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Pitch to Tempo as used with LucyTuned Lullabies and Beat Frequency data

The table below assumes that there is a direct relationship between pitch and tempo. By reducing any pitch by an exact number of octaves (in this case 8), a lower frequency is produced. Below about 16 cycles per second, our brains hear this ptich as a tempo. This tempo can be expressed in beats per minutes, which is a more familiar terminology for muscians. It is suggested that this matching of tempo and pitch produces a pleasing ("consonant") effect.

The exactly calculations are shown in the first row of the table below, and the beat frequency between the fifth at a frequency ratio of 3 to 2, and the LucyTuned Fifth is also shown in column (e) in ranges which match observable brainwave frequencies.















Beat Frequency

from Fifths (Hz)



C 263.68 61.80 8.24 5.89
C# 274.31 64.29 8.57 6.13
Db 283.02 66.33 8.84 6.33
D 294.43 69.01 9.20 6.58
D# 306.31 71.79 9.57 6.85
Eb 316.03 74.07 9.88 7.06
E 328.77 77.06 10.27 7.35
Fb 339.20 79.50 10.60 7.58
E# 342.03 80.16 10.69 7.65
F 352.88 82.71 11.03 7.89
F# 367.12 86.04 11.47 8.21
Gb 378.66 88.77 11.83 8.46
G 394.04 92.35 12.32 8.81
G# 409.93 96.08 12.81 9.16
Ab 422.94 99.13 13.22 9.45
A 440.00 103.13 13.75 9.83
A# 457.75 107.29 14.30 10.23
Bb 472.27 110.69 14.76 10.56
B 491.32 115.15 15.35 10.98
Cb 506.91 118.81 15.84 11.33
B# 511.13 119.80 15.97 11.42
The script below enables you to ascertain the tempo of heard or imagined music. Experiment with tempos here (Netscape 4.x+, MSIE 4.x+ compatible).




Click on the page to start the bpm counter

Press a key or click your mouse to measure beats.

You may also the counter

Convert between frequency (in cycles per second - Hertz) and beats per minute (i.e. 8 octaves lower). Enter a number in either field, then click outside the text box.


Beats per minute:

Biological and psychological observations of low frequencies

Observations made of brainwave patterns suggest that varying levels of human consciousness display the responses as shown in the table below. Brainwave machines use these frequencies to entrain the brain, as programmed patterns of flashing lights, colours, and beat frequencies as selected by the user.

An analysis of beat frequencies generated by the first (19*2) =38 harmonic steps of LucyTuning resulted in beat frequencies of from .0722 to 1.6885 per cent of the fundamentally sounded frequencies.

For musical A3 (220Hz.), this resulted in beat frequencies of from .1588 to 3.6969 Hz. (i.e. in the Low Theta and Delta Ranges, and lower).


above 12 Hertz

Normal Waking

normal state of alertness, stress, and anxiety


8 to 12 Hertz

Light Relaxation

superlearning, positive thinking


4 to 7 Hertz

Deep Relaxation

meditation, increased memory and focus


1 to 3 Hertz

Deep Sleep

lucid dreaming, increased immune functions

Related Pages
Printable html Table of 23 notes for Sampler Tuning + Tempo and Millisecond delay setting.
LucyTuned Lullabies

Tuning and Colour

MIDI pitchbend and Tuning Dump info