#Tape

In the first part I showed how the Sinclair ZX Spectrum stored data on tape. This second part explains what is stored, and what causes a tape loading error.

The ZX Spectrum BASIC offers a SAVE command for saving all kind of data. It can be used to save a BASIC program, variable arrays, but also arbitrary parts of memory. These files are always saved in two separate blocks. The first block is called header. It contains the file name, data type, and other meta information. The second block follows about a second later and contains the data itself.

The internal structure of each block is identical. The first byte distinguishes between header ($00) and data blocks ($FF). The final byte is a parity checksum. Everything between these two bytes is the payload.

A header block always contains a payload of 17 bytes. The first byte identifies the file type, followed by the file name (10 characters), followed by the length of the data block, and closed by two optional parameters that have different meanings depending on the file type. The length and the two parameters consume two bytes each, with the lower byte coming first because the Z80 CPU is little endian.

This is an example header block of a screenshot:

A screenshot is actually just a memory dump that starts at address $4000 (which is the starting address of the screen buffer) and is exactly 6912 bytes long (the ZX Spectrum has a resolution of 256×192 monochrome pixels plus 32×24 bytes color attributes, giving a screen buffer size of 6912 bytes).

For other file types, the two optional parameters have different meanings. For example, a BASIC program file stores the line number to start at after loading.

The final byte is the parity. It is used for error detection, and computed just by XOR-ing all the bytes that have been read. The result must be $00, otherwise a "R Tape loading error" is reported.

This kind of error detection is rather weak. Due to the nature of the XOR operation, two wrongs give a right. This means that when the block contains an even number of bad bits at the same position, they will be undetected. It is also not possible to correct reading errors, as the XOR operation only allows to identify the position of the bad bit, but not the actual byte that contained the error. More sophisticated error correction algorithms would have slowed down the loading process, though.

The parity is computed as a final step, after all the bytes have been read from the block on tape. For that reason, the loader can only decide at the end of the recording whether the loading was successful or not.

But then, why does the tape loading error sometimes appear while the block is still loading? Well, in the first part I have explained that the loading routine just reads an unknown number of bytes. It ends when waiting for a pulse change took to long. Now, if there is an audio gap on tape, the signal seems to end just in the middle of the block. It is then very likely that the parity checksum is wrong because there are still bytes missing.

Some simple copy protections made use of the way the Spectrum loads data from tape. A very common way were “headerless” files, where the header block was left out and only the data block was recorded on tape. The BASIC LOAD command was unable to read those files because of the missing header.

In the early time of home computers, at the beginning of the 1980's, hard disks and even floppy disks were too expensive for home use. The cheapest way for storing large amounts of data was the cassette tape. Cassettes and tape recorders were affordable and available in almost any household.

In this blog article, I'm going to explain how the Sinclair ZX Spectrum stored programs on cassette tapes. Other home computers of that time, like the Commodore 64 or Amstrad CPC, worked in a similar fashion.

Cassette tapes were designed to store audio signals like voice or music, so the inventors of the home computers had to find a way to convert data to audio signals. The easiest way is to serialize the data to a bit stream of 1's and 0's, and generate a long rectangular wave cycle for "1" and a short rectangular wave cycle for "0". This is what the ZX Spectrum actually does!

A short wave cycle is generated by giving power to the audio output for 855 so called T-states, and then turning off the power for another 855 T-states. A "T-state" is the time of a single clock pulse of the Z80-A CPU. As the CPU of a classic ZX Spectrum is clocked with 3.5 MHz, a T-state has a duration of 286 ns. The duration of a short wave cycle is thus 489 µs, giving an audio frequency of about 2,045 Hz. The long wave cycle is just twice as long.

Due to all kind of filters in the analog audio path, the rectangular signal is smoothed to a sinusoidal signal when played back. A Schmitt trigger inside the ZX Spectrum's hardware converts the audio signal back to a rectangular shape. Since the audio signal can have different amplitudes or could even be inverted, the hardware only cares for signal edges, not for levels. All that the loader routine now has to do is to measure the duration of the pulses, regenerate the bit stream, and put the bytes back together.

If you think that things cannot be that easy, you are right. 😄 The most difficult part for the loader is to find the start of the bit stream. If it is off by only one cycle (or even just a pulse), all the bytes are shifted by one bit, and the result is useless. All kind of noise on the tape makes it impossible to just wait for the signal to start, though.

For this reason, the recording starts with a leader signal, followed by a sync wave cycle, followed by the bit stream itself. The leader signal is just a continuous wave with a pulse length of 2,168 T-states, giving an 806 Hz tone that is displayed by red and cyan border colors on the TV. The sync wave cycle is a pulse of 667 T-States "on", followed by 735 T-states "off". After that, the actual data stream begins, which is displayed in blue and yellow border colors. When the last bit was transmitted, the data stream just ends.

So when the ZX Spectrum loads a file from tape, it first waits for the 806 Hz leader signal. If it was detected for at least 317 ms, it waits for the sync pulses, then it starts reading the bit sequence until there is a timeout while waiting for the next pulse.

It is a very simple way to store data on tape. And still, it is surprisingly reliable. After 30 years, I could recover almost all files from my old cassette tapes. Some of them were of the cheapest brands I could get my hands on back in 1987.

The only disadvantage is that this method is very slow. With 489 µs for a "0" and 978 µs for a "1", saving just 48 KBytes of data can take up to 6 minutes, giving an average bit rate of 1,363 bps (yes, bits per second). If we were to save a single 3 MBytes mp3 file that way, it would take almost 5 hours (and 5 cassettes with 60 minutes recording time each).

Some commercial games used speed loaders and copy protections. Speed loaders just reduced the number of T-states for the pulses, which increased the bit rate. Some copy protections used a "clicking" leader tone, where the leader signal was interrupted before the minimal detection time of 317 ms was reached. The original loader routine could not synchronize to these kind of signals, so it was impossible to read those files into copy programs. Those protection measures could still be circumvented by copying directly from tape to tape, but this only worked a few times due to increasing audio noise.

In the next article, I will take a deeper look at the bit stream contents, and I will also explain where the dreaded "R Tape loading error" comes from.