Thanks! The 12-Tone Ultra Plus system goes up to the 13th Harmonic. And I agree, tuning to an open Harmonic chord is a great way to hear these pitches on a standard guitar. A favorite is Just A9, which is, low to high, E, A, C#, G 1/2 flat, B, E This is Harmonics 3:4:5:7:9:12 so C# = 386 cents, G 1/2 flat = 969 cents, E = 702 and B = 204. The high E can also be changed to the 11th or 13th Harmonic (11th = 551 cents, 13th = 840.5 cents).
That is a cool one. I'm not sure I interpreted it but you can hear me trying it on my channel, called "Just A9 (after Catler)" [DSCF8354.avi] .
I made the 5th harmonic of A line up with the 4th harmonic of the c# and with the 3rd harmonic of the ghflat. Then the b and e are normal but just rather than tempered. Maybe I got it wrong but it sounds good:-)
That looks correct except for the G string, which should be tuned to the 7th Harmonic of 'A'. You can find this pitch as a harmonic on the 'A' string that lies near the third fret, but a little closer to the nut. If you were using a tuner, the 'G' string would go down about 31 cents to G half flat. But once you know the pitch, it's nice to be able to tune to harmonics like this without using a tuner
I think I wrote you on another video about how excited I was to see you doing these pure 7 chords. I was playing around with open tuning once a few years ago and tuned the 1st string to the 7th harmonic of the low E and then all the others just-tuned in between and got a result similar to yours: an incredibly sweet, clean clear and beautiful 7 chord. I think it is a nice coincidence that this happens to work out using the 7th harmonic, though I think you are using only throu the 5th harmonic?
PART ONE REPLY: The 12-Tone Ultra Plus system uses 12-Tone Equal Temperament as a basis, which has major and minor thirds which are 14 cents sharp and 16 cents flat from Harmonic Series equivalents. This is too small of a distance to place additional frets to allow Just major or minor thirds - you would have to replace all the frets and start from scratch.........(continued)...........
PART TWO REPLY: One way to get Just major and minor thirds from this system is to tune to an open tuning, such as open G (DGDGBD), and tune the B string to a pure major third above G. This give a pure Just Major triad in 24 different keys! It also still allows for the pure Just 7th, 11th, and 13th Harmonics of the Ultra Plus system. I have been using this tuning myself for the past couple of months, and it is very inspiring........(continued).......
PART THREE REPLY (FINAL): There are other types of Just thirds that are possible in this system in standard or open tuning. These include Super Major thirds (such as 9/7), Neutral thirds (11/8) and half minor thirds (7/6). These thirds are perfectly in-tune and have their own unique feelings, and are not even approximated on standard fretted guitars.
Actually, the first few notes of the demo are played clean, then the more saturated tone is brought in. Difference tones are much louder in relative volume when the distortion is added, and since this is a demo of difference tones, it is more effective with this sound.
Oops I miuscounted. You *do* go to the 7th harmonic, yes?
vibratingstring 2 months ago
@vibratingstring
Thanks! The 12-Tone Ultra Plus system goes up to the 13th Harmonic. And I agree, tuning to an open Harmonic chord is a great way to hear these pitches on a standard guitar. A favorite is Just A9, which is, low to high, E, A, C#, G 1/2 flat, B, E This is Harmonics 3:4:5:7:9:12 so C# = 386 cents, G 1/2 flat = 969 cents, E = 702 and B = 204. The high E can also be changed to the 11th or 13th Harmonic (11th = 551 cents, 13th = 840.5 cents).
FreeNoteMusic 1 month ago
@FreeNoteMusic
That is a cool one. I'm not sure I interpreted it but you can hear me trying it on my channel, called "Just A9 (after Catler)" [DSCF8354.avi] .
I made the 5th harmonic of A line up with the 4th harmonic of the c# and with the 3rd harmonic of the ghflat. Then the b and e are normal but just rather than tempered. Maybe I got it wrong but it sounds good:-)
vibratingstring 1 month ago
@vibratingstring
That looks correct except for the G string, which should be tuned to the 7th Harmonic of 'A'. You can find this pitch as a harmonic on the 'A' string that lies near the third fret, but a little closer to the nut. If you were using a tuner, the 'G' string would go down about 31 cents to G half flat. But once you know the pitch, it's nice to be able to tune to harmonics like this without using a tuner
FreeNoteMusic 1 month ago
I think I wrote you on another video about how excited I was to see you doing these pure 7 chords. I was playing around with open tuning once a few years ago and tuned the 1st string to the 7th harmonic of the low E and then all the others just-tuned in between and got a result similar to yours: an incredibly sweet, clean clear and beautiful 7 chord. I think it is a nice coincidence that this happens to work out using the 7th harmonic, though I think you are using only throu the 5th harmonic?
vibratingstring 2 months ago
OMG and there it is--exactly what I mentioned earlier after seeing your other video. So Cool!
This is Awesome that you are doing this stuff! I thought I was just a whacky engineer!
vibratingstring 8 months ago
the paradigm keeps changing
watching this video makes me feel that everything we learnt is wrong
then I catch myself and tell me that what we learn is not complete phew
lexusmaxus 8 months ago
Are Just major/minor 3rds possible on this fretting system?
EricJacksonArts 1 year ago
@EricJacksonArts
PART ONE REPLY: The 12-Tone Ultra Plus system uses 12-Tone Equal Temperament as a basis, which has major and minor thirds which are 14 cents sharp and 16 cents flat from Harmonic Series equivalents. This is too small of a distance to place additional frets to allow Just major or minor thirds - you would have to replace all the frets and start from scratch.........(continued)...........
FreeNoteMusic 1 year ago
@EricJacksonArts
PART TWO REPLY: One way to get Just major and minor thirds from this system is to tune to an open tuning, such as open G (DGDGBD), and tune the B string to a pure major third above G. This give a pure Just Major triad in 24 different keys! It also still allows for the pure Just 7th, 11th, and 13th Harmonics of the Ultra Plus system. I have been using this tuning myself for the past couple of months, and it is very inspiring........(continued).......
FreeNoteMusic 1 year ago
@EricJacksonArts
PART THREE REPLY (FINAL): There are other types of Just thirds that are possible in this system in standard or open tuning. These include Super Major thirds (such as 9/7), Neutral thirds (11/8) and half minor thirds (7/6). These thirds are perfectly in-tune and have their own unique feelings, and are not even approximated on standard fretted guitars.
FreeNoteMusic 1 year ago
I think this demo would be more effective on a clean amp
lighteningboy 1 year ago 2
@lighteningboy
Actually, the first few notes of the demo are played clean, then the more saturated tone is brought in. Difference tones are much louder in relative volume when the distortion is added, and since this is a demo of difference tones, it is more effective with this sound.
FreeNoteMusic 1 year ago
When you play the chord with the 11th harmonic, is it just a normal major chord with an added 11th partial?
tomatoe0000 1 year ago
@tomatoe0000
That 11th chord is voiced with the root on the bottom, then the major 3rd, then the Harmonic 7th, 9th and 11th.
FreeNoteMusic 1 year ago
Very useful video. This guitar needs to be in the hands of many more musicians!!
sevishmusic 1 year ago