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This article explores different intonation systems for string players, including expressive intonation, equal temperament, and just intonation for thirds and sixths. It offers practical advice on tuning and dividing pitches into families for practicing expressive intonation. Examples of tuning with open strings and creating subtones are also provided.

This article explains three intonation systems: expressive, just, and equal temperament. Expressive intonation emphasizes perfect fifths and fourths for wide whole steps and narrow half steps. Just intonation enhances specific intervals, while equal temperament divides the octave into twelve equal half steps.

This article explores three intonation systems for the violin: historical systems based on perfect harmonies, equal temperament, and expressive intonation. The author suggests a compromise tuning that balances acoustical properties with matching the piano and providing expressive intervals. Consistent intonation is emphasized, along with the need to adjust when playing with other instruments.

The Gates chart covers the complete chromatic scales in the Pythagorean, Just, Mean-toned Equal-tempered systems. 

This article explores expressive intonation, where pitch adjustments intensify functional harmony by narrowing half-steps. Soloists use this technique to enhance their presence, and adjustable drones aid in practicing this intonation system.

This article discusses how expressive intonation on the violin can maximize the resonance of open strings and create a powerful sound. By tuning intervals and relating notes to open strings, smaller half steps, wider major intervals, and smaller minor intervals can be achieved. The recommended compromise tuning adjusts the pitch of open strings to enhance the expressive qualities of major and minor scales.

This article provides guidance on practicing intonation for violinists. It recommends tuning the instrument using a compromise tuning method and emphasizes the importance of playing with consistent tone and precise finger placement. The article also discusses building families of pitches, training the ear for expressive and equal-tempered intonation, and the benefits of improved intonation in creating a richer sound.

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