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​​​​Temperament Report 021

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.

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 within 30 minutes only.

Piano: Unknown
Submitted by: 021

BEAT SPEED PROGRESSIONS

YOUR M3 RESULTS: 56.7% (Goal 80%)
Goal: Chromatically increasing by 0% to 12%

M3's Unfiltered

M3's Filtered

YOUR P4 RESULTS
YOUR M3 RESULTS: 94% (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. 

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.

Keep up the good work and don't give up! You're getting better all the time!
Mark

Conclusions

This was a very interesting temperament to mark; there were no notes that tested with the same possible error. This shows that there would be no way to improve this temperament using traditional refinement techniques.

The Go A.P.E. Refinement Procedure

However, since this was a Small Scale Sequence, we can easily see where notes could have been caught before the sequence was even finished.

In the Go APE System for Small Scale, we check F3A3-F#3A#3-F3D4 after F#3 and A#3 are tuned.

Here we would be able to hear that F#3A#3 is slower than F3A3, before we are even finished the sequence, and we would be sent back to check F#3 and A#3 the way they were originally tuned.

F#3 was tuned within the window A3C#4 and C#4F4.

The procedure states to check this "Window" before going on.

A3C#4 and C#4F4 increase by 26%. That's close to perfect. We would hear the increase and correctly infer that the window exists. (If it didn't, more simple checking of each of these notes notes the way they were originally tuned would be required.)

Then we would re-listen to A3C#4(slow)-F#3A3(medium)-C#4F4(fast), (the way F#3 is tuned in the Small Scale Sequence) and try to get permission to lower F#3. (We would "hope" to hear F#3A3 closer to C#4F4, which would gives us permission to lower F#3)

There is a similar procedure for A#3.

Virtually 100% of the time, when these tests are done, we find the errors that correct the original problem, and early on, before the sequence is even finished and these errors are used to erroneously tuned other notes.. 


IMPORTANT

This is a traditional refinement procedure.
It requires you to finish the temperament before you can have any insight.
It also requires 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)



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