 12.878 |
| | |- |
| | | style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]] |
| | | style="text-align:center;" | 13.388 |
| | |- |
| | | style="text-align:center;" | [[7/6|7/6]], [[12/7|12/7]] |
| | | style="text-align:center;" | 15.482 |
| | |- |
| | | style="text-align:center;" | [[7/5|7/5]], [[10/7|10/7]] |
| | | style="text-align:center;" | 17.806 |
| | |- |
| | | style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]] |
| | | style="text-align:center;" | 19.409 |
| | |- |
| | | style="text-align:center;" | [[15/14|15/14]], [[28/15|28/15]] |
| | | style="text-align:center;" | 21.734 |
| | |- |
| | | style="text-align:center;" | [[11/10|11/10]], [[20/11|20/11]] |
| | | style="text-align:center;" | 23.828 |
| | |- |
| | | style="text-align:center;" | [[15/11|15/11]], [[22/15|22/15]] |
| | | style="text-align:center;" | 27.755 |
| | |- |
| | | style="text-align:center;" | [[10/9|10/9]], [[9/5|9/5]] |
| | | style="text-align:center;" | 29.361 |
| | |- |
| | | style="text-align:center;" | [[16/15|16/15]], [[15/8|15/8]] |
| | | style="text-align:center;" | 29.445 |
| | |- |
| | | style="text-align:center;" | [[13/10|13/10]], [[20/13|20/13]] |
| | | style="text-align:center;" | 30.685 |
| | |- |
| | | style="text-align:center;" | [[6/5|6/5]], [[5/3|5/3]] |
| | | style="text-align:center;" | 33.288 |
| | |- |
| | | style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]] |
| | | style="text-align:center;" | 33.373 |
| | |- |
| | | style="text-align:center;" | [[15/13|15/13]], [[26/15|26/15]] |
| | | style="text-align:center;" | 34.612 |
| | |} |
|
| |
|
| =Commas=
| | [[File:17ed2-001.svg|alt=alt : Your browser has no SVG support.]] |
| 17 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes [[val]] < 17 27 39 48 59 63 |, cent values rounded to 5 digits.)
| |
| ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
| |
| ||= <span style="display: block; text-align: center;">
| |
| </span> || | 27 -17 > ||> 66.765 || <span style="display: block; text-align: center;">17-Comma</span> ||= || ||
| |
| ||= 25/24 || |-3 -1 2> ||> 70.762 || Chromatic semitone ||= Dicot comma || ||
| |
| ||= 32805/32768 ||< | -15 8 1 > ||> 1.9537 ||= Schisma ||= ||= ||
| |
| ||= 64/63 ||< | 6 -2 0 -1 > ||> 27.264 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
| |
| ||= 245/243 ||< | 0 -5 1 2 > ||> 14.191 ||= Sensamagic ||= ||= ||
| |
| ||= 1728/1715 ||< | 6 3 -1 -3 > ||> 13.074 ||= Orwellisma ||= Orwell Comma ||= ||
| |
| ||= ||< | -6 -8 2 5 > ||> 1.1170 ||= Wizma ||= ||= ||
| |
| ||= 99/98 ||< | -1 2 0 -2 1 > ||> 17.576 ||= Mothwellsma ||= ||= ||
| |
| ||= 896/891 ||< | 7 -4 0 1 -1 > ||> 9.6880 ||= Pentacircle ||= ||= ||
| |
| ||= 243/242 ||< | -1 5 0 0 -2 > ||> 7.1391 ||= Rastma ||= ||= ||
| |
| ||= 385/384 ||< | -7 -1 1 1 1 > ||> 4.5026 ||= Keenanisma ||= ||= ||
| |
| ||= <span style="display: block; text-align: center;">525/512</span> ||< <span style="display: block; text-align: left;">| -9 1 2 1 ></span> ||> 43.408 ||= <span style="display: block; text-align: center;">Avicennma</span> ||= Avicennma's Enharmonic Diesis ||= ||
| |
|
| |
|
| Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.
| | [[:File:17ed2-001.svg|17ed2-001.svg]] |
|
| |
|
| =Scales= | | =Commas= |
| * [[Otonal 17]]
| | 17 EDO [[tempering_out|tempers out]] the following [[Comma|comma]]s. (Note: This assumes [[val|val]] < 17 27 39 48 59 63 |, cent values rounded to 5 digits.) |
| * [[https://web.archive.org/web/20140215081520/http://microtonalismo.com/proyecto-xvii|Blues Peruvian 17edo]]
| |
| * [[17edo neutral scale]]
| |
| * [[Scorp]]
| |
| * [[Screamapillar]]
| |
| * [[Hydra]]
| |
| * [[MOS scales of 17edo]] (horograms)
| |
|
| |
|
| [[List of 17edo rank two temperaments by badness]]
| | {| class="wikitable" |
| [[List of edo-distinct 17c rank two temperaments]]
| | |- |
| | ! | Comma |
| | ! | Monzo |
| | ! | Value (Cents) |
| | ! | Name 1 |
| | ! | Name 2 |
| | ! | Name 3 |
| | |- |
| | | style="text-align:center;" | <span style="display: block; text-align: center;"> |
|
| |
|
| =Music= | | </span> |
| ==Compositions== | | | | | 27 -17 > |
| * [[@https://soundcloud.com/overtoneshock/demanding-two-faces-17-edo|Demanding Two Faces]] (xen-pop) by [[https://soundcloud.com/overtoneshock|Stephen Weigel]]
| | | style="text-align:right;" | 66.765 |
| * [[https://soundcloud.com/overtoneshock/where-were-you-during-the-apocalypse-17-edo|Where were you at the Apocalypse?]] (xen-pop) by [[https://soundcloud.com/overtoneshock|Stephen Weigel]]
| | | | <span style="display: block; text-align: center;">17-Comma</span> |
| * [[http://home.snafu.de/djwolf/PreludeIn17tet.pdf|Prelude]] by [[Daniel Wolf]]
| | | style="text-align:center;" | |
| * [[http://www.georghajdu.de/heptadecatonic_drops.html|Heptadecatonic Drops]] by Georg Hajdu
| | | | |
| * [[http://www.georghajdu.de/63.html?&L=1%20|Klangmoraste]] by Georg Hajdu
| | |- |
| * [[http://www.microtonalismo.com/proyecto-xvii|Charles Loli 17edo]] music for guitar heptadecatonic (2001) and armony inductive microtonaly (1993)
| | | style="text-align:center;" | 25/24 |
| * [[http://microtonalismo.com/|microtonalismo]] Heptadecatonic Peruvian
| | | | |-3 -1 2> |
| * [[Multiverse]] by [[JacobBarton|Jacob Barton]]
| | | style="text-align:right;" | 70.762 |
| | | | Chromatic semitone |
| | | style="text-align:center;" | Dicot comma |
| | | | |
| | |- |
| | | style="text-align:center;" | 32805/32768 |
| | | | | -15 8 1 > |
| | | style="text-align:right;" | 1.9537 |
| | | style="text-align:center;" | Schisma |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 64/63 |
| | | | | 6 -2 0 -1 > |
| | | style="text-align:right;" | 27.264 |
| | | style="text-align:center;" | Septimal Comma |
| | | style="text-align:center;" | Archytas' Comma |
| | | style="text-align:center;" | Leipziger Komma |
| | |- |
| | | style="text-align:center;" | 245/243 |
| | | | | 0 -5 1 2 > |
| | | style="text-align:right;" | 14.191 |
| | | style="text-align:center;" | Sensamagic |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 1728/1715 |
| | | | | 6 3 -1 -3 > |
| | | style="text-align:right;" | 13.074 |
| | | style="text-align:center;" | Orwellisma |
| | | style="text-align:center;" | Orwell Comma |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | |
| | | | | -6 -8 2 5 > |
| | | style="text-align:right;" | 1.1170 |
| | | style="text-align:center;" | Wizma |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 99/98 |
| | | | | -1 2 0 -2 1 > |
| | | style="text-align:right;" | 17.576 |
| | | style="text-align:center;" | Mothwellsma |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 896/891 |
| | | | | 7 -4 0 1 -1 > |
| | | style="text-align:right;" | 9.6880 |
| | | style="text-align:center;" | Pentacircle |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 243/242 |
| | | | | -1 5 0 0 -2 > |
| | | style="text-align:right;" | 7.1391 |
| | | style="text-align:center;" | Rastma |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | 385/384 |
| | | | | -7 -1 1 1 1 > |
| | | style="text-align:right;" | 4.5026 |
| | | style="text-align:center;" | Keenanisma |
| | | style="text-align:center;" | |
| | | style="text-align:center;" | |
| | |- |
| | | style="text-align:center;" | <span style="display: block; text-align: center;">525/512</span> |
| | | | <span style="display: block; text-align: left;">| -9 1 2 1 ></span> |
| | | style="text-align:right;" | 43.408 |
| | | style="text-align:center;" | <span style="display: block; text-align: center;">Avicennma</span> |
| | | style="text-align:center;" | Avicennma's Enharmonic Diesis |
| | | style="text-align:center;" | |
| | |} |
|
| |
|
| ==Sound files==
| | Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated. |
| * [[http://chrisvaisvil.com/shanidar-cave-17-edo/|Shanidar Cave]] is a piece in 17 edo that features an electric 17 edo guitar and what is essentially an electric tanpura which ends up making this a sort of fusion of middle eastern and Indian music in a sense. by[[@xenharmonic/Chris Vaisvil| Chris Vaisvil]]
| |
| * <span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><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">//[[https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure|Puhlops and Laugua's Big Adventure]]// </span></span> </span> by [[http://www.untwelve.org/board||Aaron Krister Johnson]]
| |
| * <span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><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">//[[https://soundcloud.com/aaron-krister-johnson/adagio-for-margo|Adagio for Margo]]// </span></span> </span> by [[http://www.untwelve.org/board|Aaron Krister Johnson]]
| |
| * <span class="ymp-btn-page-play ymp-media-cd2c0c4934993e036385ed158d0617c4"><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">//[[http://home.comcast.net/~teamouse/Transformation.mp3|Transformation]]// </span></span> </span> by [[http://home.comcast.net/%7Eteamouse/|Herman Miller]]
| |
| * <span class="ymp-btn-page-play ymp-media-c31e19054d7ac007c7b9b339babdd228"><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">//[[http://www.emcollective.org/chris/items/17tet/17waltz.mp3|Waltz]]// </span></span> </span> by Christopher Bailey
| |
| * <span class="ymp-btn-page-play ymp-media-817b931db5b9d03733d0439eb4c5b365"><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">//[[http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3|Lostfound]]// </span></span> </span> by Christopher Bailey
| |
| * excerpt from <span class="ymp-btn-page-play ymp-media-2de29bc81b3c87ba3015583ebe32228c"><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">//[[http://music.columbia.edu/~chris/sounds/balladei_exc.mp3|Balladei]]// </span></span> </span> (in 17, 29 and 12) by [[http://music.columbia.edu/%7Echris/|Christopher Bailey]] , CD available [[http://www.amazon.com/Christopher-Bailey-Shiau-Uen-Jacob-Rhodebeck/dp/B000TDZSAU/ref=sr_1_19/105-0183009-3913216?ie=UTF8&s=music&qid=1184598550&sr=1-19|here]] .
