Piano: Difference between revisions

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The '''piano''' can be used to play microtonal music in a variety of ways.
The '''piano''' is a percussive [[keyboard]] 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 [[12edo]] 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 with just tunings for his [https://www.youtube.com/watch?v=h8ugV5e1n4Q Sonata for Microtonal Piano] (1964)
[[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)
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).


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[[Kyle Gann]]'s [https://othermindsrecords.bandcamp.com/album/hyperchromatica Hyperchromatica] (2018) uses three pianos with the just tunings shown in the table below.<ref name="gann-hyperchromatica"/>
[[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"
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| 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]].


== Two standard pianos a quarter-tone apart ==
== Microtonal music with more than two pianos ==
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) and [[Ivan Wyschnegradsky]]'s [https://www.youtube.com/watch?v=eS6U0I43OF4 24 Préludes] (1934).
 
* [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 ==
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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].
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].


[[Julián Carrillo]] had pianos constructed in a range of tunings from 1/3-tones to 1/16-tones.<ref name="grove-microtonal"/> These used conventional piano keyboards, so the range decreases as the divisions of the tuning get smaller.<ref name="huygens-carrillo"/>
[[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"/>


[[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).
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Owen H. Jorgensen's ''Tuning'' discusses historical temperaments used on the piano.<ref name="jorgensen1991tuning"/>
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 ==
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</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">
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== See also ==
== See also ==
* [[Keyboard]]
* [[Fluid piano]]
* [[Fluid piano]]


[[Category:Instruments]]
[[Category:Instruments]]

Latest revision as of 16:33, 2 September 2026

The piano is a percussive keyboard 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 12edo 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

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

  1. Kraig Grady, Riley's 5 limit tuning for "Harp of New Albion"
  2. Kyle Gann, La Monte Young's The Well-Tuned Piano
  3. Michael Harrison, Revelation Tuning
  4. Kyle Gann, Hyperchromatica Note: this recording is an electronic realization, and the piece remains unperformed on acoustic pianos.
  5. Georg Hajdu's 1992 ICMC paper on the 17-tone piano project
  6. Elisa Järvi, Performing on the new quarter-tone piano – re-discovering repertoire
  7. 7.0 7.1 Hugh Davies/Alexander Bonus, Microtonal instruments. The Grove Dictionary of Musical Instruments, Second Edition, 2014, p.461.
  8. Carrillo piano, Huygens-Fokker Foundation
  9. Helmholtz and Ellis, On the Sensations of Tone. Longmans, Green, and Co, 1895.
  10. Owen H. Jorgensen, Tuning. Michigan State University Press, 1991.

See also