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The '''piano''' can be used to play microtonal music in a variety of ways. | The '''piano''' is a percussion instrument, in which an action of felt-covered hammers strike strings stretched on a metal frame attached to a resonant soundboard. | ||
The history of the piano is closely intertwined with the standardization of [[12-EDO]] in the West. The development of steel frames with precision machining gave them the necessary capacity to hold the high level of tension (18-30 tons) to remain in tune reliably over time. | |||
The piano can be used to play microtonal music in a variety of ways. A single piano's strings can be retuned; due to the risk of breaking strings, this is generally subject to a maximum of +/- 50 cents on each pitch. | |||
For tunings of more than 12 pitches per octave, the difference accumulates. If one tunes the lower keys normally and works their way up a bigger scale, the higher strings sound increasingly inharmonic, more bell-like. For microtonal music to avoid this timbral distortion, multiple pianos must be used: a solo player can play two keyboards at a right angle, or many players can play many pianos. | |||
== Retuned standard piano == | == Retuned standard piano == | ||
[[Ben Johnston]] used pianos tuned in 12-tone just intonation scales for his [https://www.youtube.com/watch?v=h8ugV5e1n4Q Sonata for Microtonal Piano] (1964) | |||
[[Ben Johnston]] used pianos | |||
[https://www.youtube.com/watch?v=h8ugV5e1n4Q Sonata for Microtonal Piano] (1964) | |||
and [https://www.youtube.com/watch?v=Nx27dfey6iM Suite for Microtonal Piano] (1978). | and [https://www.youtube.com/watch?v=Nx27dfey6iM Suite for Microtonal Piano] (1978). | ||
The table below shows the tunings used in | The table below shows the tunings used in [[Terry Riley]]'s [https://www.youtube.com/watch?v=TmgWeioQoTU&list=OLAK5uy_lI5rJKDFOeqWn2Yr82DVik6DhsENUTWgY&index=1 The Harp of New Albion] (1986), [[La Monte Young]]'s [https://lamonteyoung.bandcamp.com/album/the-well-tuned-piano-in-the-magenta-lights-87-v-10-6-43-00-pm-87-v-11-1-07-45-am-nyc The Well-Tuned Piano] (1964-present), and [[Michael Harrison]]'s [https://michaelharrison.bandcamp.com/album/revelation Revelation] (2007). | ||
[[Terry Riley]]'s [https://www.youtube.com/watch?v=TmgWeioQoTU&list=OLAK5uy_lI5rJKDFOeqWn2Yr82DVik6DhsENUTWgY&index=1 The Harp of New Albion] (1986), | <ref name="grady-riley"/> | ||
[[La Monte Young]]'s [https://lamonteyoung.bandcamp.com/album/the-well-tuned-piano-in-the-magenta-lights-87-v-10-6-43-00-pm-87-v-11-1-07-45-am-nyc The Well-Tuned Piano] (1964-present), | <ref name="gann-young"/> | ||
and [[Michael Harrison]]'s [https://michaelharrison.bandcamp.com/album/revelation Revelation] (2007). | <ref name="harrison-revelation"/> | ||
<ref name="grady-riley" /> | |||
<ref name="gann-young" /> | |||
<ref name="harrison-revelation" /> | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 48: | Line 49: | ||
|} | |} | ||
[[Kyle Gann]]'s [https://othermindsrecords.bandcamp.com/album/hyperchromatica Hyperchromatica] (2018) | [[Kyle Gann]]'s [https://othermindsrecords.bandcamp.com/album/hyperchromatica Hyperchromatica] (2018) was written for three Disklavier pianos with the just tunings shown in the table below.<ref name="gann-hyperchromatica"/> | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 83: | Line 83: | ||
| 15/8 || 1088 || 225/128 || 977 || 117/64 || 1044 | | 15/8 || 1088 || 225/128 || 977 || 117/64 || 1044 | ||
|} | |} | ||
[[Arnold Dreyblatt]] employed a 40-key miniature pianoforte in his [https://www.dreyblatt.net/musical-instruments Orchestra of Excited Strings], tuned to the 11-limit [[Dreyblatt tuning system]]. | |||
== Two standard pianos a quarter-tone apart == | |||
Two standard pianos tuned a quarter-tone apart can be used to play music in [[24edo]]. Examples include [[Charles Ives]]' [https://www.youtube.com/watch?v=EXJPnUZhETg&list=PLB6BCC23A3D7CA817&index=1 Three Quarter-Tone Pieces] (1924), [[Ivan Wyschnegradsky]]'s [https://www.youtube.com/watch?v=eS6U0I43OF4 24 Préludes] (1934), and John Eaton's [https://www.youtube.com/watch?v=PhCyVFRBbj4 Microtonal Fantasy] (1965). | |||
== Retuning two pianos == | |||
