Tempered Tuning versus Just Intonation
Moderator: Shoshanah Marohn
-
- Posts: 2833
- Joined: 19 Jul 2005 12:01 am
- Location: Santa Rosa, California, USA
Tempered Tuning versus Just Intonation
When I first began playing the pedal guitar, I just tuned everything straight up. It sounded fine to me. Tuning some notes high and others low using methods like the one Jeff Newman espoused seems to make the guitar sound better to other people's ears when I play in a group. But I think it sounds terrible. There was a thread about this, I think with the same name as mine, awhile back. But I can't find it.
Amor vincit omnia
- Earnest Bovine
- Posts: 8318
- Joined: 4 Aug 1998 11:00 pm
- Location: Los Angeles CA USA
- Andy Sandoval
- Posts: 5176
- Joined: 22 Jul 2004 12:01 am
- Location: Bakersfield, California, USA
- Contact:
This is just the tip of the iceberg. Click Here
Last edited by Andy Sandoval on 27 Mar 2011 7:55 am, edited 1 time in total.
I think it's worth mentioning that Edward plays C6th exclusively. Equal temperament does sound better on C6th than on E9th. I don't really know why.
The problem I have with equal temperament is that when any of your thirds drift slightly sharp it sounds horrible. Similarly, if you tune to just intonation and any of your thirds drift slightly flat, it sounds horrible. Neither option is fault tolerant with regards to external forces (neck tension, cabinet drop, axle stress, temperature changes, etc.).
ET theory says that thirds should be tuned to exactly 400 cents. JI theory says that thirds should be tuned to exactly 386.3 cents. If your thirds are tuned anywhere between those extremes, almost everyone will hear it as "in tune".
On my C6th and D6th copedents, I tune my thirds to 390 cents because it's in that range, it's fault tolerant and it's easy to see on my meter. I use meantone temperament, following the basic theory described on this page:
http://b0b.com/infoedu/WellTemperedC6th.html
There are many degrees of meantone, depending on the size of the 5th interval used for the calculations. Equal temperament itself is a special case of meantone, one in which all of the possibilities resolve into exactly 12 notes. I can endure ET on instruments that require it (like my marimba), but I really do prefer purer harmonies whenever they are possible.
The problem I have with equal temperament is that when any of your thirds drift slightly sharp it sounds horrible. Similarly, if you tune to just intonation and any of your thirds drift slightly flat, it sounds horrible. Neither option is fault tolerant with regards to external forces (neck tension, cabinet drop, axle stress, temperature changes, etc.).
ET theory says that thirds should be tuned to exactly 400 cents. JI theory says that thirds should be tuned to exactly 386.3 cents. If your thirds are tuned anywhere between those extremes, almost everyone will hear it as "in tune".
On my C6th and D6th copedents, I tune my thirds to 390 cents because it's in that range, it's fault tolerant and it's easy to see on my meter. I use meantone temperament, following the basic theory described on this page:
http://b0b.com/infoedu/WellTemperedC6th.html
There are many degrees of meantone, depending on the size of the 5th interval used for the calculations. Equal temperament itself is a special case of meantone, one in which all of the possibilities resolve into exactly 12 notes. I can endure ET on instruments that require it (like my marimba), but I really do prefer purer harmonies whenever they are possible.
-𝕓𝕆𝕓- (admin) - Robert P. Lee - Recordings - Breathe - D6th - Video
- David Mason
- Posts: 6072
- Joined: 6 Oct 2001 12:01 am
- Location: Cambridge, MD, USA
If you've got a full load of pedals and knees, and use them in a manner that any of the bottom 3 (or 4) strings are providing the root, you're stuck with ET, really. There's no way to "sweeten" something that doesn't sour something else - I tried b0b's tuning above and it sounded awful. I tracked it down to one combination that was 16 cents off; I don't remember which one, but I'm not about to repeat that!
- Earnest Bovine
- Posts: 8318
- Joined: 4 Aug 1998 11:00 pm
- Location: Los Angeles CA USA
- Jeremy Craft
- Posts: 73
- Joined: 29 Oct 2010 9:24 am
- Location: Portland, Oregon
Which tuning system to use depends....
