Thorne, You are so close...Keep on keepin' on...Perseverance will pay off...
- Gadget73, Analyzing and upgrading active feedback networks is a passion of mine. With the 390pf or 350 pf across/in parallel with the bass pole plus the treble pole resistor is the misleading factor. If anyone wants to read the seminal phono preamp playback curve EQ treatise, complete with trigonometric analysis of any type of EQ, passive or active, check out the Journal of the Audio Engineering Society (AES), June 1979, Vol. 27, issue #6. Stanley Lipshitz authors, later assisted by Walter Jung, two legendary audio engineers. Some of the best active feedback phono preamps can be verified accurately with this algebraic formula:
- (R1 x R2) divided by (R1 + R2) results in a multiplier, then multiplied by (C1 + C2). Thinking of parallel resistors, they are considered "product over sum." Likewise, the caps being additive, are considered parallel caps.
- The multiplier multiplied by (C1 + C2), results in a Time Constant, in uSec. representing the actual Turnover frequency.
- Finally, the mathematical constant of 159,155 (uSec. for 1 Hz) divided by the derived Turnover in uSec, yields the actual Turnover in Hz, which is 3db above the 0db reference at 1KHz, beginning the upward slope toward the bass boost of the playback curve.
- Each network "pole" as in the bass boost network or the treble rolloff network also has a TC (Time Constant) with simple R x C = TC in uSec. then divided into the 159,155 to arrive at the Bass boost peak and Treble rolloff frequency transition points within the playback curve. These transition points are known as asymptotes.
As an example, let's see an excellent RIAA EQ circuit destined for upgrading Dyna PAS, Eico HF-85, HF-81 phono stage, the little chrome cutie Shure M-65 Phono preamp and other stereo dual 12AX7 preamps which have both tubes using cathode resistors. In this notation, // means "in parallel with" while & indicates in series with...:
2700pf // 2.2Meg Ohms & 815pf // 92K Ohms. Mathematically, (2,200,000 x 92,000) divided by 2,292,000 (2.2Meg + 92K) = multiplier 88,307.155
Then, 88,307.155 multiplied by .003515 (C1 + C2) = 310.399 uS. 159,155 divided by 310.399 = 512.74 Hz, which is nicely close to the RIAA spec of a 500 Hz Turnover.
Let's examine the R x C for each pole : Bass: .0027 x 2,200,00 = 5940 uS. 159,155 / 5940 = approx. bass resonance at 27 Hz, lower than the RIAA 50Hz spec. With low value coupling caps, like .025 to .047uf, this works out very well, in circuit...with outstanding bass measurements and sound in my Eico HF-85.
Treble: .000815 x 92,000 = 74.98 uS. 159,155 / 74.98 = 2122.6 Hz, seriously close to the RIAA specified 75us or -3db freq of 2122 Hz.
BTW, the above network values are similar to George's Regenesis retrofit to his reference PAS experiments.
Now, if we were to use the network values of Fisher's 500C phono EQ or dcgillespie's Revised Fisher phono EQ circuit, I am afraid you might be disappointed with the results. The treble will imply extra rolloff and the bass will appear, mathematically slightly soft. However, in circuit, it can certainly sound lovely and the playback curve can measure within the original RIAA spec's tolerance of + or - 2 db from 30 to 15,000 Hz, possibly even measured from 20-20KHz.
That is it for me tonight. I can edit and add more later. I just wanted you all to see the analytical algebraic math involved which verifies RIAA adherence. RIAA originally specifies 3180 uS for bass, 318 uS for Turnover, 75 uS for Rolloff.