In 1992, [[Georg Hajdu]] published a report of the "17 Tones" project<ref>[https://www.georghajdu.de/gh/fileadmin/material/articles/17_tones.ICMC.pdf Georg Hajdu's 1992 ICMC paper on the 17-tone piano project]</ref>, in which five composers wrote music featuring two player pianos tuned to [[17edo]]. | |||
In 2006-2008, [[Jacob Barton]] had two surplus grand pianos tuned to 17edo and produced the [[SeventeenTonePianoProject|Seventeen Tone Piano Project]], a series of four calls for works and concerts at Rice University. | |||
In 2008, [[Aaron Krister Johnson]] produced an event featuring two upright pianos tuned to [[19edo]] as part of Midwest MicroFest (now [[UnTwelve]]). | |||
Philip Golub's [https://phillipgolub.bandcamp.com/album/loop-7 Loop 7] (2025) uses two pianos retuned to play in [[22edo]]. | Philip Golub's [https://phillipgolub.bandcamp.com/album/loop-7 Loop 7] (2025) uses two pianos retuned to play in [[22edo]]. | ||
== | == Microtonal music with more than two pianos == | ||
* [https://www.youtube.com/watch?v=1L2vLH2KgSU Georg Friedrich Haas: ''Limited Approximations'' (2010)] for orchestra and 6 pianos tuned to 1/12th tones ([[72edo]] | |||
* [https://www.youtube.com/watch?v=kpHSC8eWWL8 Taylor Brook: ''Virtutes Occultae'' (2017)] for "six physically modeled virtual pianos, each with a unique tuning in an extended 11-limit just intonation | |||
[[ | |||
== Custom-built pianos == | == Custom-built pianos == | ||
Some pianos with multiple manuals have been made for playing quarter-tone music.<ref name="jarvi-performing" /> The table below, adapted from the Grove Dictionary of Musical Instruments, shows some of them.<ref name="grove-microtonal" /> | |||
Some pianos with multiple manuals have been made for playing quarter-tone music.<ref name="jarvi-performing" /> | |||
The table below, adapted from the Grove Dictionary of Musical Instruments, shows some of them.<ref name="grove-microtonal" /> | |||
{| class="wikitable" | {| class="wikitable" | ||
| Line 120: | Line 127: | ||
|} | |} | ||
There are some videos of Steve Cohn playing a Förster three-manual quarter-tone piano | There are some videos of Steve Cohn playing a Förster three-manual quarter-tone piano [https://www.youtube.com/watch?v=W7AqXnHjxd0 available] on [https://www.youtube.com/watch?v=PdP4epQIUrU YouTube]. | ||
[https://www.youtube.com/watch?v=W7AqXnHjxd0 available] on | |||
[https://www.youtube.com/watch?v=PdP4epQIUrU YouTube]. | |||
[[Julián Carrillo]] had pianos constructed in a range of tunings from 1/3-tones to 1/16-tones.<ref name="grove-microtonal" /> | [[Julián Carrillo]] had pianos constructed in a range of tunings from 1/3-tones to 1/16-tones.<ref name="grove-microtonal"/> These ''pianos metamorfoseadores'', also known as Carrillo pianos, used conventional piano keyboards, so the range decreases as the divisions of the tuning get smaller.<ref name="huygens-carrillo"/> | ||
These used conventional piano keyboards, so the range decreases as the divisions of the tuning get smaller.<ref name="huygens-carrillo" /> | |||
[[Michael Harrison]]'s harmonic piano plays a 24-note just scale and can be heard on [https://www.youtube.com/watch?v=yG69xptl1Bc From Ancient Worlds] (1992). | [[Michael Harrison]]'s harmonic piano plays a 24-note just scale and can be heard on [https://www.youtube.com/watch?v=yG69xptl1Bc From Ancient Worlds] (1992). | ||
== Exciters for strings == | == Exciters for strings == | ||
By using some device to excite harmonics of the piano strings, it can be used to play notes higher up the harmonic series. For example, the [https://instrumentslab.org/project/magnetic-resonator-piano-2 magnetic resonator piano] uses electromagnets to excite the strings. This can be heard on Xenia Pestova Bennett's [https://diatriberecords.bandcamp.com/album/atomic-legacies Atomic Legacies] (2020). | |||
By using some device to excite harmonics of the piano strings, it can be used to play notes higher up the harmonic series. | |||
For example, the [https://instrumentslab.org/project/magnetic-resonator-piano-2 magnetic resonator piano] uses electromagnets to excite the strings. | |||
This can be heard on Xenia Pestova Bennett's [https://diatriberecords.bandcamp.com/album/atomic-legacies Atomic Legacies] (2020). | |||