| |
| * <span class="ymp-btn-page-play ymp-media-60b300d674b6179dec2e49769bcd92d2"><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">//[[http://www.h-pi.com/mp3/17ET.mp3|Two-Part Invention in 17ET]]// </span></span></span> by Aaron Andrew Hunt
| |
| * //[[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/MSND-Ovtr.mp3|Overture to A Midsummer Night's Dream]]// by [[http://azuma-asobi.com/|Rick McGowan]]
| |
| * //[[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/FairyLullaby-1.mp3|Fairy Lullaby from A Midsummer Night's Dream]]// by [[http://azuma-asobi.com/|Rick McGowan]]
| |
| * <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2017-A%20Calamitous%20Simultaneity.mp3|A Calamitous Simultaneity]]// </span> by Igliashon Jones (17edo and 22edo)
| |
| * <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3|First Impressions]]// </span> by Igliashon Jones
| |
| * [[@http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3|I Insist]] by Igliashon Jones
| |
| * //[[http://archive.org/download/EtudeNo1For2PianosIn17EqualTemperament/EtudeForTwoPianosIn17edo.mp3|Etude no1 for 2 Pianos in 17 Equal Temperament]]// and //[[http://archive.org/download/EtudeNo2For2PianosIn17EqualTemperament/EtudeNo2ForTwoPianosIn17edo.mp3|Etude no2 for 2 Pianos in 17 Equal Temperament]]// Jon Lyle Smith
| |
| * A number of compositions from [[http://www.archive.org/details/seventeenTPP_01|seventeen-tone piano project phase I]] , [[SeventeenTPPPhaseTwo|seventeen-tone piano project phase II]], [[SeventeenTPPPhaseThree|seventeen-tone piano project phase III]].
| |
| * [[http://www.archive.org/search.php?query=subject%3A%2217-edo%22|17edo]] - 17edo-tagged compositions on www.archive.org
| |
| * [[http://soundclick.com/share?songid=8839072|sing a blue]] by Andrew Heathwaite (composed 2008, recorded 2010). This and the other pieces below by Andrew for cümbüş, steel tubes & voice.
| |
| * [[http://soundclick.com/share?songid=8839073|stringfinger it everybean]] by Andrew Heathwaite (composed 2008, recorded 2010).
| |
| * [[http://soundclick.com/share?songid=8839069|cat feet belly]] by Andrew Heathwaite (composed 2008, recorded 2010).
| |
| * <span class="ymp-btn-page-play ymp-media-c1117aea0d7479a1907922962588a201"><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">//[[http://www.youtube.com/watch?v=a9N_T6LNDaE|17 Tone Jam]]// </span></span></span> by Marmalade Man
| |
| * [[http://www.youtube.com/results?search_query=17edo&search=tag|youtube videos tagged with 17edo]]
| |
| * [[@http://chrisvaisvil.com/?p=784|On the Shores of the Dead Sea blog]] <span class="ymp-btn-page-play ymp-media-58c0d564107bea8b718066b4a846e9a4"><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">//[[http://www.youtube.com/watch?v=D39MVFhb0Ho|video of On the Shores of the Dead Sea]]// </span></span> </span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=466|Only in Disneyland 17 blog]] edo guitar solo <span class="ymp-btn-page-play ymp-media-ed57956200d2220e2dd400299c6c9d82"><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">//[[http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3|play Only in Disneyland]]// </span></span> </span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=460|17 Reasons I Hate the Blues blog]] <span class="ymp-btn-page-play ymp-media-b9bb77ee97249899bce1c2e34b7ca029"><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">//[[http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3|play 17 Reasons I Hate the Blues]]// </span></span> </span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=422|Klingon Opera Overture blog]] <span class="ymp-btn-page-play ymp-media-1270ddd333612c93cd386aaa93b59aba"><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">//[[http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3|play Klingon Opera Overture]]// </span></span> </span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=298|Seventeen Selfless Notes blog]] <span class="ymp-btn-page-play ymp-media-835371d8b0e3022bd14b58e3c0a6175a"><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">//[[http://micro.soonlabel.com/17-ET/if20101028selfless.mp3|play Seventeen Selfless Notes]]// </span></span> </span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=76|17ET Jazz blog]] <span class="ymp-btn-page-play ymp-media-b4292082727ce51de4e72ce8e860e140"><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">//[[http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3|play 17et Jazz]]// </span></span></span> by[[Chris Vaisvil| Chris Vaisvil]] (60 x 60 winner)
| |
| * [[http://chrisvaisvil.com/?p=742|17 Pink Tuxedos blog]] <span class="ymp-btn-page-play ymp-media-20284c23c4ce5614c44285891a72b2b9"><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">//[[http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3|play 17 Pink Tuxedos]]// </span></span></span> by [[Chris Vaisvil]]
| |
| * [[http://chrisvaisvil.com/?p=706|Devil in the Deep Blue Sea blog]] <span class="ymp-btn-page-play ymp-media-2b49237889b140316b82293bc4e5743c"><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">//[[http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3|play Devil in the Deep Blue sea]]// </span></span></span> blues collaboration between The Two Regs (vocals / lyrics) and Norm Harris (percussion) and Chris Vaisvil (17 note per octave electric guitar and fretless bass).
