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The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale. Most fret positions appearing on Non-Western string instruments (lutes) are equal to positions of this scale. Unexpectedly, these fret positions are actually the corresponding undertones of the overtones from the harmonic series. The distance from the nut to the fret is an integer number lower than the distance from the fret to the bridge (see: superparticular number).

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  • Scale of harmonics
  • Escala de armónicos
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  • La escala de armónicos es una escala musical basada en las posiciones nodas de los armónicos naturales que existen en una cuerda. Esta escala musical está presente en el guqin, considerado como uno de los primeros instrumentos de cuerda con una escala musical.​ La mayoría de las posiciones de los trastes que aparecen en los instrumentos de cuerda no occidentales (laúdes) son iguales a las posiciones de esta escala. Inesperadamente, estas posiciones de los trastes son en realidad los correspondientes de los armónicos de la serie armónica. La distancia desde la cejuela al traste es un número entero menor que la distancia desde el traste al puente .
  • The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale. Most fret positions appearing on Non-Western string instruments (lutes) are equal to positions of this scale. Unexpectedly, these fret positions are actually the corresponding undertones of the overtones from the harmonic series. The distance from the nut to the fret is an integer number lower than the distance from the fret to the bridge (see: superparticular number).
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  • La escala de armónicos es una escala musical basada en las posiciones nodas de los armónicos naturales que existen en una cuerda. Esta escala musical está presente en el guqin, considerado como uno de los primeros instrumentos de cuerda con una escala musical.​ La mayoría de las posiciones de los trastes que aparecen en los instrumentos de cuerda no occidentales (laúdes) son iguales a las posiciones de esta escala. Inesperadamente, estas posiciones de los trastes son en realidad los correspondientes de los armónicos de la serie armónica. La distancia desde la cejuela al traste es un número entero menor que la distancia desde el traste al puente .
  • The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale. Most fret positions appearing on Non-Western string instruments (lutes) are equal to positions of this scale. Unexpectedly, these fret positions are actually the corresponding undertones of the overtones from the harmonic series. The distance from the nut to the fret is an integer number lower than the distance from the fret to the bridge (see: superparticular number).
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