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ED5: Difference between revisions

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|[[180ed5]]
|[[180ed5]]
|
|
|Same ~7.4 cent octave stretch as 30ed5~13edo, but really matches the tuning with generator 2\155 of an octave.
|Same 7.4 cent octave stretch as 30ed5~13edo, but really matches the tuning with generator 2\155 of an octave.
|-
|-
| | [[181ed5]]
| | [[181ed5]]
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|[[182ed5]]
|[[182ed5]]
|
|
|Same ~5.9 cent octave compression as 91ed5~39edo, but really matches the tuning with generator 5\392 of an octave.
|Same 5.9 cent octave compression as 91ed5~39edo, but really matches the tuning with generator 5\392 of an octave.
|-
|-
|[[183ed5]]
|[[183ed5]]
Line 1,342: Line 1,342:
| | [[112edo]]
| | [[112edo]]
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals match through the 47-limit, with the exception of 3.
| | Same 0.26 cent octave stretch as 65ed5~28edo. Patent vals match through the 47-limit, with the exception of 3.
|-
|[[261ed5]]
|
|Every other note of [[225edo]], getting ~.009 cent sharpter as it ascends the scale
|-
|[[262ed5]]
|[[113edo]]
|262ed5 is 113edo with ~1.7 cent stretched octaves. Patent vals match through the 13-limit with the exception of 11.
|-
|[[263ed5]]
|
|Every fourth note of [[453edo]], getting ~.002 cent flatter as it ascends the scale
|-
|[[264ed5]]
|
|Same 3.2 cent octave stretch as 44ed5~19edo, but actually matches the tuning with generator 3/341 of an octave.
|-
|[[265ed5]]
|[[114edo]]
|265edo is 114edo with ~2.2 cent compressed octaves. Patent vals match through the 43-limit, with the exception of 11, 19 and 37.
|-
|[[266ed5]]
|
|Every other note of [[229edo]], getting ~.0055 cent flatter as it ascends the scale
|-
|-
| | [[267ed5]]
| | [[267ed5]]
| | [[115edo]]
| | [[115edo]]
| | 267ed5 is 115edo with ~0.10 cent stretched octaves. Patent vals match through the 17-limit.
| | 267ed5 is 115edo with ~0.10 cent stretched octaves. Patent vals match through the 17-limit.
|-
|[[268ed5]]
|
|Every other note of [[231edo]], getting ~.008 cent sharper as it ascends the scale
|-
|[[269ed5]]
|[[116edo]]
|269ed5 is 116edo with ~1.5 cent stretched octaves. Patent vals match through the 17-limit with the exception of 7.
|-
|[[270ed5]]
|
|Same 2.9 cent octave compression as 135ed5~58edo, but really matches the tuning with generator 4/465 of an octave
|-
|[[271ed5]]
|
|Every third note of [[350edo]], getting ~.004 cent flatter as it ascends the scale
|-
|[[272ed5]]
|[[117edo]]
|272ed5 is 117edo with ~1.5 cent stretched octaves. Patent vals match through the 11-limit with the exception of 7.
|-
|[[273ed5]]
|
|Every other note of [[235edo]], getting ~.0065 cent flatter as it ascends the scale
|-
|-
| | [[274ed5]]
| | [[274ed5]]
| | [[118edo]]
| | [[118edo]]
| | Same 0.05 cent octave compression as 137ed5~59edo. Patent vals agree through the 103-limit.
| | Same 0.05 cent octave compression as 137ed5~59edo. Patent vals agree through the 103-limit.
|-
|[[275ed5]]
|
|Every other note of [[237edo]], getting ~.0055 cent sharper as it ascends the scale
|-
|[[276ed5]]
|[[119edo]]
|276ed5 is 119edo with ~1.35 cent stretched octaves. Patent vals agree through the 23-limit with the exception of 13 and 19.
|-
|[[277ed5]]
|
|Every fourth note of [[477edo]], getting ~.004 cent flatter as it ascends the scale
|-
|[[278ed5]]
|
|Every third note of [[359edo]], getting ~.005 cent flatter as it ascends the scale
|-
|[[279ed5]]
|[[120edo]]
|279ed5 is 120edo with ~1.6 cent compressed octaves. Patent vals match through the 19-limit with the exception of 11 through 17.
|-
|[[280ed5]]
|
|Every other note of [[241edo]], getting ~.007 cent flatter as it ascends the scale
|-
|-
| | [[281ed5]]
| | [[281ed5]]
| | [[121edo]]
| | [[121edo]]
| | 281ed5 is 121edo with ~0.20 cent compressed octaves. Patent vals match through the 29-limit.
| | 281ed5 is 121edo with ~0.20 cent compressed octaves. Patent vals match through the 29-limit.
|-
|[[282ed5]]
|
|Every other note of [[243edo]], getting ~.004 cent sharper as it ascends the scale
|-
|-
| | [[283ed5]]
| | [[283ed5]]
| | [[122edo]]
| | [[122edo]]
| | 283ed5 is 122edo with ~1.2 cent stretched octaves. Patent vals match through the 13-limit.
| | 283ed5 is 122edo with ~1.2 cent stretched octaves. Patent vals match through the 13-limit.
|-
|[[284ed5]]
|
|Every third note of [[367edo]], getting ~.002 cent sharper as it ascends the scale
|-
|[[285ed5]]
|
|Same 2.5 cent octave stretch as 95ed5~41edo, but really matches the tuning with generator 4/491 of an octave.