| |
| * [[http://chrisvaisvil.com/?p=585|Seventeen Years in the Sixties blog]] <span class="ymp-btn-page-play ymp-media-e59982cb3a388488ca0ccb733e7439e7"><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">//[[http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3|play Seventeen Years in the Sixties]]// </span></span></span> by [[Chris Vaisvil]]
| |
| * [[@http://chrisvaisvil.com/?p=699|CT Scan blog]] <span class="ymp-btn-page-play ymp-media-6c6c5ec192c22569d28c8dd09467c623"><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">//[[http://www.youtube.com/watch?v=ZEEuytYwtbo|play video CT Scan]]// </span></span></span> by Chris Vaisvil
| |
| * [[http://chrisvaisvil.com/?p=470|Fish and a Grenade blog]] <span class="ymp-btn-page-play ymp-media-d882886a0b66279c7c3aa180aacb7339"><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">//[[http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3|play Fish and a Grenade]]// </span></span></span> (parental advisory language) by Chris Vaisvil
| |
| * [[@http://chrisvaisvil.com/?p=550|Seventeen Unsteady Hands blog]] <span class="ymp-btn-page-play ymp-media-0623ec5592a422ce10eddb210d094b60"><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">//[[http://www.youtube.com/watch?v=rAKHCqBNhfc|play video of performance of Seventeen Unsteady Hands]]// </span></span></span> by Chris Vaisvil
| |
| * [[http://chrisvaisvil.com/?p=38|The Pond blog]] by Chris Vaisvil and <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><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">//[[@http://www.youtube.com/watch?v=25sC3_uheyA|video version of The Pond with Japanese Garden ]]// </span></span></span>
| |
| * <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164">[[@http://chrisvaisvil.com/?p=305|Graveyard blog]] </span><span class="ymp-btn-page-play ymp-media-7a8cb8e49c18c67a2ea8b60d80c25b21"><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">//[[http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3|play Graveyard]]// </span></span> </span> by Chris Vaisvil
| |
| * <span class="ymp-btn-page-play ymp-media-e13a9b281483c4b0a10ba321bb7cc2b4"><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">//[[http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3|For Brass and Voice Choirs in 17 edo]]// </span></span></span> by [[@http://chrisvaisvil.com/|Chris Vaisvil ]] [[@http://chrisvaisvil.com/?p=1039|more on the composition]]
| |
| * <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">//[[http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3|And I Became One With My Per Fungi]]// </span></span> by [[@http://chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1439|more on composition]]
| |
| * <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">//[[http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3|counterintuitive (17 edo guitar solo)]]// </span></span> by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1427|more on composition]]
| |
| * [[http://micro.soonlabel.com/gene_ward_smith/Others/Sanchez/No_Love_by_Gregory_Sanchez_1_on_SoundCloud___Hear_the_world_s_sounds.mp3|No Love]] by [[https://soundcloud.com/gregory-sanchez-2/no-love|Gregory Sanchez]]
| |
| * [[http://webzoom.freewebs.com/ralphjarzombek/micro7(17tet).mp3|Micro7]] by Ralph Jarzombek
| |
| * [[http://micro.soonlabel.com/17-ET/20161125_linn_speactral_17.MP3|Flying Into O'Hare]] by [[Chris Vaisvil]]
| |
| * [[@https://drive.google.com/drive/folders/0BwsXD8q2VCYUM0tRdDNhVzNhcHM|Helas, pitié]] by Alex Ness (in 17edo with stretched octaves)
| |
| | |
| =Instruments=
| |
| * ====**[[http://www.microtonalismo.com/proyecto-xvii|Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]]**====
| |
| > ====[[image:http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg width="706" height="249"]]====
| |
| | |
| * ====**[[http://www.microtonalismo.com/proyecto-xvii|Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]]**====
| |
| > ====[[image:http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg width="689" height="256"]]====
| |
|
| |
|
| * [[@http://chrisvaisvil.com/?p=436|17 note per octave conversion from a "standard" stratocastor copy]] - conversion by Brad Smith
| | =Scales= |
| | <ul><li>[[Otonal_17|Otonal 17]]</li><li>[https://web.archive.org/web/20140215081520/http://microtonalismo.com/proyecto-xvii Blues Peruvian 17edo]</li><li>[[17edo_neutral_scale|17edo neutral scale]]</li><li>[[Scorp|Scorp]]</li><li>[[Screamapillar|Screamapillar]]</li><li>[[Hydra|Hydra]]</li><li>[[MOS_scales_of_17edo|MOS scales of 17edo]] (horograms)</li></ul> |
|
| |
|
| [[image:17P1050829r.JPG]][[media type="custom" key="23473418"]]</pre></div> | | [[List_of_17edo_rank_two_temperaments_by_badness|List of 17edo rank two temperaments by badness]] |
| <h4>Original HTML content:</h4>
| |
| <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>17edo</title></head><body><span style="display: block; text-align: right;"><span style="color: #1300ff;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/17edo">Deutsch</a> - <a class="wiki_link" href="/17%E5%B9%B3%E5%9D%87%E5%BE%8B">日本語</a></span><br />
| |
| </span><br />
| |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="x17 tone equal temperament"></a><!-- ws:end:WikiTextHeadingRule:2 --><span style="color: #1300ff;">17 tone equal temperament</span></h1>
| |
| <!-- ws:start:WikiTextTocRule:32:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --><div style="margin-left: 1em;"><a href="#x17 tone equal temperament">17 tone equal temperament</a></div>
| |
| <!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --><div style="margin-left: 2em;"><a href="#x17 tone equal temperament-Theory">Theory</a></div>
| |
| <!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --><div style="margin-left: 1em;"><a href="#Intervals">Intervals</a></div>
| |
| <!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><div style="margin-left: 1em;"><a href="#Chord Names">Chord Names</a></div>
| |
| <!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --><div style="margin-left: 1em;"><a href="#Selected just intervals by error">Selected just intervals by error</a></div>
| |
| <!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --><div style="margin-left: 1em;"><a href="#Commas">Commas</a></div>
| |
| <!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --><div style="margin-left: 1em;"><a href="#Scales">Scales</a></div>
| |
| <!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><div style="margin-left: 1em;"><a href="#Music">Music</a></div>
| |
| <!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --><div style="margin-left: 2em;"><a href="#Music-Compositions">Compositions</a></div>
| |
| <!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --><div style="margin-left: 2em;"><a href="#Music-Sound files">Sound files</a></div>
| |
| <!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --><div style="margin-left: 1em;"><a href="#Instruments">Instruments</a></div>
| |
| <!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --><div style="margin-left: 4em;"><a href="#Instruments---Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani">Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></div>
| |
| <!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><div style="margin-left: 4em;"><a href="#toc12"></a></div>
| |
| <!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --><div style="margin-left: 4em;"><a href="#Instruments---Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani">Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></div>
| |
| <!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 4em;"><a href="#toc14"></a></div>
| |
| <!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --></div>
| |
| <!-- ws:end:WikiTextTocRule:48 --><strong>17-EDO</strong> divides the octave in 17 equal steps, each 70.588 <a class="wiki_link" href="/cent">cents</a> in size. It is the seventh <a class="wiki_link" href="/prime%20numbers">prime</a> edo, following <a class="wiki_link" href="/13edo">13edo</a> and coming before <a class="wiki_link" href="/19edo">19edo</a>.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc1"><a name="x17 tone equal temperament-Theory"></a><!-- ws:end:WikiTextHeadingRule:4 -->Theory</h2>
| |
| An introduction to 17-EDO theory, through the eyes of the <a class="wiki_link" href="/SeventeenTonePianoProject">SeventeenTonePianoProject</a>: <a class="wiki_link" href="/SeventeenTheory">SeventeenTheory</a>.<br />
| |
| Another introduction into 17-EDO theory: <a class="wiki_link_ext" href="http://xenharmony.wikispaces.com/space/showimage/17puzzle.pdf" rel="nofollow">The 17-tone Puzzle</a> by George Secor.<br />
| |
| <a class="wiki_link" href="/17edo%20Solfege">17edo Solfege</a>. <a class="wiki_link" href="/17edo%20tetrachords">17edo tetrachords</a>. <a class="wiki_link_ext" href="http://microtonalismo.com/proyecto-xvii" rel="nofollow">Proyect 17-Perú</a><br />
| |
| <br />
| |
| 17-EDO can plausibly be treated as a 2.3.25.7.11.13.23 subgroup temperament, for which it is quite accurate (though the 7-limit ratios are generally not as well-represented as those of the other integers). Because the 3, 7, 11, and 13 are all sharp, it adapts well to octave shrinking; <a class="wiki_link" href="/27edt">27edt</a> (a variant of 17edo in which the octaves are flattened by ~2.5 cents) is a good alternative. Another one is <a class="wiki_link" href="/44ed6">44ed6</a>.<br />
| |
| <br />
| |
| As a no-fives system, it is best used with timbres in which harmonic multiples of 5 are attenuated or absent. Also, the standard major chord (4:5:6) cannot be used since it includes the fifth harmonic.<br />
| |
| <br />
| |
