Major and Minor Triads - 3D lissajous figure

Two customizable 3D Lissajous figures. Viewed from each side, the major triad model shows the ratios of the notes in a…
4
39
0
439
updated April 1, 2022

Description

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Two customizable 3D Lissajous figures.

Viewed from each side, themajor triad model shows the ratios of the notes in a major triad: the root, the major third and the fifth. When played in tune, the frequencies of these notes will be in the ratio 4:5:6. For example, an A major triad will have the frequencies 440:550:660.

The minor triad model is similar. However, the ratio is more complex, 10:12:15.

Notice how theminor triad model is more complex than the major triad model. In Western music, intervals with simple ratios sound more consonant, while intervals with more complex ratios sound more dissonant.

Print Settings

Printer Brand:

Prusa

Printer:

i3 MK2S

Rafts:

No

Supports:

Yes

Notes:

Use supports ONLY for the first 10mm, or the radius you used in the customizer. What appear to be steep overhangs are actually no more than 45 degrees.

Category: Math Art

Tags



Model origin

The author marked this model as their own original creation. Imported from Thingiverse.

License