|-
|[[286ed5]]
|[[123edo]]
|286edo is 123edo with ~1.7 cent compressed octaves. Patent vals match through the 17-limit, with the exception of 7 and 13.
|-
|[[287ed5]]
|
|Every other note of [[247edo]], getting ~.008 cent flatter as it ascends the scale
|-
|-
| | [[288ed5]]
| | [[288ed5]]
| | [[124edo]]
| | [[124edo]]
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals agree through the 23-limit.
| | Same 0.34 cent octave compression as 72ed5~31edo. Patent vals agree through the 23-limit.
|-
|[[289ed5]]
|
|Every other note of [[249edo]], getting ~.003 cent sharper as it ascends the scale
|-
|-
| | [[290ed5]]
| | [[290ed5]]
| | [[125edo]]
| | [[125edo]]
| | Same 1.0 cent octave stretch as 58ed5~25edo. Patent vals match through the 37-limit, with the exception of 13.
| | Same 1 cent octave stretch as 58ed5~25edo. Patent vals match through the 37-limit, with the exception of 13.
|-
|[[291ed5]]
|
|Every third note of [[376edo]], getting ~.0004 cent sharper as it ascends the scale
|-
|[[292ed5]]
|
|Same 2.3 cent octave stretch as 146ed5~63edo, but really matches the tuning with generator 4/503 of an octave
|-
|[[293ed5]]
|[[126edo]]
|293ed5 is 126edo with ~2.2 cent compressed octaves. Patent vals match through the 7-limit.
|-
|[[294ed5]]
|
|Every other note of [[253edo]], getting ~.009 cent flatter as it ascends the scale
|-
|-
| | [[295ed5]]
| | [[295ed5]]
| | [[127edo]]
| | [[127edo]]
| | 295ed5 is 127edo with ~0.47 cent compressed octaves. Patent vals match through the 17-limit, with the exception of 11.
| | 295ed5 is 127edo with ~0.47 cent compressed octaves. Patent vals match through the 17-limit, with the exception of 11.
|-
|[[296ed5]]
|
|Every other note of [[255edo]], getting ~.0055 cent sharper as it ascends the scale
|-
|-
| | [[297ed5]]
| | [[297ed5]]
| | [[128edo]]
| | [[128edo]]
| | 297ed5 is 128edo with ~0.84 cent stretched octaves. Patent vals match through the 7-limit.
| | 297ed5 is 128edo with ~0.84 cent stretched octaves. Patent vals match through the 7-limit.
|-
|[[298ed5]]
|
|Same 3.2 cent octave compression as 149ed5~64edo, but really matches the tuning with generator 3/385 of an octave
|-
|[[299ed5]]
|
|Every fourth note of [[515edo]], getting ~.002 cent flatter as it ascends the scale
|-
|[[300ed5]]
|[[129edo]]
|Same 1.9 cent octeave compression as 100ed5~43edo. Patent vals match alternate primes through the 5-limit.
|-
|[[301ed5]]
|
|Every other note of [[259edo]], getting ~.01 cent flatter as it ascends the scale
|-
|[[302ed5]]
|[[130edo]]
|Same .59 cent octave compression as 151ed5~65edo. Patent vals match through the 41-limit with the exception of 11, 19 and 23.
|-
|[[303ed5]]
|
|Every other note of [[261edo]], getting ~.002 cent sharper as it ascends the scale
|-
|[[304ed5]]
|[[131edo]]
|304ed5 is 131edo with ~.68 cent stretched octaves. Patent vals match through the 41-limit with the exception of 13 and 23.
|-
|[[305ed5]]
|
|Every other note of [[263edo]], getting ~.01 cent sharper as it ascends the scale
|-
|[[306ed5]]
|[[132edo]]
|Same 1.9 cent octave stretch as 51ed5~22edo. Patent vals match through the 13-limit with the exception of 7 and 11.
|-
|[[307ed5]]
|
|Every fourth note of 529edo, getting ~.002 cent sharper as it ascends the scale
|-
|[[308ed5]]
|
|Every third note of [[398edo]], getting ~.001 cent sharper as it ascends the scale
|-
|[[309ed5]]
|[[133edo]]
|309ed5 is 133edo with ~.73 cent compressed octaves. Patent vals match through the 71-limit with the exception of 7 and 59.
|-
|[[310ed5]]
|
|Every other note of [[267edo]], getting ~.0006 cent flatter as it ascends the scale
|-
|[[311ed5]]
|[[134edo]]
|311ed5 is 134edo with ~.53 cent stretched octaves. Patent vals match through the 59-limit with the exception of 11, 19 and 53
|-
|[[312ed5]]
|
|Same 3.3 cent octave compression as 156ed5~67edo, but really matches the tuning with generator 2/69 of an octave
|-
|[[313ed5]]
|[[135edo]]
|313ed5 is 135edo with ~1.8 cent stretched octaves. Patent vals match through the 5-limit.
|-
|-
| | [[339ed5]]
| | [[339ed5]]
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*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Harmonics|Pentave Reduced Harmonics]]
*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
*[[Pentave_Reduced_Subharmonics|Pentave Reduced Subharmonics]]
*http://www.nonoctave.com/tuning/fifth_harmonic.html     [[Category:Ed5| ]] <!-- main article -->
*http://www.nonoctave.com/tuning/fifth_harmonic.html       [[Category:Ed5| ]] <!-- main article -->
[[Category:Equal-step tuning]]
[[Category:Equal-step tuning]]
[[Category:Overview]]
[[Category:Overview]]


[[Category:todo:add_sound_examples]]
[[Category:todo:add_sound_examples]]
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