| Instead, the tonic chords of 17-EDO could be considered to be the tetrad 6:7:8:9 and its utonal inversion, the former of which is a subminor chord with added fourth, and the latter a supermajor chord with added second (resembling the famous <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/Mu_chord" rel="nofollow">mu major chord</a> of Steely Dan fame). These are realized in 17-EDO as 0-4-7-10 and 0-3-6-10, respectively. Both of these have distinct moods, and are stable and consonant, if somewhat more sophisticated than their classic 5-limit counterparts. To this group we could also add the 0-3-7-10 (which is a sus4 with added second, or sus2 with added fourth). These three chords comprise the three ways to divide the 17-EDO perfect fifth into two whole tones and one subminor third. Chromatic alterations of them also exist, for example, the 0-3-7-10 chord may be altered to 0-2-7-10 (which approximates 12:13:16:18) or 0-3-8-10 (which approximates 8:9:11:12). The 0-3-8-10 chord is impressive-sounding, resembling a sus4 but with even more tension; it resolves quite nicely to 0-3-6-10.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc2"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:6 -->Intervals</h1>
| |
|
| |
|
| |
|
| <table class="wiki_table">
| | [[List_of_edo-distinct_17c_rank_two_temperaments|List of edo-distinct 17c rank two temperaments]] |
| <tr>
| |
| <th>Degree<br />
| |
| </th>
| |
| <th>Cents<br />
| |
| </th>
| |
| <th>Names ofIntervals<br />
| |
| </th>
| |
| <th colspan="3"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs </a><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">notation</a><br />
| |
| </th>
| |
| <th>ApproximateRatios*<br />
| |
| </th>
| |
| <th>Temperament(s)generated<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>0<br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| <td>Unison<br />
| |
| </td>
| |
| <td style="text-align: center;">unison<br />
| |
| </td>
| |
| <td style="text-align: center;">P1<br />
| |
| </td>
| |
| <td style="text-align: center;">C<br />
| |
| </td>
| |
| <td style="text-align: center;">1/1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>70.59<br />
| |
| </td>
| |
| <td>Super Unison/Minor Second<br />
| |
| </td>
| |
| <td style="text-align: center;">minor 2nd<br />
| |
| </td>
| |
| <td style="text-align: center;">m2<br />
| |
| </td>
| |
| <td style="text-align: center;">Db<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/25_24">25/24</a>, <a class="wiki_link" href="/26_25">26/25</a>, <a class="wiki_link" href="/33_32">33/32</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>141.18<br />
| |
| </td>
| |
| <td>Augmented Unison/Neutral Second<br />
| |
| </td>
| |
| <td style="text-align: center;">mid 2nd<br />
| |
| </td>
| |
| <td style="text-align: center;">~2<br />
| |
| </td>
| |
| <td style="text-align: center;">Dv<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_12">13/12</a>, <a class="wiki_link" href="/12_11">12/11</a>, <a class="wiki_link" href="/14_13">14/13</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Bleu">Bleu</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>211.765<br />
| |
| </td>
| |
| <td>Major Second/Sub Third<br />
| |
| </td>
| |
| <td style="text-align: center;">major 2nd<br />
| |
| </td>
| |
| <td style="text-align: center;">M2<br />
| |
| </td>
| |
| <td style="text-align: center;">D<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/9_8">9/8</a>, <a class="wiki_link" href="/25_22">25/22</a>, <a class="wiki_link" href="/8_7">8/7</a>, <a class="wiki_link" href="/28_25">28/25</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Machine">Machine</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>282.35<br />
| |
| </td>
| |
| <td>Minor Third/Super Second<br />
| |
| </td>
| |
| <td style="text-align: center;">minor 3rd<br />
| |
| </td>
| |
| <td style="text-align: center;">m3<br />
| |
| </td>
| |
| <td style="text-align: center;">Eb<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_11">13/11</a>, <a class="wiki_link" href="/75_64">75/64</a>, <a class="wiki_link" href="/7_6">7/6</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Huxley">Huxley</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>352.94<br />
| |
| </td>
| |
| <td>Augmented Second/Neutral Third/Diminished Fourth<br />
| |
| </td>
| |
| <td style="text-align: center;">mid 3rd<br />
| |
| </td>
| |
| <td style="text-align: center;">~3<br />
| |
| </td>
| |
| <td style="text-align: center;">Ev<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_9">11/9</a>, <a class="wiki_link" href="/16_13">16/13</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Maqamic">Maqamic</a>/<a class="wiki_link" href="/hemif">hemif</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>423.53<br />
| |
| </td>
| |
| <td>Major Third/Sub Fourth<br />
| |
| </td>
| |
| <td style="text-align: center;">major 3rd<br />
| |
| </td>
| |
| <td style="text-align: center;">M3<br />
| |
| </td>
| |
| <td style="text-align: center;">E<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/32_25">32/25</a>, <a class="wiki_link" href="/33_26">33/26</a>, <a class="wiki_link" href="/9_7">9/7</a>, <a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/51_40">51/40</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Skwares">Skwares</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>494.11<br />
| |
| </td>
| |
| <td>Perfect Fourth<br />
| |
| </td>
| |
| <td style="text-align: center;">perfect 4th<br />
| |
| </td>
| |
| <td style="text-align: center;">P4<br />
| |
| </td>
| |
| <td style="text-align: center;">F<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/4_3">4/3</a><br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Supra">Supra</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>564.71<br />
| |
| </td>
| |
| <td>Super FourthDiminished Fifth<br />
| |
| </td>
| |
| <td style="text-align: center;">up 4th,diminished 5th<br />
| |
| </td>
| |
| <td style="text-align: center;">^4, d5<br />
| |
| </td>
| |
| <td style="text-align: center;">F^, Gb<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_8">11/8</a>, 18/13<br />
| |
| </td>
| |
| <td><a class="wiki_link" href="/Progress">Progress</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>635.29<br />
| |
| </td>
| |
| <td>Augmented Fourth/Sub Fifth<br />
| |
| </td>
| |
| <td style="text-align: center;">augmented 4th,down 5th<br />
| |
| </td>
| |
| <td style="text-align: center;">A4, v5<br />
| |
| </td>
| |
| <td style="text-align: center;">F#, Gv<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/16_11">16/11</a>, 13/9, <a class="wiki_link" href="/23_16">23/16</a><br />
| |
| </td>
| |
| <td>Progress<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>705.88<br />
| |
| </td>
| |
| <td>Perfect Fifth<br />
| |
| </td>
| |
| <td style="text-align: center;">perfect 5th<br />
| |
| </td>
| |
| <td style="text-align: center;">P5<br />
| |
| </td>
| |
| <td style="text-align: center;">G<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/3_2">3/2</a><br />
| |
| </td>
| |
| <td>Supra<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>776.47<br />
| |
| </td>
| |
| <td>Super Fifth/Minor Sixth<br />
| |
| </td>
| |
| <td style="text-align: center;">minor 6th<br />
| |
| </td>
| |
| <td style="text-align: center;">m6<br />
| |
| </td>
| |
| <td style="text-align: center;">Ab<br />
| |
| </td>
| |
| <td style="text-align: center;">25/16, 52/33, 14/9, <a class="wiki_link" href="/11_7">11/7</a><br />
| |
| </td>
| |
| <td>Skwares<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>847.06<br />
| |
| </td>
| |
| <td>Augmented Fifth/Neutral Sixth/Diminished Seventh<br />
| |
| </td>
| |
| <td style="text-align: center;">mid 6th<br />
| |
| </td>
| |
| <td style="text-align: center;">~6<br />
| |
| </td>
| |
| <td style="text-align: center;">Av<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/13_8">13/8</a>, 18/11<br />
| |
| </td>
| |
| <td>Maqamic/hemif<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>917.65<br />
| |
| </td>
| |
| <td>Major Sixth/Sub Seventh<br />
| |
| </td>
| |
| <td style="text-align: center;">major 6th<br />
| |
| </td>
| |
| <td style="text-align: center;">M6<br />
| |
| </td>
| |
| <td style="text-align: center;">A<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/17_10">17/10</a>, <a class="wiki_link" href="/22_13">22/13</a>, 128/75, <a class="wiki_link" href="/12_7">12/7</a><br />
| |
| </td>
| |
| <td>Huxley<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>988.235<br />
| |
| </td>
| |
| <td>Minor Seventh/Super Sixth<br />
| |
| </td>
| |
| <td style="text-align: center;">minor 7th<br />
| |
| </td>
| |
| <td style="text-align: center;">m7<br />
| |
| </td>
| |
| <td style="text-align: center;">Bb<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/16_9">16/9</a>, 44/25, 7/4, 25/14<br />
| |
| </td>
| |
| <td>Machine<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>1058.82<br />
| |
| </td>
| |
| <td>Augmented Sixth/Neutral Seventh/Diminished Octave<br />
| |
| </td>
| |
| <td style="text-align: center;">mid 7th<br />
| |
| </td>
| |
| <td style="text-align: center;">~7<br />
| |
| </td>
| |
| <td style="text-align: center;">Bv<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/11_6">11/6</a>, 24/13, <a class="wiki_link" href="/13_7">13/7</a><br />
| |
| </td>
| |
| <td>Bleu<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>1129.41<br />
| |
| </td>
| |
| <td>Major Seventh/Sub Octave<br />
| |
| </td>
| |
| <td style="text-align: center;">major 7th<br />
| |
| </td>
| |
| <td style="text-align: center;">M7<br />
| |
| </td>
| |
| <td style="text-align: center;">B<br />
| |
| </td>
| |
| <td style="text-align: center;">25/13, 48/25, 64/33<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>1200<br />
| |
| </td>
| |
| <td>Perfect Octave<br />
| |
| </td>
| |
| <td style="text-align: center;">octave<br />
| |
| </td>
| |
| <td style="text-align: center;">P8<br />
| |
| </td>
| |
| <td style="text-align: center;">C<br />
| |
| </td>
| |
| <td style="text-align: center;"><a class="wiki_link" href="/2_1">2/1</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| Combining ups and downs notation with <a class="wiki_link" href="/Kite%27s%20color%20notation">color notation</a>, qualities can be loosely associated with colors:<br />
