Music Tuned to the Natural Harmonic Series Scale

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New Musical Instruments
Harmonic Series Music
Proposals for the new World Harmony Center

Full quality wav files will be available for a donation to the World Harmony Project in the near future. All of this music is copyrighted, and distribution is only allowed by permission of the copyright holders. You may listen to these recordings for free and link to them from your site, but not if there is a charge for it. Making CD's of this music and selling it without a written agreement with World Harmony Project is prohibited.

Thanks to Chris Vaisvil for hosting this music on his server!


All tracks on New Music - Ancient Principles
recorded and mixed by Joshua Lederman

New Music - Ancient Principles

Denny Genovese's Exotic Music Ensemble
(c) 1994

This is the album recorded by the Exotic Music Ensemble as the culmination of World Harmony Project's initial efforts to investigate the musical properties of the Natural Harmonic Series.

Special instruments, capable of being played in this tuning were built for the project.

Music in this album uses the Harmonic series 1-32 as it's scale, and uses odd meter rhythms. In some cases, the harmony is extended into the rhythmic realm by means of polyrhythmic structures. All the music is composed either  by Denny Genovese or other members of the ensemble, and much of it is based on impressions of musical traditions from around the world.


      02 Shatamasagana
   by Bryce Belcher

Based on an African theme, this piece features close vocal harmony in Harmonic Series intervals. The meter is 18 beats per unit.

      03 Lunar Waltz   by Denny Genovese

The title alludes to the 13 beat meter and the pseudo waltz feeling  of the groupings of beats in patterns of 3+3+3+4. The melody illustrates some of the unusual interval choices possible in this scale.

Denny Genovese (Xylophone), Keton (Bass Marimba), Wade Hines (Kosmolyre), Josh Lederman (fretless bass), Bob Neufeld (hammerstrings), Dawn Delo (bells), Karen Boon von Ochssee (percussion).

      04 Sun and Rain
  by Denny Genovese

This song is inspired by Caribbean traditions and honors the elements in Nature.

      05 Gypsy Dance
  by Denny Genovese

Based on impressions of Middle Eastern Dance Music.

Denny Genovese (fife), Bob Neufeld (fretless bass), Keton (dumbec), Wade Hines (tabla),  Josh Lederman (percussion), Dawn Delo (percussion), Karen Boon von Ochssee (percussion).

       07 Sun and Sand  by Bob Neufeld, Keton, Wade Hines, Josh Lederman and Denny Genovese

On a middle Eastern theme, this piece highlights the high and mid ranges of the Hammerstrings, with hand drums and Fipple Pipe.

      08 Five in Five
  by Denny Genovese

The primary meter is 5 beats, with episodes of 5 over 2 and 5 over 3.

      09 Ancient Cultures  by Bob Neufeld (fretless bass), Keton (dumbec), Wade Hines (Kosmolyre), Josh Lederman (xylophones), Dawn Delo (percussion), Karen Boon von Ochssee (zills) and Denny Genovese (One holed Fipple Pipe).

An ancient Greek scale (combined harmonics 1-8 of two series, one on 1/1 and the other on 12/11)  and an Egyptian rhythm form the basis for a series of solos for each instrument.

      10 Gamelan 
  by Denny Genovese

Inspired by the music of Indonesia, Gamelan is characterized by alternating tempo changes.

      11 Allenius Equation 
by Bryce Belcher

This is the most polyrhythmic piece on the album. It was inspired by blinking lights in the harbor at Cedar Key, Florida at night.

Keton (Bass Marimba), Bob Neufeld (bells and Chimes), Wade Hines (Hammerstrings and Electronic effects), Josh Lederman (percussion), Dawn Delo (percussion), Karen Boon von Ochssee (percussion), Denny Genovese (xylophone)

  by Joshua Lederman

Harmonic Series music using Brazilian Samba rhythms.



 Forth and Back

(c) 1987 by Denny Genovese

1  Going In
2  Focalization
3  Reflection
4  Return

This electronic piece uses the Natural Harmonic Series as it's scale (harmonics 1-32). It was originally conceived as background music for massage or meditation. The title alludes to the form.

Music in the Harmonic Series and Just Intonation

by Ralph David Hill (c)

Ralph David Hill, who has been associated with World Harmony Project from the beginning, is a pioneer in Harmonic Series music and Extended Just Intonation. He developed his own software and hardware with which to compose and produce this music, starting in the 1970's, including sound and voice analysis and synthesis.

