Found the answer myself:
Table with TID 0x50 has the first 3-4 days, 0x51 the next 3+ and so on. In theory it can go up to 0x5f. So to get all the future events that are available one needs to loop round repeating the process using TID 0x50+[0x00 ... 0x0f] until either the end is reached or one of them provides no more events.
However, it appears that one cannot do this with libdvbv5 as it stands: In descriptors.c there is a table of dvb_table_initializers[256] for the various types of table, but it only initialises the base DVB_TABLE_EIT_SCHEDULE (0x50), not all the others. It will therefore not parse the other tables. Thus one needs to rebuild libdvbv5 with a change to descriptors.c as shown below to initialise all relevant TIDs:
const dvb_table_init_func dvb_table_initializers[256] = {
[0 ... 255] = NULL,
[DVB_TABLE_PAT] = TABLE_INIT(dvb_table_pat),
[DVB_TABLE_CAT] = TABLE_INIT(dvb_table_cat),
[DVB_TABLE_PMT] = TABLE_INIT(dvb_table_pmt),
[DVB_TABLE_NIT] = TABLE_INIT(dvb_table_nit),
[DVB_TABLE_SDT] = TABLE_INIT(dvb_table_sdt),
[DVB_TABLE_EIT] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x01] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x02] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x03] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x04] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x05] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x06] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x07] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x08] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x09] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0a] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0b] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0c] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0d] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0e] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE + 0x0f] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x01] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x02] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x03] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x04] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x05] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x06] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x07] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x08] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x09] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0a] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0b] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0c] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0d] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0e] = TABLE_INIT(dvb_table_eit),
[DVB_TABLE_EIT_SCHEDULE_OTHER + 0x0f] = TABLE_INIT(dvb_table_eit),
[ATSC_TABLE_MGT] = TABLE_INIT(atsc_table_mgt),
[ATSC_TABLE_EIT] = TABLE_INIT(atsc_table_eit),
[ATSC_TABLE_TVCT] = TABLE_INIT(atsc_table_vct),
[ATSC_TABLE_CVCT] = TABLE_INIT(atsc_table_vct),
};
I also did it for DVB_TABLE_EIT_SCHEDULE_OTHER, which I assume is correct, though have not tried that. It does appear to work for DVB_TABLE_EIT_SCHEDULE though.