| | =Music= |
|
| |
|
| | ==Compositions== |
| | <ul><li>[https://soundcloud.com/overtoneshock/demanding-two-faces-17-edo Demanding Two Faces] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]</li><li>[https://soundcloud.com/overtoneshock/where-were-you-during-the-apocalypse-17-edo Where were you at the Apocalypse?] (xen-pop) by [https://soundcloud.com/overtoneshock Stephen Weigel]</li><li>[http://home.snafu.de/djwolf/PreludeIn17tet.pdf Prelude] by [[Daniel_Wolf|Daniel Wolf]]</li><li>[http://www.georghajdu.de/heptadecatonic_drops.html Heptadecatonic Drops] by Georg Hajdu</li><li>[http://www.georghajdu.de/63.html?&L=1%20 Klangmoraste] by Georg Hajdu</li><li>[http://www.microtonalismo.com/proyecto-xvii Charles Loli 17edo] music for guitar heptadecatonic (2001) and armony inductive microtonaly (1993)</li><li>[http://microtonalismo.com/ microtonalismo] Heptadecatonic Peruvian</li><li>[[Multiverse|Multiverse]] by [[JacobBarton|Jacob Barton]]</li></ul> |
|
| |
|
| <table class="wiki_table">
| | ==Sound files== |
| <tr>
| | <ul><li>[http://chrisvaisvil.com/shanidar-cave-17-edo/ Shanidar Cave] is a piece in 17 edo that features an electric 17 edo guitar and what is essentially an electric tanpura which ends up making this a sort of fusion of middle eastern and Indian music in a sense. by[[Chris_Vaisvil| Chris Vaisvil]]</li><li><span style=""><span style=""><span style="">''[https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure Puhlops and Laugua's Big Adventure]'' </span></span> </span> by [http://www.untwelve.org/board |Aaron Krister Johnson]</li><li><span style=""><span style=""><span style="">''[https://soundcloud.com/aaron-krister-johnson/adagio-for-margo Adagio for Margo]'' </span></span> </span> by [http://www.untwelve.org/board Aaron Krister Johnson]</li><li><span style=""><span style=""><span style="">''[http://home.comcast.net/~teamouse/Transformation.mp3 Transformation]'' </span></span> </span> by [http://home.comcast.net/%7Eteamouse/ Herman Miller]</li><li><span style=""><span style=""><span style="">''[http://www.emcollective.org/chris/items/17tet/17waltz.mp3 Waltz]'' </span></span> </span> by Christopher Bailey</li><li><span style=""><span style=""><span style="">''[http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3 Lostfound]'' </span></span> </span> by Christopher Bailey</li><li>excerpt from <span style=""><span style=""><span style="">''[http://music.columbia.edu/~chris/sounds/balladei_exc.mp3 Balladei]'' </span></span> </span> (in 17, 29 and 12) by [http://music.columbia.edu/%7Echris/ Christopher Bailey] , CD available [http://www.amazon.com/Christopher-Bailey-Shiau-Uen-Jacob-Rhodebeck/dp/B000TDZSAU/ref=sr_1_19/105-0183009-3913216?ie=UTF8&s=music&qid=1184598550&sr=1-19 here] .</li><li><span style=""><span style=""><span style="">''[http://www.h-pi.com/mp3/17ET.mp3 Two-Part Invention in 17ET]'' </span></span></span> by Aaron Andrew Hunt</li><li>''[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/MSND-Ovtr.mp3 Overture to A Midsummer Night's Dream]'' by [http://azuma-asobi.com/ Rick McGowan]</li><li>''[http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/FairyLullaby-1.mp3 Fairy Lullaby from A Midsummer Night's Dream]'' by [http://azuma-asobi.com/ Rick McGowan]</li><li><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/City%20Of%20The%20Asleep%20-%2017-A%20Calamitous%20Simultaneity.mp3 A Calamitous Simultaneity]'' </span> by Igliashon Jones (17edo and 22edo)</li><li><span style="">''[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/First%20Impressions.mp3 First Impressions]'' </span> by Igliashon Jones</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3 I Insist] by Igliashon Jones</li><li>''[http://archive.org/download/EtudeNo1For2PianosIn17EqualTemperament/EtudeForTwoPianosIn17edo.mp3 Etude no1 for 2 Pianos in 17 Equal Temperament]'' and ''[http://archive.org/download/EtudeNo2For2PianosIn17EqualTemperament/EtudeNo2ForTwoPianosIn17edo.mp3 Etude no2 for 2 Pianos in 17 Equal Temperament]'' Jon Lyle Smith</li><li>A number of compositions from [http://www.archive.org/details/seventeenTPP_01 seventeen-tone piano project phase I] , [[SeventeenTPPPhaseTwo|seventeen-tone piano project phase II]], [[SeventeenTPPPhaseThree|seventeen-tone piano project phase III]].</li><li>[http://www.archive.org/search.php?query=subject%3A%2217-edo%22 17edo] - 17edo-tagged compositions on www.archive.org</li><li>[http://soundclick.com/share?songid=8839072 sing a blue] by Andrew Heathwaite (composed 2008, recorded 2010). This and the other pieces below by Andrew for cümbüş, steel tubes & voice.</li><li>[http://soundclick.com/share?songid=8839073 stringfinger it everybean] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li>[http://soundclick.com/share?songid=8839069 cat feet belly] by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><span style=""><span style=""><span style="">''[http://www.youtube.com/watch?v=a9N_T6LNDaE 17 Tone Jam]'' </span></span></span> by Marmalade Man</li><li>[http://www.youtube.com/results?search_query=17edo&search=tag youtube videos tagged with 17edo]</li><li>[http://chrisvaisvil.com/?p=784 On the Shores of the Dead Sea blog] <span style=""><span style=""><span style="">''[http://www.youtube.com/watch?v=D39MVFhb0Ho video of On the Shores of the Dead Sea]'' </span></span> </span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=466 Only in Disneyland 17 blog] edo guitar solo <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3 play Only in Disneyland]'' </span></span> </span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=460 17 Reasons I Hate the Blues blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3 play 17 Reasons I Hate the Blues]'' </span></span> </span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=422 Klingon Opera Overture blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3 play Klingon Opera Overture]'' </span></span> </span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=298 Seventeen Selfless Notes blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/if20101028selfless.mp3 play Seventeen Selfless Notes]'' </span></span> </span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=76 17ET Jazz blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3 play 17et Jazz]'' </span></span></span> by[[Chris_Vaisvil| Chris Vaisvil]] (60 x 60 winner)</li><li>[http://chrisvaisvil.com/?p=742 17 Pink Tuxedos blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3 play 17 Pink Tuxedos]'' </span></span></span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=706 Devil in the Deep Blue Sea blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3 play Devil in the Deep Blue sea]'' </span></span></span> blues collaboration between The Two Regs (vocals / lyrics) and Norm Harris (percussion) and Chris Vaisvil (17 note per octave electric guitar and fretless bass).</li><li>[http://chrisvaisvil.com/?p=585 Seventeen Years in the Sixties blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3 play Seventeen Years in the Sixties]'' </span></span></span> by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[http://chrisvaisvil.com/?p=699 CT Scan blog] <span style=""><span style=""><span style="">''[http://www.youtube.com/watch?v=ZEEuytYwtbo play video CT Scan]'' </span></span></span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=470 Fish and a Grenade blog] <span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3 play Fish and a Grenade]'' </span></span></span> (parental advisory language) by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=550 Seventeen Unsteady Hands blog] <span style=""><span style=""><span style="">''[http://www.youtube.com/watch?v=rAKHCqBNhfc play video of performance of Seventeen Unsteady Hands]'' </span></span></span> by Chris Vaisvil</li><li>[http://chrisvaisvil.com/?p=38 The Pond blog] by Chris Vaisvil and <span style=""><span style=""><span style="">''[http://www.youtube.com/watch?v=25sC3_uheyA video version of The Pond with Japanese Garden ]'' </span></span></span></li><li><span style="">[http://chrisvaisvil.com/?p=305 Graveyard blog] </span><span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3 play Graveyard]'' </span></span> </span> by Chris Vaisvil</li><li><span style=""><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3 For Brass and Voice Choirs in 17 edo]'' </span></span></span> by [http://chrisvaisvil.com/ Chris Vaisvil ] [http://chrisvaisvil.com/?p=1039 more on the composition]</li><li><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3 And I Became One With My Per Fungi]'' </span></span> by [http://chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1439 more on composition]</li><li><span style=""><span style="">''[http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3 counterintuitive (17 edo guitar solo)]'' </span></span> by [http://www.chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1427 more on composition]</li><li>[http://micro.soonlabel.com/gene_ward_smith/Others/Sanchez/No_Love_by_Gregory_Sanchez_1_on_SoundCloud___Hear_the_world_s_sounds.mp3 No Love] by [https://soundcloud.com/gregory-sanchez-2/no-love Gregory Sanchez]</li><li>[http://webzoom.freewebs.com/ralphjarzombek/micro7(17tet).mp3 Micro7] by Ralph Jarzombek</li><li>[http://micro.soonlabel.com/17-ET/20161125_linn_speactral_17.MP3 Flying Into O'Hare] by [[Chris_Vaisvil|Chris Vaisvil]]</li><li>[https://drive.google.com/drive/folders/0BwsXD8q2VCYUM0tRdDNhVzNhcHM Helas, pitié] by Alex Ness (in 17edo with stretched octaves)</li></ul> |
| <th>quality<br />
| |
| </th>
| |
| <th>color<br />
| |
| </th>
| |
| <th>monzo format<br />
| |
| </th>
| |
| <th>examples<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">minor<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;">&quot;<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;">mid<br />
| |
| </td>
| |
| <td style="text-align: center;">jade<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, 0, 0, 1}<br />