-Antipodal Harmonies
-Venusian Cataclysms
-Darreg Prelude in D Major
-Study 3
-Chord Progression on the
      Harmonic Series

-The Artistic Cat
-Dufay L' Homme Arme Song
      and Kyrie

-Brief 11 Ratio Composition
-The Second Swan

Read articles on Harmonic Series Music and Just Intonation by Ralph David Hill and hear more of his music on his World Harmony Project webpage.



(c) 1991 by Denny Genovese

This music accompanies Denny Genovese's New College thesis, The Natural Harmonic Series as a practical approach to Just Intonation. It is intended to illustrate the concepts discussed in the thesis. While this album was electronically produced, some of the compositions were later performed by the Exotic Music Ensemble with Acoustic instruments.

00 Pluck  an exposition of the harmonic series scale from 1-16
01 Walk in tune 7 beat meter
02 Five in 5 5 beat meter with polyrhythms of
5 over 3 and 5 over 2
03 Lunar waltz.mp3
The title alludes to the 13 beat meter and the pseudo waltz 
feeling  of the groupings of beats in patterns of 3+3+3+4.
The melody illustrates some of the unusual interval choices possible in the harmonic series 1-32 scale.
04 Complex voice
though it sounds like several independent voices, 
this is one complex voice playing one beat at a time.
05 Simultenious Polyrhythms
Each instrument plays in a different meter, but the 1st 
beat of each coincides with the 1st beat of all others.
06 Passacaglia an orchestral piece using additive and
simultaneous polyrhythms, based upon a resolution of
the harmonic series chords: 14/18/22- 15/18/21- 16/20.
In contrast to 05 above, each voice has beats of the same 
duration, but different numbers of beats per measure. Thus
the measures wrap around in changing relation to each other.
08 Polyrythmic drum solo    each drum is played in different 
changing meters, with independently changing subdivisions
as well.
09 Harmonic Time Structure  here, the Harmonic series is
used as both a basis for pitch and for rhythm. The lowest
pitch is played on every beat, the 2nd harmonic is played on
every 2nd beat, the 3rd harmonic on every 3rd beat, etc....
up to the 16th harmonic which is played every 16th beat.
This serves as accompaniment for a sine wave melody.

Chris Vaisvil

Chris Vaisvil is a prolific contemporary microtonal composer who works with many different tuning systems and compositional methods. The following pieces in the Natural Harmonic Series tuning are selected from a vast amount of music in various tunings available on his website.

Harmonics 24 Through 48 Inclusive is a Just Intonation piano improvisation built off of using harmonics 24 through 48 as an equivalent to 24 et. I found the tuning to be really malleable and intuitive. More tunings along these lines needs to be explored! (The tuning is based on a variety of ideas from Denny Genovese.

What Are You Looking For?
This is a piece uses sequenced samples in various harmonic series segments that tries to evoke a sense of the tragedy of post modern contemporary temporal musical displacement within a larger structure of the implication of instantaneous quantum entanglement with spooky action at a distance as informed by Schoenberg’s theory of tonal harmonic regions taken to the obvious xenharmonic conclusion as a partial differential solution to the problem of American political polarization. Please use ears. The tuning is a 24 note harmonic series segment suggested by Denny Genovese for the piano and the Kontakt provided over / undertone series tuning preset for the choir. The short length was a result that requirement the submission was that it was to be less than or equal to 60 seconds long. Note that this was a microtonal piece that made its way into a conventionally tuned 12 equal set.

Dreaming of the River in the Woods is an unedited keyboard improvisation using the Soniccoulture psaltry with their harmonic series segment 16 – 32 tuning. Here is the quantized score.

98 Harmonics Skip 5 is a piano solo using pianoteq and this scala file to play in a harmonic series segment tuning. The tuning is NOT normalized to an octave. It is the raw harmonic series. The full quality video can be downloaded from this folder

God Wields the Higgs Boson is a harmonic spectral piece constrained to a wide harmonic series starting on D1 (36.8 Hz).

Additional Microtonal Music
hosted by Chris Vaisvil can be found here


Inaccessible Places
Improbable Creatures

(c) 1993 by Jules Siegel

Jules Siegel composed this work in the early 1990's. It is conceived as orchestral music, though it was realized electronically, using score entry software that he wrote himself. The scale is Mode 16-32 of the Harmonic Series, repeated in each octave. Each degree of the scale functions as a base for a key change, as well.

Visit Jules Siegel's page on this site to access his writings on tuning and composition.











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Revised: December 04, 2012 .

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