Why can't I flash Attiny13 at a low clock speed?

Question

Microcontrollers

The point is this. I have a debugging scarf, on attiny13, with which I experiment. Usually, a frequency of 9.6 MHz is set on it with fuses and a divider by 8 is turned on, that is, it turns out 1.2 MHz. On these settings, everything is perfectly sewn through AVRDUDE with the AVR-DOPER programmer (on USBASP hardware).
But then I set the frequency to 4.8 MHz, that is, everything with the divider turned out to be 600 kHz - and that's it, the chip stopped being a pipe.
With grief in half, I restored the fuses from AVR Studio with a programmer - a clone of AVRISP MKII. There I had to set the ISP speed to 125KHz, after which the signature and fuses began to be read, the fuses were also written back. But now he doesn’t want to sew it (tinka) into any, although atmegas on arduinos are sewn without problems directly from the studio.
So, how in my case can I overcome this situation and make attiny13 at least somehow run at a low frequency with any of the programmers mentioned above?

Answer 1

Just lower the SPI frequency even more. EMNIP, no more than ¼ of the controller clock frequency. You see - a bit is not enough.