| |
| </td>
| |
| <td style="text-align: center;">11/9, 11/6<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">&quot;<br />
| |
| </td>
| |
| <td style="text-align: center;">amber<br />
| |
| </td>
| |
| <td style="text-align: center;">{a, b, 0, 0, -1}<br />
| |
| </td>
| |
| <td style="text-align: center;">12/11, 18/11<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">major<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;">&quot;<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 />
| | =Instruments= |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc3"><a name="Chord Names"></a><!-- ws:end:WikiTextHeadingRule:8 -->Chord Names</h1>
| | <ul><li> |
| <br />
| | ===='''[http://www.microtonalismo.com/proyecto-xvii Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]'''==== |
| All 17edo chords can be named using ups and downs. Here are the blue, jade and red triads:<br />
| |
|
| |
|
| | ==== |
|
| |
|
| <table class="wiki_table">
| | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> |
| <tr>
| | External image: http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg<br> |
| <th>color of the 3rd<br />
| | : <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br> |
| </th>
| | : <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small> |
| <th>JI chord<br />
| | </div> |
| </th>
| | [[Category:IMPORTDEBUG - Change External Images]] |
| <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;">0-4-10<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;">jade<br />
| |
| </td>
| |
| <td style="text-align: center;">18:22:27<br />
| |
| </td>
| |
| <td style="text-align: center;">0-5-10<br />
| |
| </td>
| |
| <td style="text-align: center;">C Ev G<br />
| |
| </td>
| |
| <td style="text-align: center;">C~<br />
| |
| </td>
| |
| <td style="text-align: center;">C mid<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;">0-6-10<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>
| |
| </table>
| |
|
| |
|
| <br />
| | ==== |
| 0-4-9 = C Eb Gv = Cm(v5) = C minor down-five<br />
| | </li></ul> |
| 0-5-9 = C Ev G = C~(v5) = C mid down-five<br />
| |
| 0-6-11 = C E G^ = C(^5) = C up-five<br />
| |
| <br />
| |
| 0-4-10-14 = C Eb G Bb = Cm7 = C minor seven<br />
| |
| 0-5-10-14 = C Ev G Bb = C7(~3) = C seven mid-three<br />
| |
| 0-6-10-15 = C E G Bv = C,~7 = C mid seven<br />
| |
| 0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven<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:10:&lt;h1&gt; --><h1 id="toc4"><a name="Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:10 -->Selected just intervals by error</h1>
| |
| The following table shows how <a class="wiki_link" href="/Just-24">some prominent just intervals</a> are represented in 17edo (ordered by absolute error).<br />
| |
|
| |
|
| | <ul><li> |
| | ===='''[http://www.microtonalismo.com/proyecto-xvii Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani]'''==== |
|
| |
|
| <table class="wiki_table">
| | ==== |
| <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="/18_13">18/13</a>, <a class="wiki_link" href="/13_9">13/9</a><br />
| |
| </td>
| |
| <td style="text-align: center;">1.324<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;">2.604<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;">3.927<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;">5.533<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;">6.021<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;">6.531<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;">6.857<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;">7.855<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;">9.461<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;">11.555<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;">12.878<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;">13.388<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;">15.482<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;">17.806<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;">19.409<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;">21.734<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;">23.828<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;">27.755<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;">29.361<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;">29.445<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;">30.685<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;">33.288<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;">33.373<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;">34.612<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | <div class='external-image-warning' style='background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block'> |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/24810186?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;24810186&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><object id="example" type="image/svg+xml" data="http://xenharmonic.wikispaces.com/file/view/17ed2-001.svg">alt : Your browser has no SVG support.</object><!-- ws:end:WikiTextMediaRule:0 --><br />
| | External image: http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg<br> |
| <!-- ws:start:WikiTextFileRule:992:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/17ed2-001.svg?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@17ed2-001.svg&quot; title=&quot;File: 17ed2-001.svg&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/17ed2-001.svg/480990638/17ed2-001.svg');"><img src="http://www.wikispaces.com/i/mime/32/empty.png" height="32" width="32" alt="17ed2-001.svg" /></a><div><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg" onclick="ws.common.trackFileLink('/file/view/17ed2-001.svg/480990638/17ed2-001.svg');" class="filename" title="17ed2-001.svg">17ed2-001.svg</a><br /><ul><li><a href="/file/detail/17ed2-001.svg">Details</a></li><li><a href="/file/view/17ed2-001.svg/480990638/17ed2-001.svg">Download</a></li><li style="color: #666">19 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:992 --><br />
| | : <small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br> |
| <br />
| | : <small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small> |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc5"><a name="Commas"></a><!-- ws:end:WikiTextHeadingRule:12 -->Commas</h1>
| | </div> |
| 17 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes <a class="wiki_link" href="/val">val</a> &lt; 17 27 39 48 59 63 |, cent values rounded to 5 digits.)<br />
| | [[Category:IMPORTDEBUG - Change External Images]] |
|
| |
|
| | ==== |
| | </li></ul> |
|
| |
|
| <table class="wiki_table">
| | <ul><li>[http://chrisvaisvil.com/?p=436 17 note per octave conversion from a "standard" stratocastor copy] - conversion by Brad Smith</li></ul> |
| <tr>
| |
| <th>Comma<br />
| |
| </th>
| |
| <th>Monzo<br />
| |
| </th>
| |
| <th>Value (Cents)<br />
| |
| </th>
| |
| <th>Name 1<br />
| |
| </th>
| |
| <th>Name 2<br />
| |
| </th>
| |
| <th>Name 3<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;"><br />
| |
| </span><br />
| |
| </td>
| |
| <td>| 27 -17 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">66.765<br />
| |
| </td>
| |
| <td><span style="display: block; text-align: center;">17-Comma</span><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">25/24<br />
| |
| </td>
| |
| <td>|-3 -1 2&gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">70.762<br />
| |
| </td>
| |
| <td>Chromatic semitone<br />
| |
| </td>
| |
| <td style="text-align: center;">Dicot comma<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">32805/32768<br />
| |
| </td>
| |
| <td style="text-align: left;">| -15 8 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">1.9537<br />
| |
| </td>
| |
| <td style="text-align: center;">Schisma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">64/63<br />
| |
| </td>
| |
| <td style="text-align: left;">| 6 -2 0 -1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">27.264<br />
| |
| </td>
| |
| <td style="text-align: center;">Septimal Comma<br />
| |
| </td>
| |
| <td style="text-align: center;">Archytas' Comma<br />
| |
| </td>
| |
| <td style="text-align: center;">Leipziger Komma<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">245/243<br />
| |
| </td>
| |
| <td style="text-align: left;">| 0 -5 1 2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">14.191<br />
| |
| </td>
| |
| <td style="text-align: center;">Sensamagic<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">1728/1715<br />
| |
| </td>
| |
| <td style="text-align: left;">| 6 3 -1 -3 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">13.074<br />
| |
| </td>
| |
| <td style="text-align: center;">Orwellisma<br />
| |
| </td>
| |
| <td style="text-align: center;">Orwell Comma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: left;">| -6 -8 2 5 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">1.1170<br />
| |
| </td>
| |
| <td style="text-align: center;">Wizma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">99/98<br />
| |
| </td>
| |
| <td style="text-align: left;">| -1 2 0 -2 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">17.576<br />
| |
| </td>
| |
| <td style="text-align: center;">Mothwellsma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><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;">9.6880<br />
| |
| </td>
| |
| <td style="text-align: center;">Pentacircle<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">243/242<br />
| |
| </td>
| |
| <td style="text-align: left;">| -1 5 0 0 -2 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">7.1391<br />
| |
| </td>
| |
| <td style="text-align: center;">Rastma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">385/384<br />
| |
| </td>
| |
| <td style="text-align: left;">| -7 -1 1 1 1 &gt;<br />
| |
| </td>
| |
| <td style="text-align: right;">4.5026<br />
| |
| </td>
| |
| <td style="text-align: center;">Keenanisma<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;">525/512</span><br />
