ROBERT’S NEW DISCOVERY
In recent years, Robert E Grant’s investigations have been able to discover the direct relationships between mathematics, geometry, cosmology and music.
His announcement of May 23, demonstrates that our Sexagesimal Time System is based on musical scales that are fully incorporated into the compass navigation system: The Musical Wave of Time.
From repeated occurrences of the number 528, in the water, in DNA, in the measurements of the Giza plateau, and also for its popularity as a healing frequency, Robert decided to calculate a second version of the Precise Temperament Tuning for 528 Hz.
The result was an expanded scale of 24 quarter-tones per octave, where all multiples of the mathematical constants Euler and PI appear as musical notes. With the frequencies of the 528 Hz scale fitting perfectly between the frequencies of the 432 Hz scale, forming two logarithmic spirals with periodic intersections, which represent the Sound and Color spectra.
The number 24 also has significance in many areas as Robert demonstrates in his publications. (links below)
This discovery expands the Precise Temperament Tuning scales to 3 versions:
Precise Temperament Tuning for 432 Hz, from 2021.
And, from May 23: the new Precise Temperament Tuning for 528 Hz,
and Precise Temperament Tuning 24-note for 432 Hz and 528 Hz.
RESOURCES FOR DOWNLOAD
Download the Zip with the tuning files, two images and a PDF table with all musical notes, frequencies and related informations.
The 24-PTT Chromatic Wheel was adapted from “The Extended Color Wheel”. Which was implemented by Edouard Fouché in 2017 and is based on the book “The Art of Color” by Johannes Itten.
In the PDF, the red and purple bars between the frequencies and the quarter-tones illustrate which of the two scales, 432 or 528, each quarter-tones comes from. The thin and almost transparent diagonal lines, which begin at the central octave, illustrate the expansion of the scale from 12 to 24 notes, listed in the column Remap. In the header there are 4 links to view the tunings in the ScaleWorkshop online application. It is possible to play the notes using the computer keyboard or any connected MIDI controller.
This 24-note scale is different from those we are used to and does not obey the traditional piano layout. Its 24 notes per octave result in 24 keys distributed in two octaves of the keyboard. The use of 24 quarter-tones per octave makes it difficult to perform using a conventional keyboard. But it opens up new possibilities for musical programming, since it allows intervals, harmonies, modulations and transpositions that are impossible on 12-tone scales.
But the MIDI protocol has a limitation of 128 notes, making a grand piano that has 88 notes, now occupy 176 quarter tones. And that reduces the octaves covered to just over 5. That is, from the midpoint at A4 432.081 Hz, we reached the lowest note in E2 = 58.940 Hz, and in the highest note in B6 = 2304.432 Hz. In the OddSound MST-ESP, Infinitone DMT and Entonal Studio softwares it is possible to move this range up or down.
This limitation can be overcome by using the two provided 12-tone scales. There is one disadvantage and some advantages with this approach. By using the two 12-note scales instead of one 24-note scale, you will not be able to use the intervals of both simultaneously. But on the other hand, you will be able to play all MIDI notes, without the range limitation, and best of all, you will keep the traditional piano layout.
Note the small difference between the colors of the musical notes on the 432 Hz and 528 Hz scales.
HOW DID I ADAPT IT TO MUSIC?
My idea is to musically explore the connections revealed by Robert, which relate the 7 Chakras with the 7 musical notes and the 7 colors, but in addition, also with the 24 hours of the day. Resulting in a perfect 24 wheel of tones and colors.
For this I started a musical project that condenses the 24 hours of the day into 60 minutes, and in this way each quarter tone assumes the duration of 2 minutes and 30 seconds. Resulting in 7 songs, where 5 of them have 4 quarter-tones and the other 2 have only 2 each. Perfectly following the frequencies, colors and durations related to each Chakra.
| CHAKRA | NOTES | NAMES | DURATION |
| 1 | C, C*, C#, C#* | Red Root Earth | 10 min (2:30×4) |
| 2 | D, D*, D#, D#* | Orange Sacral Water | 10 min (2:30×4) |
| 3 | E, E* | Yellow Solar Fire | 5 min (2:30×2) |
| 4 | F, F*, F#, F#* | Green Heart Life | 10 min (2:30×4) |
| 5 | G, G*, G#, G#* | Blue Throat Action | 10 min (2:30×4) |
| 6 | A, A*, A#, A#* | Purple Pineal Vision | 10 min (2:30×4) |
| 7 | B, B* | Violet Crown Spirit | 5 min (2:30×2) |
The first track named Red Root Earth, which contains the 528 Hz in its second quarter tone, brings sounds from the mineral world such as tectonic movements, crystal resonances and metal creaks. And track 6, named Purple Pineal Vision, which starts with 432 Hz, features mental harmonies and technological synthesizers.
The tracks: 2 Orange Sacral Water, 3 Yellow Solar Fire, 4 Green Hearth Life, 5 Blue Throat Action and 7 Violet Crown Spirit will be released in the second half of 2023 on ToniMazzotti.com, as well as the full version with 60 minutes.
Above, a white arrow runs through the 24-color ruler, referring to each quarter-tone. In the middle are the information about the root note, the frequencies of its octaves, the name of the corresponding Chakra and its number, and also the absolute time traveled in each quarter-tone, as well as the time relative to the 24 hours of the day.
Below, in the Spectrogram, it is possible to visualize the main frequencies used in each song. The emphasis is on the fundamental musical note, with the continuous low end, making clear the change of quarter tone every 2 and a half minutes.
FREE MIDI Plugin
To simplify the process of producing music with these scales, I started coding a MIDI plugin. It receives the signal from conventional MIDI controllers, and sending each note to a new midi channel by using MPE technology. This way I was able to tune any software instrument via Pitch Bend manipulation. More information about it in future videos.
CREDITS AND LINKS
Music, vídeo and documentation by Toni Mazzotti
Precise Temperament Tunings by Robert E Grant
Sexagesimal Time System is Based on Musical Scales by Robert E Grant
The True Tetractys? by Robert E Grant
The Extended Color Wheel by Edouard Fouché
The Art of Color book Johannes Itten