These data relate to the work published in Biochemical Journal DOI: 10.1042/BCJ20210812 The peptides investigated had the following sequences: 1 Ac-AAQAAARQApSAAQKAY-NH2 2 Ac-AAQAAARQA SAAQKAY-NH2 3 Ac-AAQARAAQApSAAQAKY-NH2 4 Ac-AAQARAAQA SAAQAKY-NH2 5 Ac-AAQAAARQApSAAQAKY-NH2 6 Ac-AAQARAAQApSAAQKAY-NH2 7 Ac-AAQAAARQApTAAQKAY-NH2 8 Ac-AAQAAARQA TAAQKAY-NH2 9 Ac-AAQAAARQA AAAQKAY-NH2 10 Ac-AAQARAAQA AAAQAKY-NH2 where p denotes phosphorylation of the following S or T; Ac and NH2 are acetyl and amide capping groups. Circular dichroism: spectra were recorded at pH 7 and a temperature of 5 deg C using an APP Chirascan CD spectropolarimeter and 1 mm pathlength quartz cuvettes. Sample concentrations (shown in the spreadsheets) were typically 50-100 micromolar. Nuclear magnetic resonance spectroscopy: 1H-15N HMQC, 1H-13C HSQC, 1H-1H TOCSY and 1H-1H NOESY NMR spectra were recorded for each peptide on a 600-MHz Bruker Avance spectrometer equipped with a quadruple resonance QCI-P cryoprobe, or a 950-MHz Bruker Ascend Aeon spectrometer equipped with a 5 mm TXO cryoprobe. Spectra were recorded at pH 6.5-7 and a temperature of 5 deg C.