== Further reading == | == Further reading == | ||
[[Hermann von Helmholtz|Helmholtz]] discusses the acoustics of pianos in ''On the Sensations of Tone''.<ref name="helmholtz1895sensations"/> | |||
Owen H. Jorgensen's ''Tuning'' discusses historical temperaments used on the piano.<ref name="jorgensen1991tuning"/> | |||
[[Ivor Darreg]]'s 1967 essay [http://www.tonalsoft.com/sonic-arts/darreg/piano.htm Shall We Improve The Piano?] addresses head-on a number of issues faced by music-makers wanting to use acoustic pianos. | |||
== References == | == References == | ||
| Line 153: | Line 155: | ||
</ref> | </ref> | ||
<ref name="gann-hyperchromatica"> | <ref name="gann-hyperchromatica"> | ||
Kyle Gann, [https://www.kylegann.com/Hyperchromatica.html Hyperchromatica] | Kyle Gann, [https://www.kylegann.com/Hyperchromatica.html Hyperchromatica] Note: this recording is an electronic realization, and the piece remains unperformed on acoustic pianos. | ||
</ref> | </ref> | ||
<ref name="jarvi-performing"> | <ref name="jarvi-performing"> | ||
| Line 173: | Line 175: | ||
== See also == | == See also == | ||
* [[Keyboard]] | |||
* [[Fluid piano]] | * [[Fluid piano]] | ||
[[Category:Instruments]] | [[Category:Instruments]] | ||
Revision as of 14:57, 2 September 2026
The piano is a percussion instrument, in which an action of felt-covered hammers strike strings stretched on a metal frame attached to a resonant soundboard.
The history of the piano is closely intertwined with the standardization of 12-EDO in the West. The development of steel frames with precision machining gave them the necessary capacity to hold the high level of tension (18-30 tons) to remain in tune reliably over time.
The piano can be used to play microtonal music in a variety of ways. A single piano's strings can be retuned; due to the risk of breaking strings, this is generally subject to a maximum of +/- 50 cents on each pitch.
For tunings of more than 12 pitches per octave, the difference accumulates. If one tunes the lower keys normally and works their way up a bigger scale, the higher strings sound increasingly inharmonic, more bell-like. For microtonal music to avoid this timbral distortion, multiple pianos must be used: a solo player can play two keyboards at a right angle, or many players can play many pianos.
Retuned standard piano
Ben Johnston used pianos tuned in 12-tone just intonation scales for his Sonata for Microtonal Piano (1964) and Suite for Microtonal Piano (1978).
The table below shows the tunings used in Terry Riley's The Harp of New Albion (1986), La Monte Young's The Well-Tuned Piano (1964-present), and Michael Harrison's Revelation (2007). [1] [2] [3]
| Harp of New Albion | The Well-Tuned Piano | Revelation | |||
|---|---|---|---|---|---|
| Ratio | Cents | Ratio | Cents | Ratio | Cents |
| 1/1 | 0 | 1/1 | 0 | 1/1 | 0 |
| 16/15 | 112 | 567/512 | 177 | 567/512 | 177 |
| 9/8 | 204 | 9/8 | 204 | 9/8 | 204 |
| 6/5 | 316 | 147/128 | 240 | 81/64 | 408 |
| 5/4 | 386 | 21/16 | 471 | 21/16 | 471 |
| 4/3 | 498 | 1323/1024 | 444 | 729/512 | 612 |
| 64/45 | 610 | 189/128 | 675 | 189/128 | 675 |
| 3/2 | 702 | 3/2 | 702 | 3/2 | 702 |
| 8/5 | 814 | 49/32 | 738 | 27/16 | 906 |
| 5/3 | 884 | 7/4 | 969 | 7/4 | 969 |
| 16/9 | 996 | 441/256 | 942 | 243/128 | 1110 |
| 15/8 | 1088 | 63/32 | 1173 | 63/32 | 1173 |
Kyle Gann's Hyperchromatica (2018) was written for three Disklavier pianos with the just tunings shown in the table below.[4]
| Piano 1 | Piano 2 | Piano 3 | |||
|---|---|---|---|---|---|
| Ratio | Cents | Ratio | Cents | Ratio | Cents |
| 1/1 | 0 | 121/64 | 1103 | 63/32 | 1173 |
| 135/128 | 92 | 33/32 | 53 | 65/64 | 27 |
| 35/32 | 155 | 143/128 | 192 | 143/128 | 192 |
| 9/8 | 204 | 75/64 | 275 | 75/64 | 275 |
| 5/4 | 386 | 77/64 | 320 | 39/32 | 342 |
| 21/16 | 471 | 165/128 | 440 | 81/64 | 408 |
| 11/8 | 551 | 11/8 | 551 | 169/128 | 481 |
| 3/2 | 702 | 45/32 | 590 | 91/64 | 609 |
| 49/32 | 738 | 99/64 | 755 | 195/128 | 729 |
| 105/64 | 857 | 25/16 | 773 | 13/8 | 841 |
| 7/4 | 969 | 55/32 | 938 | 27/16 | 906 |
| 15/8 | 1088 | 225/128 | 977 | 117/64 | 1044 |
Arnold Dreyblatt employed a 40-key miniature pianoforte in his Orchestra of Excited Strings, tuned to the 11-limit Dreyblatt tuning system.