| |
| </td>
| |
| <td style="text-align: left;"><span style="display: block; text-align: left;">| -9 1 2 1 &gt;</span><br />
| |
| </td>
| |
| <td style="text-align: right;">43.408<br />
| |
| </td>
| |
| <td style="text-align: center;"><span style="display: block; text-align: center;">Avicennma</span><br />
| |
| </td>
| |
| <td style="text-align: center;">Avicennma's Enharmonic Diesis<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| <br />
| | [[File:17P1050829r.JPG|alt=17P1050829r.JPG|17P1050829r.JPG]] [[Category:17edo]] |
| Note that despite their relatively large size, the 17-comma, the avicennma and the chromatic semitone are all tempered out by the 13-limit patent val, as stated.<br />
| | [[Category:edo]] |
| <br />
| | [[Category:listen]] |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc6"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:14 -->Scales</h1>
| | [[Category:prime_edo]] |
| <ul><li><a class="wiki_link" href="/Otonal%2017">Otonal 17</a></li><li><a class="wiki_link_ext" href="https://web.archive.org/web/20140215081520/http://microtonalismo.com/proyecto-xvii" rel="nofollow">Blues Peruvian 17edo</a></li><li><a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a></li><li><a class="wiki_link" href="/Scorp">Scorp</a></li><li><a class="wiki_link" href="/Screamapillar">Screamapillar</a></li><li><a class="wiki_link" href="/Hydra">Hydra</a></li><li><a class="wiki_link" href="/MOS%20scales%20of%2017edo">MOS scales of 17edo</a> (horograms)</li></ul><br />
| | [[Category:pythagorean]] |
| <a class="wiki_link" href="/List%20of%2017edo%20rank%20two%20temperaments%20by%20badness">List of 17edo rank two temperaments by badness</a><br />
| | [[Category:teentuning]] |
| <a class="wiki_link" href="/List%20of%20edo-distinct%2017c%20rank%20two%20temperaments">List of edo-distinct 17c rank two temperaments</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc7"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:16 -->Music</h1>
| |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Music-Compositions"></a><!-- ws:end:WikiTextHeadingRule:18 -->Compositions</h2>
| |
| <ul><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/demanding-two-faces-17-edo" rel="nofollow" target="_blank">Demanding Two Faces</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock/where-were-you-during-the-apocalypse-17-edo" rel="nofollow">Where were you at the Apocalypse?</a> (xen-pop) by <a class="wiki_link_ext" href="https://soundcloud.com/overtoneshock" rel="nofollow">Stephen Weigel</a></li><li><a class="wiki_link_ext" href="http://home.snafu.de/djwolf/PreludeIn17tet.pdf" rel="nofollow">Prelude</a> by <a class="wiki_link" href="/Daniel%20Wolf">Daniel Wolf</a></li><li><a class="wiki_link_ext" href="http://www.georghajdu.de/heptadecatonic_drops.html" rel="nofollow">Heptadecatonic Drops</a> by Georg Hajdu</li><li><a class="wiki_link_ext" href="http://www.georghajdu.de/63.html?&amp;L=1%20" rel="nofollow">Klangmoraste</a> by Georg Hajdu</li><li><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Charles Loli 17edo</a> music for guitar heptadecatonic (2001) and armony inductive microtonaly (1993)</li><li><a class="wiki_link_ext" href="http://microtonalismo.com/" rel="nofollow">microtonalismo</a> Heptadecatonic Peruvian</li><li><a class="wiki_link" href="/Multiverse">Multiverse</a> by <a class="wiki_link" href="/JacobBarton">Jacob Barton</a></li></ul><br />
| |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h2&gt; --><h2 id="toc9"><a name="Music-Sound files"></a><!-- ws:end:WikiTextHeadingRule:20 -->Sound files</h2>
| |
| <ul><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/shanidar-cave-17-edo/" rel="nofollow">Shanidar Cave</a> is a piece in 17 edo that features an electric 17 edo guitar and what is essentially an electric tanpura which ends up making this a sort of fusion of middle eastern and Indian music in a sense. by<a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil" target="_blank"> Chris Vaisvil</a></li><li><span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><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"><em><a class="wiki_link_ext" href="https://soundcloud.com/aaron-krister-johnson/puhlops-and-lauguas-big-adventure" rel="nofollow">Puhlops and Laugua's Big Adventure</a></em> </span></span> </span> by <a class="wiki_link_ext" href="http://www.untwelve.org/board" rel="nofollow">|Aaron Krister Johnson</a></li><li><span class="ymp-btn-page-play ymp-media-3ece313d36e9307c749e0e3549ece422"><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"><em><a class="wiki_link_ext" href="https://soundcloud.com/aaron-krister-johnson/adagio-for-margo" rel="nofollow">Adagio for Margo</a></em> </span></span> </span> by <a class="wiki_link_ext" href="http://www.untwelve.org/board" rel="nofollow">Aaron Krister Johnson</a></li><li><span class="ymp-btn-page-play ymp-media-cd2c0c4934993e036385ed158d0617c4"><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"><em><a class="wiki_link_ext" href="http://home.comcast.net/~teamouse/Transformation.mp3" rel="nofollow">Transformation</a></em> </span></span> </span> by <a class="wiki_link_ext" href="http://home.comcast.net/%7Eteamouse/" rel="nofollow">Herman Miller</a></li><li><span class="ymp-btn-page-play ymp-media-c31e19054d7ac007c7b9b339babdd228"><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"><em><a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/17tet/17waltz.mp3" rel="nofollow">Waltz</a></em> </span></span> </span> by Christopher Bailey</li><li><span class="ymp-btn-page-play ymp-media-817b931db5b9d03733d0439eb4c5b365"><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"><em><a class="wiki_link_ext" href="http://www.emcollective.org/chris/items/17Chorus/17tppp4_lostfound.mp3" rel="nofollow">Lostfound</a></em> </span></span> </span> by Christopher Bailey</li><li>excerpt from <span class="ymp-btn-page-play ymp-media-2de29bc81b3c87ba3015583ebe32228c"><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"><em><a class="wiki_link_ext" href="http://music.columbia.edu/~chris/sounds/balladei_exc.mp3" rel="nofollow">Balladei</a></em> </span></span> </span> (in 17, 29 and 12) by <a class="wiki_link_ext" href="http://music.columbia.edu/%7Echris/" rel="nofollow">Christopher Bailey</a> , CD available <a class="wiki_link_ext" href="http://www.amazon.com/Christopher-Bailey-Shiau-Uen-Jacob-Rhodebeck/dp/B000TDZSAU/ref=sr_1_19/105-0183009-3913216?ie=UTF8&amp;s=music&amp;qid=1184598550&amp;sr=1-19" rel="nofollow">here</a> .</li><li><span class="ymp-btn-page-play ymp-media-60b300d674b6179dec2e49769bcd92d2"><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"><em><a class="wiki_link_ext" href="http://www.h-pi.com/mp3/17ET.mp3" rel="nofollow">Two-Part Invention in 17ET</a></em> </span></span></span> by Aaron Andrew Hunt</li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/MSND-Ovtr.mp3" rel="nofollow">Overture to A Midsummer Night's Dream</a></em> by <a class="wiki_link_ext" href="http://azuma-asobi.com/" rel="nofollow">Rick McGowan</a></li><li><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/McGowan/FairyLullaby-1.mp3" rel="nofollow">Fairy Lullaby from A Midsummer Night's Dream</a></em> by <a class="wiki_link_ext" href="http://azuma-asobi.com/" rel="nofollow">Rick McGowan</a></li><li><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/Igs/City%20Of%20The%20Asleep%20-%2017-A%20Calamitous%20Simultaneity.mp3" rel="nofollow">A Calamitous Simultaneity</a></em> </span> by Igliashon Jones (17edo and 22edo)</li><li><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/Igs/First%20Impressions.mp3" rel="nofollow">First Impressions</a></em> </span> by Igliashon Jones</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Igs/I%20Insist.mp3" rel="nofollow" target="_blank">I Insist</a> by Igliashon Jones</li><li><em><a class="wiki_link_ext" href="http://archive.org/download/EtudeNo1For2PianosIn17EqualTemperament/EtudeForTwoPianosIn17edo.mp3" rel="nofollow">Etude no1 for 2 Pianos in 17 Equal Temperament</a></em> and <em><a class="wiki_link_ext" href="http://archive.org/download/EtudeNo2For2PianosIn17EqualTemperament/EtudeNo2ForTwoPianosIn17edo.mp3" rel="nofollow">Etude no2 for 2 Pianos in 17 Equal Temperament</a></em> Jon Lyle Smith</li><li>A number of compositions from <a class="wiki_link_ext" href="http://www.archive.org/details/seventeenTPP_01" rel="nofollow">seventeen-tone piano project phase I</a> , <a class="wiki_link" href="/SeventeenTPPPhaseTwo">seventeen-tone piano project phase II</a>, <a class="wiki_link" href="/SeventeenTPPPhaseThree">seventeen-tone piano project phase III</a>.</li><li><a class="wiki_link_ext" href="http://www.archive.org/search.php?query=subject%3A%2217-edo%22" rel="nofollow">17edo</a> - 17edo-tagged compositions on www.archive.org</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839072" rel="nofollow">sing a blue</a> by Andrew Heathwaite (composed 2008, recorded 2010). This and the other pieces below by Andrew for cümbüş, steel tubes &amp; voice.</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839073" rel="nofollow">stringfinger it everybean</a> by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><a class="wiki_link_ext" href="http://soundclick.com/share?songid=8839069" rel="nofollow">cat feet belly</a> by Andrew Heathwaite (composed 2008, recorded 2010).