When I'm practicing by myself, I like to use JI because it sounds sweeter. If I'm playing with fiddles and upright bass, I stick with JI because the other instruments are capable of adjusting their intonation to JI.
However, when I'm playing with guitars and/or piano, I use ET because those instruments are tuned with ET.
However, when I'm playing with guitars and/or piano, I use ET because those instruments are tuned with ET.
-
- Posts: 2833
- Joined: 19 Jul 2005 12:01 am
- Location: Santa Rosa, California, USA
-
- Posts: 2833
- Joined: 19 Jul 2005 12:01 am
- Location: Santa Rosa, California, USA
b0b wrote:I think it's worth mentioning that Edward plays C6th exclusively. Equal temperament does sound better on C6th than on E9th. I don't really know why.
The problem I have with equal temperament is that when any of your thirds drift slightly sharp it sounds horrible. Similarly, if you tune to just intonation and any of your thirds drift slightly flat, it sounds horrible. Neither option is fault tolerant with regards to external forces (neck tension, cabinet drop, axle stress, temperature changes, etc.).
ET theory says that thirds should be tuned to exactly 400 cents. JI theory says that thirds should be tuned to exactly 386.3 cents. If your thirds are tuned anywhere between those extremes, almost everyone will hear it as "in tune".
On my C6th and D6th copedents, I tune my thirds to 390 cents because it's in that range, it's fault tolerant and it's easy to see on my meter. I use meantone temperament, following the basic theory described on this page:
http://b0b.com/infoedu/WellTemperedC6th.html
There are many degrees of meantone, depending on the size of the 5th interval used for the calculations. Equal temperament itself is a special case of meantone, one in which all of the possibilities resolve into exactly 12 notes. I can endure ET on instruments that require it (like my marimba), but I really do prefer purer harmonies whenever they are possible.
That's a good page. It always helps me to understand the theories behind the various practices. And actually, I'm making some progress. There are still a couple of changes, though, that I just can't get to sound right. And I had noticed that even without other instruments present, some frets sound righter played high, others low and still others right on. So much for the mathematics of music.
Amor vincit omnia
- chris ivey
- Posts: 12703
- Joined: 8 Nov 1998 1:01 am
- Location: california (deceased)
-
- Posts: 605
- Joined: 20 Jan 2009 5:15 pm
- Location: Way out West
Bob's C6th ...
I use Bob's tempered C6th on both of my guitars and find it works quite well - even with piano or guitar. As long as I pay attention to bar intonation I am golden - thanks Bob!!!!!!!!!
Jim
Jim
- James Morehead
- Posts: 6944
- Joined: 19 May 2003 12:01 am
- Location: Prague, Oklahoma, USA - R.I.P.
Good one Andy. I tuned my 'bud to that, but the guitar lost that warm vibe.Andy Sandoval wrote:This is just the tip of the iceberg. Click Here
"Good judgement comes from experience, and a lot of that comes from bad judgement"~old cowboy proverb.
shobud@windstream.net
shobud@windstream.net
Well, you are always going to be playing to your ears.
Whatever your tuning method, you have to give it long enough for your internal computer and your reflexes to adjust to it. And for (them) to (adjust to) the instruments you are playing with (at any given time). Sometimes to a sharp guitar, or a flat vocal. Either way, you're constantly adjusting your tuning while you play. It's just the nature of the beast.
I've always found that "straight up" seems to mesh the best with other instruments that tune that way.
After thirty some years of it, I"m kind of used to whatever adjustments I might make for whatever reasons.
Others' MMV of course.
EJL
Edited for corrections...
Whatever your tuning method, you have to give it long enough for your internal computer and your reflexes to adjust to it. And for (them) to (adjust to) the instruments you are playing with (at any given time). Sometimes to a sharp guitar, or a flat vocal. Either way, you're constantly adjusting your tuning while you play. It's just the nature of the beast.
I've always found that "straight up" seems to mesh the best with other instruments that tune that way.
After thirty some years of it, I"m kind of used to whatever adjustments I might make for whatever reasons.
Others' MMV of course.
EJL
Edited for corrections...
Last edited by Eric West on 6 Apr 2011 7:14 pm, edited 2 times in total.
- Hook Moore
- Posts: 4103
- Joined: 4 Aug 1998 11:00 pm
- Location: South Charleston,West Virginia