Two standard pianos a quarter-tone apart
Two standard pianos tuned a quarter-tone apart can be used to play music in 24edo. Examples include Charles Ives' Three Quarter-Tone Pieces (1924), Ivan Wyschnegradsky's 24 Préludes (1934), and John Eaton's Microtonal Fantasy (1965).
Retuning two pianos
In 1992, Georg Hajdu published a report of the "17 Tones" project[5], in which five composers wrote music featuring two player pianos tuned to 17edo.
In 2006-2008, Jacob Barton had two surplus grand pianos tuned to 17edo and produced the Seventeen Tone Piano Project, a series of four calls for works and concerts at Rice University.
In 2008, Aaron Krister Johnson produced an event featuring two upright pianos tuned to 19edo as part of Midwest MicroFest (now UnTwelve).
Philip Golub's Loop 7 (2025) uses two pianos retuned to play in 22edo.
Microtonal music with more than two pianos
- Georg Friedrich Haas: Limited Approximations (2010) for orchestra and 6 pianos tuned to 1/12th tones (72edo
- Taylor Brook: Virtutes Occultae (2017) for "six physically modeled virtual pianos, each with a unique tuning in an extended 11-limit just intonation
Custom-built pianos
Some pianos with multiple manuals have been made for playing quarter-tone music.[6] The table below, adapted from the Grove Dictionary of Musical Instruments, shows some of them.[7]
| Inventor/builder | Date | Manuals |
|---|---|---|
| G.A. Behrens-Senegalden (Berlin) | 1892 | 2 |
| Ivan Wyschnegradsky (Paris), built by Pleyel | 1922 | 2 |
| Alois Hába (Berlin), Ivan Wyschnegradsky, built by Grotrian Steinweg | 1923-4 | 3 |
| Moritz Stoehr (New York) | 1924 | 2 |
| Alois Hába (Prague), built by Förster | 1924 | 2 |
| Ivan Wyschnegradsky, built by Otto Pappe | 1924 | 3? |
| Alois Hába, built by Förster | 1925-9 | 3 |
| Hans Barth (New York), built by George L. Weitz of Baldwin | 1928 | 2 |
| Ivan Wyschnegradsky, built by Förster | 1928-9 | 3 |
There are some videos of Steve Cohn playing a Förster three-manual quarter-tone piano available on YouTube.
Julián Carrillo had pianos constructed in a range of tunings from 1/3-tones to 1/16-tones.[7] These pianos metamorfoseadores, also known as Carrillo pianos, used conventional piano keyboards, so the range decreases as the divisions of the tuning get smaller.[8]
Michael Harrison's harmonic piano plays a 24-note just scale and can be heard on From Ancient Worlds (1992).
Exciters for strings
By using some device to excite harmonics of the piano strings, it can be used to play notes higher up the harmonic series. For example, the magnetic resonator piano uses electromagnets to excite the strings. This can be heard on Xenia Pestova Bennett's Atomic Legacies (2020).
Further reading
Helmholtz discusses the acoustics of pianos in On the Sensations of Tone.[9]
Owen H. Jorgensen's Tuning discusses historical temperaments used on the piano.[10]
Ivor Darreg's 1967 essay Shall We Improve The Piano? addresses head-on a number of issues faced by music-makers wanting to use acoustic pianos.
References
- ↑ Kraig Grady, Riley's 5 limit tuning for "Harp of New Albion"
- ↑ Kyle Gann, La Monte Young's The Well-Tuned Piano
- ↑ Michael Harrison, Revelation Tuning
- ↑ Kyle Gann, Hyperchromatica Note: this recording is an electronic realization, and the piece remains unperformed on acoustic pianos.
- ↑ Georg Hajdu's 1992 ICMC paper on the 17-tone piano project
- ↑ Elisa Järvi, Performing on the new quarter-tone piano – re-discovering repertoire
- ↑ 7.0 7.1 Hugh Davies/Alexander Bonus, Microtonal instruments. The Grove Dictionary of Musical Instruments, Second Edition, 2014, p.461.
- ↑ Carrillo piano, Huygens-Fokker Foundation
- ↑ Helmholtz and Ellis, On the Sensations of Tone. Longmans, Green, and Co, 1895.
- ↑ Owen H. Jorgensen, Tuning. Michigan State University Press, 1991.