</li><li><span class="ymp-btn-page-play ymp-media-c1117aea0d7479a1907922962588a201"><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"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=a9N_T6LNDaE" rel="nofollow">17 Tone Jam</a></em> </span></span></span> by Marmalade Man</li><li><a class="wiki_link_ext" href="http://www.youtube.com/results?search_query=17edo&amp;search=tag" rel="nofollow">youtube videos tagged with 17edo</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=784" rel="nofollow" target="_blank">On the Shores of the Dead Sea blog</a> <span class="ymp-btn-page-play ymp-media-58c0d564107bea8b718066b4a846e9a4"><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"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=D39MVFhb0Ho" rel="nofollow">video of On the Shores of the Dead Sea</a></em> </span></span> </span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=466" rel="nofollow" target="_blank">Only in Disneyland 17 blog</a> edo guitar solo <span class="ymp-btn-page-play ymp-media-ed57956200d2220e2dd400299c6c9d82"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110205-17et-disneyland.mp3" rel="nofollow">play Only in Disneyland</a></em> </span></span> </span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=460" rel="nofollow" target="_blank">17 Reasons I Hate the Blues blog</a> <span class="ymp-btn-page-play ymp-media-b9bb77ee97249899bce1c2e34b7ca029"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110125b-17-reasons-I-hate-the-blues.mp3" rel="nofollow">play 17 Reasons I Hate the Blues</a></em> </span></span> </span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=422" rel="nofollow" target="_blank">Klingon Opera Overture blog</a> <span class="ymp-btn-page-play ymp-media-1270ddd333612c93cd386aaa93b59aba"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110109-albino-17et.mp3" rel="nofollow">play Klingon Opera Overture</a></em> </span></span> </span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=298" rel="nofollow" target="_blank">Seventeen Selfless Notes blog</a> <span class="ymp-btn-page-play ymp-media-835371d8b0e3022bd14b58e3c0a6175a"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/if20101028selfless.mp3" rel="nofollow">play Seventeen Selfless Notes</a></em> </span></span> </span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=76" rel="nofollow" target="_blank">17ET Jazz blog</a> <span class="ymp-btn-page-play ymp-media-b4292082727ce51de4e72ce8e860e140"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/60x60-4001-1-ver2.mp3" rel="nofollow">play 17et Jazz</a></em> </span></span></span> by<a class="wiki_link" href="/Chris%20Vaisvil"> Chris Vaisvil</a> (60 x 60 winner)</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=742" rel="nofollow">17 Pink Tuxedos blog</a> <span class="ymp-btn-page-play ymp-media-20284c23c4ce5614c44285891a72b2b9"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110416-17_pink-tuxes.mp3" rel="nofollow">play 17 Pink Tuxedos</a></em> </span></span></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=706" rel="nofollow">Devil in the Deep Blue Sea blog</a> <span class="ymp-btn-page-play ymp-media-2b49237889b140316b82293bc4e5743c"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110401-17-2-devil_in_the_deep_blue_sea.mp3" rel="nofollow">play Devil in the Deep Blue sea</a></em> </span></span></span> blues collaboration between The Two Regs (vocals / lyrics) and Norm Harris (percussion) and Chris Vaisvil (17 note per octave electric guitar and fretless bass).</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=585" rel="nofollow">Seventeen Years in the Sixties blog</a> <span class="ymp-btn-page-play ymp-media-e59982cb3a388488ca0ccb733e7439e7"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110318-seventeen-years-in-the-sixties.mp3" rel="nofollow">play Seventeen Years in the Sixties</a></em> </span></span></span> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=699" rel="nofollow" target="_blank">CT Scan blog</a> <span class="ymp-btn-page-play ymp-media-6c6c5ec192c22569d28c8dd09467c623"><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"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=ZEEuytYwtbo" rel="nofollow">play video CT Scan</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=470" rel="nofollow">Fish and a Grenade blog</a> <span class="ymp-btn-page-play ymp-media-d882886a0b66279c7c3aa180aacb7339"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110208-17-a-fish-and-a-grenade.mp3" rel="nofollow">play Fish and a Grenade</a></em> </span></span></span> (parental advisory language) by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=550" rel="nofollow" target="_blank">Seventeen Unsteady Hands blog</a> <span class="ymp-btn-page-play ymp-media-0623ec5592a422ce10eddb210d094b60"><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"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=rAKHCqBNhfc" rel="nofollow">play video of performance of Seventeen Unsteady Hands</a></em> </span></span></span> by Chris Vaisvil</li><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=38" rel="nofollow">The Pond blog</a> by Chris Vaisvil and <span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><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"><em><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=25sC3_uheyA" rel="nofollow" target="_blank">video version of The Pond with Japanese Garden </a></em> </span></span></span></li><li><span class="ymp-btn-page-play ymp-media-ad53e2e57d0cedd582013ae5cdd29164"><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=305" rel="nofollow" target="_blank">Graveyard blog</a> </span><span class="ymp-btn-page-play ymp-media-7a8cb8e49c18c67a2ea8b60d80c25b21"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/if20101028-graveyard.mp3" rel="nofollow">play Graveyard</a></em> </span></span> </span> by Chris Vaisvil</li><li><span class="ymp-btn-page-play ymp-media-e13a9b281483c4b0a10ba321bb7cc2b4"><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20110713_q49_17_brass_voice_choirs.mp3" rel="nofollow">For Brass and Voice Choirs in 17 edo</a></em> </span></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil </a> <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1039" rel="nofollow" target="_blank">more on the composition</a></li><li><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/daily20111015-fungi.mp3" rel="nofollow">And I Became One With My Per Fungi</a></em> </span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1439" rel="nofollow" target="_blank">more on composition</a></li><li><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/20111014-STE-002-counter-intuitive.mp3" rel="nofollow">counterintuitive (17 edo guitar solo)</a></em> </span></span> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1427" rel="nofollow" target="_blank">more on composition</a></li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Sanchez/No_Love_by_Gregory_Sanchez_1_on_SoundCloud___Hear_the_world_s_sounds.mp3" rel="nofollow">No Love</a> by <a class="wiki_link_ext" href="https://soundcloud.com/gregory-sanchez-2/no-love" rel="nofollow">Gregory Sanchez</a></li><li><a class="wiki_link_ext" href="http://webzoom.freewebs.com/ralphjarzombek/micro7(17tet).mp3" rel="nofollow">Micro7</a> by Ralph Jarzombek</li><li><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/20161125_linn_speactral_17.MP3" rel="nofollow">Flying Into O'Hare</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a></li><li><a class="wiki_link_ext" href="https://drive.google.com/drive/folders/0BwsXD8q2VCYUM0tRdDNhVzNhcHM" rel="nofollow" target="_blank">Helas, pitié</a> by Alex Ness (in 17edo with stretched octaves)</li></ul><br />
| |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc10"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:22 -->Instruments</h1>
| |
| <ul><li><!-- ws:start:WikiTextHeadingRule:24:&lt;h4&gt; --><h4 id="toc11"><a name="Instruments---Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:24 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Guitar Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4>
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h4&gt; --><h4 id="toc12"><!-- ws:end:WikiTextHeadingRule:26 --><!-- ws:start:WikiTextRemoteImageRule:990:&lt;img src=&quot;http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 249px; width: 706px;&quot; /&gt; --><img src="http://sphotos.ak.fbcdn.net/hphotos-ak-snc4/hs883.snc4/71639_167001659983806_100000219181856_601995_1526184_n.jpg" alt="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" title="external image 71639_167001659983806_100000219181856_601995_1526184_n.jpg" style="height: 249px; width: 706px;" /><!-- ws:end:WikiTextRemoteImageRule:990 --></h4>
| |
| </li></ul><br />
| |
| <ul><li><!-- ws:start:WikiTextHeadingRule:28:&lt;h4&gt; --><h4 id="toc13"><a name="Instruments---Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani"></a><!-- ws:end:WikiTextHeadingRule:28 --><strong><a class="wiki_link_ext" href="http://www.microtonalismo.com/proyecto-xvii" rel="nofollow">Bass Heptadecatonic from Peruvian - Charles Loli and Antonio Huamani</a></strong></h4>
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h4&gt; --><h4 id="toc14"><!-- ws:end:WikiTextHeadingRule:30 --><!-- ws:start:WikiTextRemoteImageRule:991:&lt;img src=&quot;http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 256px; width: 689px;&quot; /&gt; --><img src="http://sphotos.ak.fbcdn.net/hphotos-ak-ash2/hs382.ash2/66019_167001006650538_100000219181856_601987_48585_n.jpg" alt="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" title="external image 66019_167001006650538_100000219181856_601987_48585_n.jpg" style="height: 256px; width: 689px;" /><!-- ws:end:WikiTextRemoteImageRule:991 --></h4>
| |
| </li></ul><br />
| |
| <ul><li><a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=436" rel="nofollow" target="_blank">17 note per octave conversion from a &quot;standard&quot; stratocastor copy</a> - conversion by Brad Smith</li></ul><br />
| |
| <!-- ws:start:WikiTextLocalImageRule:989:&lt;img src=&quot;/file/view/17P1050829r.JPG/199154192/17P1050829r.JPG&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/17P1050829r.JPG/199154192/17P1050829r.JPG" alt="17P1050829r.JPG" title="17P1050829r.JPG" /><!-- ws:end:WikiTextLocalImageRule:989 --><!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/23473418?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;23473418&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player-beta.js">
| |
| </script><!-- ws:end:WikiTextMediaRule:1 --></body></html></pre></div>
| |