PIANO TUNING TEMPERAMENT
ANALYSIS AND SCORING
This is a free analysis generated by a recording of M3's and P4's submitted to me by one of my subscribers.
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Piano: Unknown
Submitted by: 024
YOUR M3 RESULTS
MARK: 100% (Goal 80%)
Goal: Chromatically increasing by 0% to 12%
M3's Unfiltered
M3's Filtered
YOUR P4 RESULTS
MARK: 82.9% (Goal 80%)
Goal: 0.5 bps to 1.5 bps
P4 Unfiltered
P4 Filtered
Analysis
This temperament was very well done, especially the M3's. I don't think any ETD could come close to that. But we remember that progressive M3's are not a musical goal. The goal is a harmonious tuning across the whole keyboard. We may end up destroying this in favour of having pure P11/12/19/22 as we tune the strtetch later on.
The P4's that could be improved have no confirmation from the M3's.
If we had the m3/M6 speeds and the F4A4 speed, then we could analyze where in the Go APE procedure this technician might have been able to catch the pure and fast P4's and tweak them.
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.
INSIGHTS
You must understand interval sizes in the following courses:
Equal Temperament, and Wide, Narrow, and Pure Intervals,
in order to follow the logic explained below.
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.
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 you 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)
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