If you start with 16 MHz clock and divide it by 16615, you arrive at 962.985 Hz.

 

I can get 16 MHz Oscillator in my place not 15.81.

Mouser will ship anywhere!
If not, you'll just need a more complicated divider. Use the 74HC4060 to divide by 64, then a 74HC102 to divide by 130, then a 74HC74 to divide by 2. Result = 961.5Hz. You need to finish with a divide-by-two stage to make sure you get 50% mark-space ratio, because the 74HC103 will give you a 1:129 mark-space ratio.
16MHz divided 2^14 will give you 977Hz, which is still not much more than 1% out.

 

If you start with 16 MHz clock and divide it by 16615, you arrive at 962.985 Hz.

Tricky to make that a 50% mark-space ratio output! Divide by 8307 then by 2 to give 963.04Hz.
Make an oscillator with a 74HCU04, then divide by 39 and 213 using two 74HC103s, then divide by two with a 74HC74.

 

Let's ask the silly question.
Why does it have to be 963 Hz?

 

Let's ask the silly question.
Why does it have to be 963 Hz?

Don't spoil the fun of trying to make a ridiculous frequency!

This is what google found:
The 963Hz Solfeggio frequency is also known as “the frequency of the gods” as it is heavily associated with spirituality and the Third Eye or Pineal Gland.
It is associated with the ability to activate and balance the Crown Chakra, thereby opening up a connection to source, or the universal consciousness.
963Hz is a very powerful tool to aid in spiritual development and help us connect with the source all of humanity.

And the gods didn't specify their limits of error either.

 

And the gods didn't specify their limits of error either.

.... nor did they specify whether the harmonics of 963Hz present in a square wave were good or bad for spiritual development.

 

On the western musical scale,
Bb = 932 Hz
B = 987 Hz

Hence 963 Hz is between Bb and B. It is difficult to detect a tonal shift of 5 cents for most people.
Hence we can consider an accuracy of 963 Hz ±5 %.
Hence a range of 915 to 1010 Hz should be considered acceptable unless the Gods disapprove.

Edit:
1 cent is approx. 0.5 Hz at this frequency. Hence 5 cents is about 3 Hz.
The acceptable range is 960 - 966 Hz or ±0.3%

 

On the western musical scale,
Bb = 932 Hz
B = 987 Hz

Hence 963 Hz is between Bb and B. It is difficult to detect a tonal shift of 5 cents for most people.
Hence we can consider an accuracy of 963 Hz ±5 %.
Hence a range of 915 to 1010 Hz should be considered acceptable unless the Gods disapprove.

Edit:
1 cent is approx. 0.5 Hz at this frequency. Hence 5 cents is about 3 Hz.
The acceptable range is 960 - 966 Hz or ±0.3%

Not sure if I follow this. On the 12 note scale the ratio of adjacent semitones is about 1.059 being the twelfth root of twelve. Most people can distinguish half a semitone, some can distinguish one quarter and generally speaking it’s easier to distinguish notes of a higher frequency.

1010 over 915 is 1.10

 

.... nor did they specify whether the harmonics of 963Hz present in a square wave were good or bad for spiritual development.

I suspect that the gods would prefer a sinewave.
However, we don't know for certain why the TS wants 963Hz. Perhaps we shouldn't jump to too many conclusions from what shows up on google.

 

Half a semitone is 50 cents, which most people can detect.
Hence, I am pushing the detection limits to 5 cents which is about 3 Hz at 963 Hz.

 

a semitone is 2^(1/12) = 1.0595

a cent is 1.0595^(1/100) = 1.00058

five semitones above 963 is

963 x 1.00058^5 = 965.8

 

a semitone is 2^(1/12) = 1.0595

a cent is 1.0595^(1/100) = 1.00058

five semitones above 963 is

963 x 1.00058^5 = 965.8

I’ve always found the cent a confusing way to distinguish note intervals. Five semitones above 963 Hz is 963 x ((2 ^ (1/12))^5) = 1285

 

100 cents is the interval between two semitones.
Assuming a linear relationship between 932 and 987 Hz, one cent is about 0.5 Hz.

 

Let's ask the silly question.
Why does it have to be 963 Hz?

I have a function generator and I tried all solfeggio frequencies in my device. At 963 Hz it has healing effects for me so I want to make square wave with that frequency. Actually it works more good in sawtooth waveform also.

Nikola Tesla also said, “If you only knew the magnificence of the 3, 6 and 9, then you would have the key to the universe”, that seems to hold effect here.

 

I finally found a video tutorial on youtube that says how to generate pwm using Pi Pico and Micropython and it goes as low as 10 Hz.

I am learning about Pi Pico programming and I have to get my PC ready. In the mean time I will try what Ian0 suggested using frequency divider circuit.

 

100 cents is the interval between two semitones.
Assuming a linear relationship between 932 and 987 Hz, one cent is about 0.5 Hz.

Yes, close as in 2.5 vs the actual 2.8 for 5 cents. Each cent is a different # of Hz since it a geometric progression just as the semitones are, i.e. each cent is the same ratio rather than the same Hz interval.

 

A year ago I saw an Application Note, 555' timer circuitry was replicated on a discrete components. Main circuit difference was the timing capacitor discharge circuit , it was based on a Mosfet transistor, not a BJT. Only two precise components were required, R and C , and the frequency can be set up to 10 or 20 kHz. The oscillator was almost as stable as a quartz oscillator

 

Make an oscillator with a 74HCU04, then divide by 39 and 213 using two 74HC103s, then divide by two with a 74HC74.

These ICs are hard to find from my suppliers in my place. I could only get hold of IC cd 4060 and crystal oscillators the other ICs you mentioned are not accessible for me.

So going with Pi Pico option seems best and trying out for curiosity using other options isn't possible and would be too expensive to buy it from mouser, ebay considering the shipping costs while a Pi Pico would be more cost effective and efficient.

 

I have a function generator and I tried all solfeggio frequencies in my device. At 963 Hz it has healing effects for me

Too bad James Randi is no longer with us.

One Million Dollar Paranormal Challenge

 

Too bad James Randi is no longer with us.

One Million Dollar Paranormal Challenge

No I wouldn't go for that. It works for me does not necessarily mean it could work for everyone. I am just trying to better my own life with my experiments and not into proving anything.