Just Hammond: Difference between revisions
Created page with "[THIS PAGE IS A WORK IN PROGRESS...] The article features just intervals created by the mechanical tonegenerator of the classical Hammond B-3 Organ model. ==Design of the Ham..." |
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The article features just intervals created by the mechanical tonegenerator of the classical Hammond B-3 Organ model. | The article features just intervals created by the mechanical tonegenerator of the classical Hammond B-3 Organ model. | ||
==Design of the Hammond B-3’s Tonegenerator== | ==Design of the Hammond B-3’s Tonegenerator== | ||
Since 1935 the Hammond Organ Company’s goal was to market electric organs with 12-tone equally tempered (12edo) tuning.<ref>Webressource | Since 1935 the Hammond Organ Company’s goal was to market electric organs with 12-tone equally tempered (12edo) tuning.<ref>Webressource https://en.wikipedia.org/wiki/Hammond_organ (retrieved December 2019)</ref> The mechanical tonegenerator of the Hammond B-3 Organ is based on a set of 12 pairs of gearwheels that make twelve ''driven'' shafts turn. The corresponding twelve ''driving'' gearwheels are mounted on a common shaft and turn all at the same rotational speed ''n<sub>1</sub>''. Certain gears reduce, others increase rotational speed.<ref>Detailed photos of a similar M-1 tonegenerator are provided by https://modularsynthesis.com/hammond/m3/m3.htm (retrieved December 2019)</ref> | ||
Every chromatic pitch class has a separate driven shaft. Pure octaves are generated by dedicated ''tonewheels'' (with 2, 4, 8, 16, 32, 64 or 128 high and low points on their edges) that rotate with the driven shafts. Each high point on a tone wheel is called a ''tooth''. When the gears are in motion, magnetic pickups react to the tonewheels’ passing teeth and generate an electric signal that can be amplified and transmitted to a loudspeaker. | Every chromatic pitch class has a separate driven shaft. Pure octaves are generated by dedicated ''tonewheels'' (with 2, 4, 8, 16, 32, 64 or 128 high and low points on their edges) that rotate with the driven shafts. Each high point on a tone wheel is called a ''tooth''. When the gears are in motion, magnetic pickups react to the tonewheels’ passing teeth and generate an electric signal that can be amplified and transmitted to a loudspeaker. | ||
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==References== | ==References== | ||
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Revision as of 15:24, 28 December 2019
[THIS PAGE IS A WORK IN PROGRESS...]
The article features just intervals created by the mechanical tonegenerator of the classical Hammond B-3 Organ model.
Design of the Hammond B-3’s Tonegenerator
Since 1935 the Hammond Organ Company’s goal was to market electric organs with 12-tone equally tempered (12edo) tuning.[1] The mechanical tonegenerator of the Hammond B-3 Organ is based on a set of 12 pairs of gearwheels that make twelve driven shafts turn. The corresponding twelve driving gearwheels are mounted on a common shaft and turn all at the same rotational speed n1. Certain gears reduce, others increase rotational speed.[2]
Every chromatic pitch class has a separate driven shaft. Pure octaves are generated by dedicated tonewheels (with 2, 4, 8, 16, 32, 64 or 128 high and low points on their edges) that rotate with the driven shafts. Each high point on a tone wheel is called a tooth. When the gears are in motion, magnetic pickups react to the tonewheels’ passing teeth and generate an electric signal that can be amplified and transmitted to a loudspeaker.
For each pair of gearwheels the ratio of rotational speed n2/n1 is determined by the inverse ratio of the gearwheels’ integer teeth numbers Z1 and Z2:
[math]\displaystyle{ \frac{Z_1}{Z_2}=\frac{n_2}{n_1} }[/math]
To calculate the rotational speed of n2 of the driven shaft we write
[math]\displaystyle{ n_2=\frac{Z_1}{Z_2}\cdot n_1 }[/math]
[...TO BE CONTINUED]
References
- ↑ Webressource https://en.wikipedia.org/wiki/Hammond_organ (retrieved December 2019)
- ↑ Detailed photos of a similar M-1 tonegenerator are provided by https://modularsynthesis.com/hammond/m3/m3.htm (retrieved December 2019)