SCALE TYPES
Non 12Tone Equal Tempered (Based on a mathematical factor)
In this series, the listener is exposed to different types of equaltempered scales. Our western chromatic or 12tone equal tempered scale is mathematically derived. Non12 equal tempered scales are also mathematically derived, but their number of notes per octave is different which results in audible distances/differences between neighboring notes, and this creates the character of the scale.
Currently, there are four (non12 equal) instruments that have been made:
5tone equal, 7tone equal, 8tone equal, and 9tone equal.
Common Details that Apply to All Instruments
Range: Tenor C (C3) to Treble C (C5)
Bars: African Padauk
Resonator: Poplar
Finish: Semigloss clear coat (waterbase)
This instrument is available for rental from
LA Percussion Rentals
5Tone Equal Tempered
Model C311ET5 Specification
2Octave / 5tone equaltempered scale
No. of Notes: 11
Dimensions: W: 30 x D: 14" x H:141/2"
Weight: 14.5lbs.
Scale Technical Definition: 5Tone Equal

Octave determination: 5th root of 2 = a factor of 1.14869835

Number of notes per octave = 5

Number of cents per octave = 1200

Number of cents between notes = 240 (1200/5)
Scale Character
5Tone Equal has notes that relate to 12Tone Equal. Scale character can be heard when two note intervals with x no. of notes in between.
This instrument is available for rental from
LA Percussion Rentals
7Tone Equal Tempered
Model C311ET7 Specification
2Octave / 7tone equaltempered scale
No. of Notes: 15
Dimensions: W: 40" x D: 14" x H: 141/2"
Weight: 18.5lbs.
Scale Technical Definition: 7Tone Equal

Octave determination: 7th root of 2 = a factor of 1.1040895

Number of notes per octave = 7

Number of cents per octave = 1200

Number of cents between notes = 171.43 (1200/7)
Scale Character
7Tone Equal has no notes that relate to 12Tone Equal. Scale character can be heard when two note intervals with x no. of notes in between.
This instrument is available for rental from
LA Percussion Rentals
8Tone Equal Tempered
Model C317ET8 Specification
2Octave / 8tone equaltempered scale
No. of Notes: 17
Dimensions: W: 441/2" x D: 14" x H: 141/2"
Weight: 19.5lbs.
Scale Technical Definition: 8Tone Equal

Octave determination: 8th root of 2 = a factor of 1.090507733

Number of notes per octave = 8

Number of cents per octave = 1200

Number of cents between notes = 150 (1200/8)
Scale Character
The 8tone equal is based on the 12tone equal's minor 3rds or diminished scale which consists of four tones: C, D#, F#, and A or notes 1, 3, 5, and 7 (as shown in the photo above). If we move up one step and only play notes 2, 4, 6, and 8, then the second diminished scale is revealed. Both scales are demonstrated in the audio example >.
When the 1, 3, 5, 7 and 2, 4, 6, 8 notes are combined in their numerical order as 1, 2, 3, 4, 5, 6, 7, 8, then the halfdiminished equal scale is more easily understood as demonstrated in the first audio example above.
This instrument is available for rental from
LA Percussion Rentals
9Tone Equal Tempered
Model C319ET9 Specification
2Octave / 9tone equaltempered scale
No. of Notes: 19
Dimensions: W: 491/4" x D: 14" x H: 141/2"
Weight: 19.5lbs.
Scale Technical Definition: 9Tone Equal

Octave determination: 9th root of 2 = a factor of 1.08005974

Number of notes per octave = 9

Number of cents per octave = 1200

Number of cents between notes = 133.333333 (1200/9)

Scale Character
The 9tone equal is based on the 12tone equal's major 3rds or augmented scale which consists of three tones: C, E, and G# or notes 147 (as shown in the photo above). This would be considered the first 3rd.
Second 3rd: If we move up one step and only play notes 2, 5, 8, then the second augmented scale is revealed.
Third 3rd: Finally, if we move up one more step and only play notes 3, 6, 9, then the third augmented scale is revealed.
The top audio example is how the 9tone scale sounds when these three groups are combined.
The two audio examples on the bottom provide the flavor of a twonote interval  one in the high octave, one in the low octave.
NOTE:
It is interesting to note that the 12Tone Equal Tempered scale actually contains five equaltempered scales within it. This is easily determined because the number 12 can be equally divided in five ways, as follows:

2Tone Equal (based on the flatted 5th or Tritone: C, F#, C)

3Tone Equal (based on major 3rds: C, E, G#, C)

4Tone Equal (based on minor 3rds: C, D#, F#, A, C)

6Tone Equal (based on the 2nd or wholetone steps: C, D, E, F#, G#, A#, C)

12Tone Equal (based on halfsteps: C, C#, D, D#, E, F, F#, G, G#, A, A#, B, C)
43Tone Equal Tempered
This instrument is available for rental from
LA Percussion Rentals
Harry Partch "Boo" Recreation (2017)
11/2Octave / 43tones per octave equaltempered scale
No. of Notes: 64
Dimensions: W: 101" x H: 60.25" x D: 35"
Weight: TBD
Year of Construction: 2017
Client: John Schneider (Partch Ensemble)
Scale Technical Definition: 43Tone Equal

Octave determination: 43rd root of 2 = a factor of 1.0162503

Number of notes per octave = 43

Number of cents per octave = 1200

Number of cents between notes = 27.9 (1200/43)