This is a free analysis generated by a recording of M3's and P4's submitted to me by one of my subscribers.
Contact Me Now if you would like a free analysis of one of your temperaments.
NOTE: This temperament was an exercise where the student was instructed to tune the temperament IN ONE PASS.
NO refinement was done after all the notes were tuned.
Sequence Used: Small Scale Go A.P.E. Sequence
Piano: Unknown Submitted by: 022
BEAT SPEED PROGRESSIONS
YOUR M3 RESULTS: 82.7% (Goal 80%) Goal: Chromatically increasing by 0% to 12%
M3's Unfiltered
M3's Filtered
YOUR P4 RESULTS YOUR M3 RESULTS: 83.3% (Goal 80%) Goal: 0.5 bps to 1.5 bps
P4 Unfiltered
P4 Filtered
HOW TO USE THE GRAPHS AND AUDIO TO IMPROVE YOUR EAR
1. Listen to the recordings while looking at the graphs.
2. Listen to the filtered recordings and try to confirm aurally that the beat speeds are following what the graph says.
This improves your "Beat Speed Difference Sensitivity" - Your ability to hear small differences in beat speeds.
3. Listen to the unfiltered recordings and try to hear the specific beating partial within the unfiltered recording.
This improves your "Tuner's Ear" - Your ability to filter frequencies at will.
GRADING OF THE TEMPERAMENT
This temperament has been marked with the new marking system. The old system used levels. The new system uses a formula. The result is that tunings that are close to the limit lose less marks and tunings that are way off lose more marks. See graph.
Traditional Refinement Procedure (Obsolete) In refining a temperament, we identify two or more problems that suggest the same note may be too high or too low, and then change that note to fix multiple problems.
This reiterative method helps us improve the temperament bit by bit.
This is why it is imperative that, if you want to improve your aural tuning, you must improve your beat speed recognition.
Exercises like these can help greatly.
You are encouraged to read the analysis and confirm aurally that you can hear the findings, and understand how the improvements suggested would improve the beat speed progressions.
In this way, you will improve your ability to rationalize the logic, and improve your ear to be able to hear smaller and smaller beat speed differences.
Improving these skills will greatly improve your temperament.
Conclusions
While there were many errors, the only note that could be caught was C4. There were even conflicting reports of C#4 being simultaneously high and low at the same time.
The Go A.P.E. Refinement Procedure
"Check the first note tuned, the way it was tuned"
In these notes, F3 and F4 were tuned early. Check the F3F4 size and the Skeleton, F3A3C#4F4A4.
Then the C#4 within the Skeleton.
Then the A#3 was tuned within C#4F4 < A#3C#4 < F4A4 abd checked within F3A4 < F#3A#3 < F3D4. F3A3 and F#3A#3 imply no error, but F#3 could be low too (F#3B3 = 1.5 bps) Check F#3 and A#3 the way they were tuned.
The modified Go APE Sequence says that you get permission to raise D#4 and E4 if they are exactly in the middle of their windows because of the accumulated error of using the inside/outside M3/M6 equality.
Well look at D#4 and E4. They are both low.
And they are used to tune the M3's below, with no added error, i.e. the error in D#4 is copied to B3 and G3, and the error in E4 is copied to C4 and G#3.
And look, G3 and G#3 are low. B3 is high but F#3B3 is too fast. That could be why. C4 is high but G3C4 is too fast. That could be why.
Check each note the way it was originally tuned. Use a bandpass filter if you need to.
Note that this is a one-pass temperament that would probably pass the RPT exam - in only one pass. That needs to be repeated.
IMPORTANT
Traditional refinement procedures require you to finish the temperament before you can have any insight.
They also require you to test multiple intervals before you get any valuable information.
The Go A.P.E. Sequence allows to to self correct before you are finished. Also, because of the incredible accuracy in the Go A.P.E method, you fix notes the way they were tuned. (No searching high and low for reasons why a note is wrong)
If you are not a member yet, why not take a look inside and see what other great videos and lessons there are to help you learn how to better tune pianos?
